Details

analyze201.0ms (0.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

578×	`times-frac_binary64_2812`
564×	`cancel-sign-sub-inv_binary64_2772`
457×	`div-sub_binary64_2811`
380×	`distribute-rgt-in_binary64_2756`
359×	`distribute-lft-in_binary64_2755`
313×	`distribute-rgt-neg-in_binary64_2764`
274×	`distribute-neg-in_binary64_2767`
214×	`associate-l_binary64_2747`
203×	`associate-r_binary64_2746`
158×	`distribute-neg-frac_binary64_2770`
146×	`associate-*l/_binary64_2749`
111×	`associate-*r/_binary64_2748`
107×	`associate-/l*_binary64_2751`
89×	`distribute-rgt-neg-out_binary64_2766` `distribute-lft-neg-out_binary64_2765`
66×	`sub-neg_binary64_2799`
64×	`*-rgt-identity_binary64_2796`
63×	`neg-mul-1_binary64_2802` `neg-sub0_binary64_2801`
61×	`*-lft-identity_binary64_2795`
59×	`unsub-neg_binary64_2800`
56×	`distribute-lft-neg-in_binary64_2763`
52×	`associate-+l+_binary64_2739`
48×	`associate-/r*_binary64_2750`
47×	`associate-+r+_binary64_2738`
45×	`associate-/l/_binary64_2753`
38×	`associate--r+_binary64_2742`
32×	`sqr-pow_binary64_2778` `*-commutative_binary64_2737`
30×	`+-commutative_binary64_2736`
20×	`unswap-sqr_binary64_2774`
17×	`associate-/r/_binary64_2752`
13×	`exp-prod_binary64_2858` `pow-sqr_binary64_2779`
9×	`distribute-frac-neg_binary64_2769`
8×	`exp-sum_binary64_2852`
7×	`associate--l+_binary64_2743`
6×	`/-rgt-identity_binary64_2797` `distribute-rgt-out_binary64_2759`
5×	`associate-+l-_binary64_2741`
4×	`cube-prod_binary64_2834` `sub0-neg_binary64_2793`
3×	`exp-diff_binary64_2854`
2×	`cube-unmult_binary64_2843` `cube-div_binary64_2835` `+-rgt-identity_binary64_2791` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `div0_binary64_2787` `swap-sqr_binary64_2773` `associate-+r-_binary64_2740`
1×	`unpow3_binary64_2872` `pow-plus_binary64_2869` `exp-neg_binary64_2853` `1-exp_binary64_2850` `sqr-abs_binary64_2821` `--rgt-identity_binary64_2792` `distribute-rgt-out--_binary64_2760`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `log-pow_binary64_2895` `log-rec_binary64_2894` `log-div_binary64_2893` `log-prod_binary64_2892` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `unpow2_binary64_2871` `unpow1/2_binary64_2870` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow1_binary64_2864` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `div-exp_binary64_2857` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-mult_binary64_2836` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-neg_binary64_2820` `rem-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `mul-1-neg_binary64_2798` `remove-double-neg_binary64_2794` `+-lft-identity_binary64_2790` `*-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `remove-double-div_binary64_2782` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `difference-of-squares_binary64_2775` `cancel-sign-sub_binary64_2771` `distribute-neg-out_binary64_2768` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `distribute-lft-out--_binary64_2758` `distribute-lft-out_binary64_2757` `count-2_binary64_2754` `associate--r-_binary64_2745` `associate--l-_binary64_2744`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	93
1	91	79
2	252	79
3	750	79
4	2536	79
5	4602	79
6	5204	79
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 65 to 53 computations (18.5% saved)

sample45.0ms (0.1%)

Algorithm

1×

intervals

Results

33.0ms

256×

body

128

valid

Compiler

Compiled 129 to 106 computations (17.8% saved)

