Details

analyze241.0ms (8%)

Algorithm

1×	search
2×	egg-herbie

Rules

640×	`associate-/l*_binary64_2751`
583×	`associate-/r*_binary64_2750`
496×	`distribute-neg-frac_binary64_2770`
486×	`neg-mul-1_binary64_2802`
423×	`neg-sub0_binary64_2801`
348×	`distribute-frac-neg_binary64_2769`
323×	`sub-neg_binary64_2799`
298×	`distribute-rgt-in_binary64_2756`
239×	`div-sub_binary64_2811`
216×	`cancel-sign-sub-inv_binary64_2772`
214×	`distribute-lft-in_binary64_2755`
213×	`unsub-neg_binary64_2800`
172×	`associate-/r/_binary64_2752`
169×	`distribute-rgt-neg-in_binary64_2764`
146×	`distribute-neg-in_binary64_2767`
139×	`distribute-lft-neg-in_binary64_2763`
128×	`distribute-lft-neg-out_binary64_2765`
120×	`cancel-sign-sub_binary64_2771` `distribute-rgt-neg-out_binary64_2766`
104×	`*-commutative_binary64_2737`
98×	`+-commutative_binary64_2736`
96×	`associate--r+_binary64_2742`
93×	`associate-l_binary64_2747`
92×	`distribute-rgt-out--_binary64_2760`
80×	`distribute-rgt-out_binary64_2759`
73×	`associate-+l-_binary64_2741`
70×	`distribute-neg-out_binary64_2768`
61×	`associate--r-_binary64_2745`
50×	`associate--l-_binary64_2744`
49×	`associate-r_binary64_2746`
45×	`associate-/l/_binary64_2753`
39×	`associate-+r-_binary64_2740`
36×	`associate-*l/_binary64_2749`
30×	`associate-*r/_binary64_2748`
29×	`associate-+l+_binary64_2739`
27×	`remove-double-neg_binary64_2794`
26×	`associate--l+_binary64_2743`
25×	`*-rgt-identity_binary64_2796`
23×	`associate-+r+_binary64_2738`
22×	`*-lft-identity_binary64_2795`
19×	`sub0-neg_binary64_2793` `mul0-lft_binary64_2788`
17×	`/-rgt-identity_binary64_2797` `mul0-rgt_binary64_2789`
15×	`+-lft-identity_binary64_2790`
14×	`--rgt-identity_binary64_2792` `distribute-rgt1-in_binary64_2762`
11×	`distribute-lft-out--_binary64_2758`
8×	`div0_binary64_2787`
6×	`remove-double-div_binary64_2782` `distribute-lft-out_binary64_2757`
5×	`+-rgt-identity_binary64_2791`
3×	`sqr-neg_binary64_2820`
2×	`*-inverses_binary64_2786` `swap-sqr_binary64_2773`
1×	`1-exp_binary64_2850` `distribute-lft1-in_binary64_2761`
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` `unpow3_binary64_2872` `unpow2_binary64_2871` `unpow1/2_binary64_2870` `pow-plus_binary64_2869` `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` `exp-prod_binary64_2858` `div-exp_binary64_2857` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `exp-diff_binary64_2854` `exp-neg_binary64_2853` `exp-sum_binary64_2852` `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-unmult_binary64_2843` `cube-mult_binary64_2836` `cube-div_binary64_2835` `cube-prod_binary64_2834` `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-abs_binary64_2821` `rem-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `times-frac_binary64_2812` `mul-1-neg_binary64_2798` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `pow-sqr_binary64_2779` `sqr-pow_binary64_2778` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `difference-of-squares_binary64_2775` `unswap-sqr_binary64_2774` `count-2_binary64_2754`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	34	28
2	51	28
3	73	28
4	99	28
5	133	28
6	193	28
7	341	28
8	623	28
9	1044	28
10	1622	28
11	1784	28
12	3307	28
13	4251	28
14	4988	28
15	4600	28
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 20 to 17 computations (15% saved)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 39 to 34 computations (12.8% saved)

simplify105.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

640×	`associate-/l*_binary64_2751`
583×	`associate-/r*_binary64_2750`
496×	`distribute-neg-frac_binary64_2770`
486×	`neg-mul-1_binary64_2802`
423×	`neg-sub0_binary64_2801`
348×	`distribute-frac-neg_binary64_2769`
323×	`sub-neg_binary64_2799`
298×	`distribute-rgt-in_binary64_2756`
239×	`div-sub_binary64_2811`
216×	`cancel-sign-sub-inv_binary64_2772`
214×	`distribute-lft-in_binary64_2755`
213×	`unsub-neg_binary64_2800`
172×	`associate-/r/_binary64_2752`
169×	`distribute-rgt-neg-in_binary64_2764`
146×	`distribute-neg-in_binary64_2767`
139×	`distribute-lft-neg-in_binary64_2763`
128×	`distribute-lft-neg-out_binary64_2765`
120×	`cancel-sign-sub_binary64_2771` `distribute-rgt-neg-out_binary64_2766`
104×	`*-commutative_binary64_2737`
98×	`+-commutative_binary64_2736`
96×	`associate--r+_binary64_2742`
93×	`associate-l_binary64_2747`
92×	`distribute-rgt-out--_binary64_2760`
80×	`distribute-rgt-out_binary64_2759`
73×	`associate-+l-_binary64_2741`
70×	`distribute-neg-out_binary64_2768`
61×	`associate--r-_binary64_2745`
50×	`associate--l-_binary64_2744`
49×	`associate-r_binary64_2746`
45×	`associate-/l/_binary64_2753`
39×	`associate-+r-_binary64_2740`
36×	`associate-*l/_binary64_2749`
30×	`associate-*r/_binary64_2748`
29×	`associate-+l+_binary64_2739`
27×	`remove-double-neg_binary64_2794`
26×	`associate--l+_binary64_2743`
25×	`*-rgt-identity_binary64_2796`
23×	`associate-+r+_binary64_2738`
22×	`*-lft-identity_binary64_2795`
19×	`sub0-neg_binary64_2793` `mul0-lft_binary64_2788`
17×	`/-rgt-identity_binary64_2797` `mul0-rgt_binary64_2789`
15×	`+-lft-identity_binary64_2790`
14×	`--rgt-identity_binary64_2792` `distribute-rgt1-in_binary64_2762`
11×	`distribute-lft-out--_binary64_2758`
8×	`div0_binary64_2787`
6×	`remove-double-div_binary64_2782` `distribute-lft-out_binary64_2757`
5×	`+-rgt-identity_binary64_2791`
3×	`sqr-neg_binary64_2820`
2×	`*-inverses_binary64_2786` `swap-sqr_binary64_2773`
1×	`1-exp_binary64_2850` `distribute-lft1-in_binary64_2761`
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` `unpow3_binary64_2872` `unpow2_binary64_2871` `unpow1/2_binary64_2870` `