simplify64.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

578×	`times-frac_binary64_2812`
564×	`cancel-sign-sub-inv_binary64_2772`
457×	`div-sub_binary64_2811`
380×	`distribute-rgt-in_binary64_2756`
359×	`distribute-lft-in_binary64_2755`
313×	`distribute-rgt-neg-in_binary64_2764`
274×	`distribute-neg-in_binary64_2767`
214×	`associate-l_binary64_2747`
203×	`associate-r_binary64_2746`
158×	`distribute-neg-frac_binary64_2770`
146×	`associate-*l/_binary64_2749`
111×	`associate-*r/_binary64_2748`
107×	`associate-/l*_binary64_2751`
89×	`distribute-rgt-neg-out_binary64_2766` `distribute-lft-neg-out_binary64_2765`
66×	`sub-neg_binary64_2799`
64×	`*-rgt-identity_binary64_2796`
63×	`neg-mul-1_binary64_2802` `neg-sub0_binary64_2801`
61×	`*-lft-identity_binary64_2795`
59×	`unsub-neg_binary64_2800`
56×	`distribute-lft-neg-in_binary64_2763`
52×	`associate-+l+_binary64_2739`
48×	`associate-/r*_binary64_2750`
47×	`associate-+r+_binary64_2738`
45×	`associate-/l/_binary64_2753`
38×	`associate--r+_binary64_2742`
32×	`sqr-pow_binary64_2778` `*-commutative_binary64_2737`
30×	`+-commutative_binary64_2736`
20×	`unswap-sqr_binary64_2774`
17×	`associate-/r/_binary64_2752`
13×	`exp-prod_binary64_2858` `pow-sqr_binary64_2779`
9×	`distribute-frac-neg_binary64_2769`
8×	`exp-sum_binary64_2852`
7×	`associate--l+_binary64_2743`
6×	`/-rgt-identity_binary64_2797` `distribute-rgt-out_binary64_2759`
5×	`associate-+l-_binary64_2741`
4×	`cube-prod_binary64_2834` `sub0-neg_binary64_2793`
3×	`exp-diff_binary64_2854`
2×	`cube-unmult_binary64_2843` `cube-div_binary64_2835` `+-rgt-identity_binary64_2791` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `div0_binary64_2787` `swap-sqr_binary64_2773` `associate-+r-_binary64_2740`
1×	`unpow3_binary64_2872` `pow-plus_binary64_2869` `exp-neg_binary64_2853` `1-exp_binary64_2850` `sqr-abs_binary64_2821` `--rgt-identity_binary64_2792` `distribute-rgt-out--_binary64_2760`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `log-pow_binary64_2895` `log-rec_binary64_2894` `log-div_binary64_2893` `log-prod_binary64_2892` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `unpow2_binary64_2871` `unpow1/2_binary64_2870` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow1_binary64_2864` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `div-exp_binary64_2857` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-mult_binary64_2836` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-neg_binary64_2820` `rem-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `mul-1-neg_binary64_2798` `remove-double-neg_binary64_2794` `+-lft-identity_binary64_2790` `*-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `remove-double-div_binary64_2782` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `difference-of-squares_binary64_2775` `cancel-sign-sub_binary64_2771` `distribute-neg-out_binary64_2768` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `distribute-lft-out--_binary64_2758` `distribute-lft-out_binary64_2757` `count-2_binary64_2754` `associate--r-_binary64_2745` `associate--l-_binary64_2744`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	93
1	91	79
2	252	79
3	750	79
4	2536	79
5	4602	79
6	5204	79

prune10.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

13.8b

Counts

2 → 2

Compiler

Compiled 166 to 134 computations (19.3% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)))))))))
0.2b	(.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)))))
0.4b	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))
13.7b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite897.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

13.7b

Rules

34×	`add-sqr-sqrt_binary64_2828`
30×	`associate-l_binary64_2747`
22×	`add-exp-log_binary64_2844` `*-un-lft-identity_binary64_2806` `times-frac_binary64_2812`
20×	`add-cube-cbrt_binary64_2841`
14×	`add-cbrt-cube_binary64_2842`
8×	`add-log-exp_binary64_2845` `pow1_binary64_2867` `prod-exp_binary64_2855`
7×	`flip3-+_binary64_2809` `flip-+_binary64_2780`
6×	`unswap-sqr_binary64_2774` `associate-r_binary64_2746`
4×	`div-exp_binary64_2857` `cbrt-unprod_binary64_2839` `frac-times_binary64_2816` `associate-*r/_binary64_2748` `associate-/r/_binary64_2752`
3×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
2×	`associate-+r+_binary64_2738` `pow-prod-down_binary64_2877` `1-exp_binary64_2850` `rec-exp_binary64_2856` `cbrt-undiv_binary64_2840` `associate-l/_binary64_2749` `div-inv_binary64_2803` `-commutative_binary64_2737`
1×	`diff-log_binary64_2898` `flip3--_binary64_2810` `sub-neg_binary64_2799` `flip--_binary64_2781` `cancel-sign-sub-inv_binary64_2772` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

4 → 111

Calls

4 calls:

12.0ms	(.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)))))
12.0ms	(.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)))))))))
5.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
5.0ms	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))

Compiler

Compiled 10792 to 8232 computations (23.7% saved)

series3.7s (9.2%)

Error

13.8b

Counts

4 → 12

Calls

4 calls:

1.5s	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
973.0ms	(.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)))))))))
752.0ms	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))
399.0ms	(.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)))))

Compiler

Compiled 2682 to 2132 computations (20.5% saved)

simplify238.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

445×	`associate-/l*_binary64_2751`
306×	`cancel-sign-sub-inv_binary64_2772`
303×	`distribute-rgt-in_binary64_2756`
291×	`associate-l_binary64_2747`
283×	`distribute-lft-in_binary64_2755`
270×	`associate-r_binary64_2746`
214×	`distribute-rgt-neg-in_binary64_2764`
174×	`*-commutative_binary64_2737`
172×	`distribute-lft-neg-in_binary64_2763`
153×	`associate-*l/_binary64_2749`
128×	`sub-neg_binary64_2799`
127×	`associate-*r/_binary64_2748`
113×	`distribute-neg-in_binary64_2767`
89×	`exp-prod_binary64_2858`
86×	`distribute-neg-frac_binary64_2770`
78×	`associate-/l/_binary64_2753`
68×	`+-commutative_binary64_2736`
65×	`sqr-pow_binary64_2778`
63×	`neg-mul-1_binary64_2802`
62×	`distribute-lft-neg-out_binary64_2765`
60×	`neg-sub0_binary64_2801`
55×	`*-lft-identity_binary64_2795`
45×	`distribute-rgt-neg-out_binary64_2766` `distribute-rgt-out_binary64_2759`
43×	`exp-sum_binary64_2852`
42×	`associate--l+_binary64_2743`
40×	`*-rgt-identity_binary64_2796`
33×	`cube-prod_binary64_2834` `swap-sqr_binary64_2773`
30×	`associate-+l+_binary64_2739`
29×	`associate-/r*_binary64_2750`
27×	`distribute-lft-out_binary64_2757`
24×	`associate--r+_binary64_2742`
23×	`unswap-sqr_binary64_2774`
22×	`div-sub_binary64_2811`
18×	`unsub-neg_binary64_2800` `associate-/r/_binary64_2752` `associate-+r+_binary64_2738`
15×	`distribute-rgt-out--_binary64_2760`
14×	`cube-div_binary64_2835`
12×	`log-prod_binary64_2892` `times-frac_binary64_2812`
11×	`unpow3_binary64_2872`
9×	`cube-mult_binary64_2836`
8×	`associate-+r-_binary64_2740`
7×	`log-div_binary64_2893` `pow-sqr_binary64_2779` `distribute-rgt1-in_binary64_2762` `distribute-lft-out--_binary64_2758` `associate-+l-_binary64_2741`
4×	`prod-exp_binary64_2855` `exp-diff_binary64_2854` `cube-unmult_binary64_2843` `/-rgt-identity_binary64_2797`
3×	`log-rec_binary64_2894` `unpow2_binary64_2871` `+-rgt-identity_binary64_2791`
2×	`unpow1/2_binary64_2870` `unpow1_binary64_2864` `exp-neg_binary64_2853` `sub0-neg_binary64_2793` `distribute-lft1-in_binary64_2761` `count-2_binary64_2754`
1×	`log-pow_binary64_2895` `div-exp_binary64_2857` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `sqr-abs_binary64_2821` `rem-sqrt-square_binary64_2819` `remove-double-neg_binary64_2794` `+-lft-identity_binary64_2790` `distribute-neg-out_binary64_2768`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `pow-plus_binary64_2869` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `rec-exp_binary64_2856` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-neg_binary64_2820` `rem-square-sqrt_binary64_2818` `mul-1-neg_binary64_2798` `--rgt-identity_binary64_2792` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `div0_binary64_2787` `*-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `remove-double-div_binary64_2782` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `difference-of-squares_binary64_2775` `cancel-sign-sub_binary64_2771` `distribute-frac-neg_binary64_2769` `associate--r-_binary64_2745` `associate--l-_binary64_2744`

Counts

123 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	10609
1	859	8802
2	3087	8727
3	4999	8727

prune800.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	106	6	112
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	108	6	114

Error

13.7b

Counts

114 → 6

Compiler

Compiled 9282 to 6820 computations (26.5% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))))))))
0.2b	(.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))))
0.4b	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))))))
13.7b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite1.6s (4.1%)

Algorithm

1×	rewrite-expression-head

Error

13.7b

Rules

93×	`add-sqr-sqrt_binary64_2828`
75×	`times-frac_binary64_2812`
59×	`*-un-lft-identity_binary64_2806`
40×	`add-cube-cbrt_binary64_2841`
39×	`associate-l_binary64_2747`
35×	`add-exp-log_binary64_2844`
33×	`associate-r_binary64_2746`
32×	`sqrt-prod_binary64_2822`
21×	`add-cbrt-cube_binary64_2842`
18×	`unswap-sqr_binary64_2774`
12×	`prod-exp_binary64_2855`
10×	`div-exp_binary64_2857`
8×	`add-log-exp_binary64_2845` `pow1_binary64_2867`
6×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `cbrt-unprod_binary64_2839` `associate-/r/_binary64_2752` `distribute-lft-out_binary64_2757`
5×	`cbrt-undiv_binary64_2840`
4×	`sqrt-div_binary64_2823`
3×	`1-exp_binary64_2850` `rec-exp_binary64_2856` `frac-times_binary64_2816` `associate-*r/_binary64_2748` `div-inv_binary64_2803`
2×	`distribute-rgt-in_binary64_2756` `associate-+r+_binary64_2738` `distribute-lft-in_binary64_2755` `pow-prod-down_binary64_2877` `associate-l/_binary64_2749` `-commutative_binary64_2737`
1×	`diff-log_binary64_2898` `flip3--_binary64_2810` `sub-neg_binary64_2799` `flip--_binary64_2781` `cancel-sign-sub-inv_binary64_2772` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

4 → 161

Calls

4 calls:

44.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))))
12.0ms	(.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))))))))
4.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
4.0ms	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))))))

Compiler

Compiled 16383 to 12299 computations (24.9% saved)

series3.6s (9.1%)

Error

13.7b

Counts

4 → 12

Calls

4 calls:

1.5s	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
964.0ms	(.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))))))))
738.0ms	(+.f64 2295300911148351/9007199254740992 (.f64 (/.f64 1 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))))))
412.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))))

Compiler

Compiled 2682 to 2132 computations (20.5% saved)

simplify395.0ms (1%)

Algorithm

1×	egg-herbie

Rules

343×	`associate-r_binary64_2746`
321×	`associate-l_binary64_2747`
296×	`cancel-sign-sub-inv_binary64_2772`
255×	`distribute-rgt-in_binary64_2756`
244×	`neg-mul-1_binary64_2802`
243×	`distribute-lft-in_binary64_2755`
209×	`distribute-rgt-neg-in_binary64_2764`
198×	`associate-*l/_binary64_2749`
197×	`*-commutative_binary64_2737`
187×	`exp-prod_binary64_2858` `associate-*r/_binary64_2748`
169×	`distribute-lft-neg-in_binary64_2763`
144×	`associate-/l*_binary64_2751`
124×	`sub-neg_binary64_2799`
90×	`distribute-neg-frac_binary64_2770`
82×	`distribute-neg-in_binary64_2767`
74×	`*-lft-identity_binary64_2795`
71×	`associate-/r*_binary64_2750`
69×	`sqr-pow_binary64_2778`
65×	`cube-prod_binary64_2834` `+-commutative_binary64_2736`
54×	`neg-sub0_binary64_2801`
53×	`times-frac_binary64_2812` `div-sub_binary64_2811`
47×	`*-rgt-identity_binary64_2796`
44×	`exp-sum_binary64_2852` `associate-/l/_binary64_2753`
42×	`associate--l+_binary64_2743`
39×	`swap-sqr_binary64_2773`
38×	`unswap-sqr_binary64_2774`
33×	`log-prod_binary64_2892` `distribute-lft-neg-out_binary64_2765`
32×	`cube-div_binary64_2835`
30×	`associate-+l+_binary64_2739`
27×	`log-div_binary64_2893`
25×	`associate--r+_binary64_2742`
21×	`unpow3_binary64_2872` `associate-+r+_binary64_2738`
18×	`cube-mult_binary64_2836`
17×	`unsub-neg_binary64_2800` `distribute-rgt-neg-out_binary64_2766`
15×	`/-rgt-identity_binary64_2797` `associate-+r-_binary64_2740`
12×	`exp-diff_binary64_2854`
11×	`associate-+l-_binary64_2741`
8×	`log-rec_binary64_2894` `cube-unmult_binary64_2843` `pow-sqr_binary64_2779`
6×	`unpow1/2_binary64_2870` `pow-plus_binary64_2869`
5×	`prod-exp_binary64_2855` `rem-sqrt-square_binary64_2819` `distribute-rgt-out--_binary64_2760` `associate-/r/_binary64_2752`
4×	`exp-neg_binary64_2853` `+-rgt-identity_binary64_2791`
3×	`unpow2_binary64_2871` `sub0-neg_binary64_2793` `distribute-rgt-out_binary64_2759`
2×	`log-pow_binary64_2895` `unpow1_binary64_2864` `rem-square-sqrt_binary64_2818` `distribute-rgt1-in_binary64_2762` `distribute-lft-out--_binary64_2758` `distribute-lft-out_binary64_2757`
1×	`div-exp_binary64_2857` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `sqr-abs_binary64_2821` `+-lft-identity_binary64_2790` `remove-double-div_binary64_2782` `distribute-neg-out_binary64_2768` `associate--r-_binary64_2745`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `rec-exp_binary64_2856` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-neg_binary64_2820` `mul-1-neg_binary64_2798` `remove-double-neg_binary64_2794` `--rgt-identity_binary64_2792` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `div0_binary64_2787` `*-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `difference-of-squares_binary64_2775` `cancel-sign-sub_binary64_2771` `distribute-frac-neg_binary64_2769` `distribute-lft1-in_binary64_2761` `count-2_binary64_2754` `associate--l-_binary64_2744`

Counts

173 → 162

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	15921
1	951	12379
2	3527	12373
3	4565	12373
4	4944	12373

prune1.1s (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	162	6	168

Error

13.7b

Counts

168 → 6

Compiler

Compiled 13952 to 10272 computations (26.4% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sqrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))))
0.4b	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
0.4b	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
13.7b	(-.f64 1 (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite2.3s (5.8%)

Algorithm

1×	rewrite-expression-head

Error

13.7b

Rules

98×	`sqrt-prod_binary64_2822`
90×	`*-un-lft-identity_binary64_2806`
78×	`add-sqr-sqrt_binary64_2828`
68×	`times-frac_binary64_2812`
44×	`add-cube-cbrt_binary64_2841`
29×	`swap-sqr_binary64_2773`
21×	`associate-l_binary64_2747` `associate-r_binary64_2746`
20×	`distribute-lft-out_binary64_2757`
19×	`pow1_binary64_2867`
10×	`add-log-exp_binary64_2845`
9×	`unswap-sqr_binary64_2774`
8×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `associate-/r/_binary64_2752`
6×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `flip3-+_binary64_2809` `flip-+_binary64_2780`
5×	`pow-prod-up_binary64_2876`
4×	`rem-sqrt-square_binary64_2819` `sqrt-div_binary64_2823` `div-inv_binary64_2803`
3×	`pow-prod-down_binary64_2877` `pow-sqr_binary64_2779`
2×	`sum-log_binary64_2897` `+-commutative_binary64_2736` `sqr-abs_binary64_2821`
1×	`diff-log_binary64_2898` `flip3--_binary64_2810` `sub-neg_binary64_2799` `flip--_binary64_2781` `cancel-sign-sub-inv_binary64_2772` `pow2_binary64_2887` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `sqrt-unprod_binary64_2826` `rem-square-sqrt_binary64_2818` `frac-times_binary64_2816` `associate-l/_binary64_2749` `associate-r/_binary64_2748` `*-commutative_binary64_2737`

Counts

4 → 146

Calls

4 calls:

95.0ms	(.f64 (sqrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))))
40.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
36.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
3.0ms	(-.f64 1 (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

Compiler

Compiled 21325 to 16020 computations (24.9% saved)

series4.1s (10.3%)

Error

13.7b

Counts

4 → 12

Calls

4 calls:

1.5s	(-.f64 1 (.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
993.0ms	(.f64 (sqrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (sqrt.f64 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))))
777.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
750.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))

Compiler

Compiled 3567 to 2831 computations (20.6% saved)

simplify557.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

352×	`associate-*l/_binary64_2749`
316×	`times-frac_binary64_2812`
297×	`associate-/r*_binary64_2750`
241×	`associate-/l*_binary64_2751`
191×	`cancel-sign-sub-inv_binary64_2772`
172×	`associate-l_binary64_2747`
160×	`distribute-rgt-in_binary64_2756`
158×	`exp-prod_binary64_2858`
157×	`associate-r_binary64_2746`
139×	`distribute-rgt-neg-in_binary64_2764`
137×	`distribute-lft-in_binary64_2755`
115×	`distribute-lft-neg-in_binary64_2763`
99×	`log-prod_binary64_2892` `associate-/l/_binary64_2753`
79×	`unswap-sqr_binary64_2774`
77×	`*-commutative_binary64_2737`
76×	`log-div_binary64_2893` `sub-neg_binary64_2799`
67×	`distribute-neg-frac_binary64_2770`
57×	`sqr-pow_binary64_2778`
49×	`+-commutative_binary64_2736`
47×	`associate-/r/_binary64_2752` `associate-*r/_binary64_2748`
42×	`neg-mul-1_binary64_2802`
41×	`neg-sub0_binary64_2801`
38×	`*-lft-identity_binary64_2795`
36×	`*-rgt-identity_binary64_2796`
35×	`cube-prod_binary64_2834`
33×	`rem-sqrt-square_binary64_2819`
31×	`distribute-rgt-out_binary64_2759`
28×	`unpow3_binary64_2872`
26×	`rem-square-sqrt_binary64_2818`
24×	`distribute-neg-in_binary64_2767`
22×	`swap-sqr_binary64_2773` `associate--l+_binary64_2743`
20×	`distribute-lft-neg-out_binary64_2765`
15×	`distribute-lft-out_binary64_2757`
14×	`associate--r+_binary64_2742` `associate-+l+_binary64_2739`
12×	`log-pow_binary64_2895` `pow-plus_binary64_2869` `cube-div_binary64_2835`
11×	`div-sub_binary64_2811` `distribute-rgt1-in_binary64_2762`
10×	`cube-unmult_binary64_2843` `unsub-neg_binary64_2800` `associate-+r+_binary64_2738`
9×	`cube-mult_binary64_2836` `pow-sqr_binary64_2779`
6×	`log-rec_binary64_2894` `distribute-rgt-neg-out_binary64_2766`
5×	`distribute-rgt-out--_binary64_2760`
4×	`unpow1/2_binary64_2870` `prod-exp_binary64_2855` `exp-sum_binary64_2852` `count-2_binary64_2754`
3×	`unpow2_binary64_2871` `/-rgt-identity_binary64_2797` `distribute-lft-out--_binary64_2758`
2×	`unpow1_binary64_2864` `exp-diff_binary64_2854` `exp-neg_binary64_2853` `distribute-lft1-in_binary64_2761` `associate-+l-_binary64_2741` `associate-+r-_binary64_2740`
1×	`div-exp_binary64_2857` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `sqr-abs_binary64_2821` `distribute-neg-out_binary64_2768`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `rec-exp_binary64_2856` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-neg_binary64_2833` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-neg_binary64_2820` `mul-1-neg_binary64_2798` `remove-double-neg_binary64_2794` `sub0-neg_binary64_2793` `--rgt-identity_binary64_2792` `+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `div0_binary64_2787` `*-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `remove-double-div_binary64_2782` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `difference-of-squares_binary64_2775` `cancel-sign-sub_binary64_2771` `distribute-frac-neg_binary64_2769` `associate--r-_binary64_2745` `associate--l-_binary64_2744`

Counts

158 → 123

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	277	17500
1	535	16056
2	1752	15521
3	4739	15447
4	4946	15447
5	4945	15447

prune877.0ms (2.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	123	6	129

Error

13.7b

Counts

129 → 6

Compiler

Compiled 12575 to 9281 computations (26.2% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
0.4b	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
0.5b	(.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))))
10.5b	(-.f64 1 (.f64 (/.f64 (.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))) (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)) (exp.f64 (.f64 (*.f64 x x) -2))))

rewrite1.4s (3.5%)

Algorithm

1×	rewrite-expression-head

Error

10.5b

Rules

26×	`*-un-lft-identity_binary64_2806`
11×	`pow1_binary64_2867`
10×	`add-log-exp_binary64_2845` `add-sqr-sqrt_binary64_2828`
8×	`add-cube-cbrt_binary64_2841` `flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-lft-out_binary64_2757`
6×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `swap-sqr_binary64_2773`
4×	`frac-times_binary64_2816` `associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`associate-l/_binary64_2749` `associate-r/_binary64_2748` `sum-log_binary64_2897` `+-commutative_binary64_2736`
1×	`diff-log_binary64_2898` `flip3--_binary64_2810` `sub-neg_binary64_2799` `flip--_binary64_2781` `cancel-sign-sub-inv_binary64_2772` `pow2_binary64_2887` `pow-prod-down_binary64_2877` `pow-prod-up_binary64_2876` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `pow-sqr_binary64_2779` `unswap-sqr_binary64_2774` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `*-commutative_binary64_2737`

Counts

4 → 76

Calls

4 calls:

73.0ms	(.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))))
41.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
35.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
5.0ms	(-.f64 1 (.f64 (/.f64 (.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))) (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)) (exp.f64 (.f64 (*.f64 x x) -2))))

Compiler

Compiled 15023 to 11549 computations (23.1% saved)

series7.0s (17.5%)

Error

13.7b

Counts

4 → 15

Calls

4 calls:

4.1s	(-.f64 1 (.f64 (/.f64 (.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))) (pow.f64 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)) 2)) (exp.f64 (.f64 (*.f64 x x) -2))))
1.1s	(.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (*.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))))
777.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))
769.0ms	(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496)))) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))) -5125037576950889/18014398509481984) (+.f64 1 (.f64 (fabs.f64 x) 1475339155889891/4503599627370496))))

Compiler

Compiled 8942 to 7173 computations (19.8% saved)

simplify360.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

464×	`associate-+r+_binary64_2738`
294×	`+-commutative_binary64_2736`
261×	`associate-+l+_binary64_2739`
184×	`cancel-sign-sub-inv_binary64_2772`
163×	`sub-neg_binary64_2799`
161×	`associate-/r*_binary64_2750`
146×	`*-commutative_binary64_2737`
119×	`associate-r_binary64_2746`
106×	`associate-*r/_binary64_2748`
100×	`times-frac_binary64_2812` `distribute-rgt-in_binary64_2756`
98×	`associate-l_binary64_2747`
97×	`distribute-lft-in_binary64_2755`
85×	`unswap-sqr_binary64_2774` `associate-*l/_binary64_2749`
77×	`associate-/l*_binary64_2751`
71×	`sqr-pow_binary64_2778`
59×	`associate--l+_binary64_2743`
58×	`neg-mul-1_binary64_2802` `neg-sub0_binary64_2801`
55×	`exp-prod_binary64_2858`
51×	`associate--r+_binary64_2742`
33×	`cube-prod_binary64_2834`
31×	`unpow3_binary64_2872`
30×	`unsub-neg_binary64_2800`
29×	`log-prod_binary64_2892`
20×	`swap-sqr_binary64_2773`
18×	`cube-div_binary64_2835` `*-lft-identity_binary64_2795` `distribute-neg-in_binary64_2767`
16×	`*-rgt-identity_binary64_2796`
15×	`exp-sum_binary64_2852` `distribute-rgt-neg-in_binary64_2764`
12×	`distribute-lft-neg-in_binary64_2763`
10×	`cube-mult_binary64_2836` `pow-sqr_binary64_2779`
8×	`pow-plus_binary64_2869` `cube-unmult_binary64_2843`
7×	`distribute-neg-frac_binary64_2770`
6×	`unpow2_binary64_2871`
5×	`associate-/l/_binary64_2753`
4×	`log-pow_binary64_2895` `prod-exp_binary64_2855`
3×	`unpow1/2_binary64_2870` `unpow1_binary64_2864` `distribute-lft-neg-out_binary64_2765` `distribute-rgt-out_binary64_2759`
2×	`rem-sqrt-square_binary64_2819` `div-sub_binary64_2811` `/-rgt-identity_binary64_2797` `distribute-rgt1-in_binary64_2762` `distribute-lft-out_binary64_2757`
1×	`unpow-1_binary64_2863` `div-exp_binary64_2857` `exp-diff_binary64_2854` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `rem-square-sqrt_binary64_2818` `distribute-rgt-out--_binary64_2760` `count-2_binary64_2754` `associate-/r/_binary64_2752` `associate-+l-_binary64_2741` `associate-+r-_binary64_2740`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3069` `erf-erfc_binary64_3068` `erf-odd_binary64_3067` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `not-gte_binary64_3058` `not-lte_binary64_3057` `not-gt_binary64_3056` `not-lt_binary64_3055` `gte-same_binary64_3054` `lte-same_binary64_3053` `gt-same_binary64_3052` `lt-same_binary64_3051` `sinh---cosh_binary64_2998` `sinh-+-cosh_binary64_2997` `sinh-cosh_binary64_2996` `tanh-def-c_binary64_2995` `tanh-def-b_binary64_2994` `tanh-def-a_binary64_2993` `cosh-def_binary64_2992` `sinh-def_binary64_2991` `tan-neg_binary64_2938` `cos-neg_binary64_2937` `sin-neg_binary64_2936` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `hang-m-tan_binary64_2932` `hang-p-tan_binary64_2931` `hang-m0-tan_binary64_2930` `hang-p0-tan_binary64_2929` `hang-0m-tan_binary64_2928` `hang-0p-tan_binary64_2927` `tan-+PI/2_binary64_2926` `tan-+PI_binary64_2925` `tan-PI_binary64_2924` `tan-PI/3_binary64_2923` `tan-PI/4_binary64_2922` `tan-PI/6_binary64_2921` `cos-+PI/2_binary64_2920` `cos-+PI_binary64_2919` `cos-PI_binary64_2918` `cos-PI/2_binary64_2917` `cos-PI/3_binary64_2916` `cos-PI/4_binary64_2915` `cos-PI/6_binary64_2914` `sin-+PI/2_binary64_2913` `sin-+PI_binary64_2912` `sin-PI_binary64_2911` `sin-PI/2_binary64_2910` `sin-PI/3_binary64_2909` `sin-PI/4_binary64_2908` `sin-PI/6_binary64_2907` `sub-1-sin_binary64_2906` `sub-1-cos_binary64_2905` `-1-add-sin_binary64_2904` `-1-add-cos_binary64_2903` `1-sub-sin_binary64_2902` `1-sub-cos_binary64_2901` `cos-sin-sum_binary64_2900` `log-E_binary64_2896` `log-rec_binary64_2894` `log-div_binary64_2893` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `rec-exp_binary64_2856` `exp-neg_binary64_2853` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-neg_binary64_2833` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `mul-1-neg_binary64_2798` `remove-double-neg_binary64_2794` `sub0-neg_binary64_2793` `--rgt-identity_binary64_2792` `+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `div0_binary64_2787` `*-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `remove-double-div_binary64_2782` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `difference-of-squares_binary64_2775` `cancel-sign-sub_binary64_2771` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-rgt-neg-out_binary64_2766` `distribute-lft1-in_binary64_2761` `distribute-lft-out--_binary64_2758` `associate--r-_binary64_2745` `associate--l-_binary64_2744`

Counts

91 → 79

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	389	14149
1	1054	12510
2	4146	10600
3	4974	10600
4	4906	10600

prune1.1s (2.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	79	6	85

Error

10.5b

Counts

85 → 6

Compiler

Compiled 13755 to 10508 computations (23.6% saved)

regimes2.5s (6.2%)

Accuracy

Total 0.1b remaining (0.8%)

Threshold costs 0.1b (0.8%)

Compiler

Compiled 42510 to 33768 computations (20.6% saved)

bsearch0.0ms (0%)

simplify18.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64_2736`
9×	`*-commutative_binary64_2737`
5×	`sub-neg_binary64_2799`
4×	`neg-mul-1_binary64_2802` `neg-sub0_binary64_2801`
2×	`cancel-sign-sub-inv_binary64_2772` `distribute-rgt-neg-in_binary64_2764`
1×	`1-exp_binary64_2850` `distribute-neg-frac_binary64_2770` `distribute-lft-neg-out_binary64_2765` `distribute-lft-neg-in_binary64_2763`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_3066` `if-if-and_binary64_3065` `if-if-or-not_binary64_3064` `if-if-or_binary64_3063` `if-not_binary64_3062` `if-same_binary64_3061` `if-false_binary64_3060` `if-true_binary64_3059` `tan-0_binary64_2935` `cos-0_binary64_2934` `sin-0_binary64_2933` `unpow1_binary64_2864` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `unsub-neg_binary64_2800` `mul-1-neg_binary64_2798` `/-rgt-identity_binary64_2797` `-rgt-identity_binary64_2796` `-lft-identity_binary64_2795` `remove-double-neg_binary64_2794` `sub0-neg_binary64_2793` `--rgt-identity_binary64_2792` `+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790` `cancel-sign-sub_binary64_2771` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-neg-in_binary64_2767` `distribute-rgt-neg-out_binary64_2766`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	463
1	56	463
2	67	463
3	75	463
4	81	463
5	83	463
6	82	463

end0.0ms (0%)

sample6.9s (17.2%)

Algorithm

1×

intervals

Results

933.0ms

8000×

body

128

valid

Compiler

Compiled 9331 to 7405 computations (20.6% saved)

Details

analyze201.0ms (0.5%)

sample45.0ms (0.1%)

simplify64.0ms (0.2%)

prune10.0ms (0%)

localize27.0ms (0.1%)

rewrite897.0ms (2.2%)

series3.7s (9.2%)

simplify238.0ms (0.6%)

prune800.0ms (2%)

localize32.0ms (0.1%)

rewrite1.6s (4.1%)

series3.6s (9.1%)

simplify395.0ms (1%)

prune1.1s (2.8%)

localize26.0ms (0.1%)

rewrite2.3s (5.8%)

series4.1s (10.3%)

simplify557.0ms (1.4%)

prune877.0ms (2.2%)

localize39.0ms (0.1%)

rewrite1.4s (3.5%)

series7.0s (17.5%)

simplify360.0ms (0.9%)

prune1.1s (2.6%)

regimes2.5s (6.2%)

bsearch0.0ms (0%)

simplify18.0ms (0%)

end0.0ms (0%)

sample6.9s (17.2%)

Profiling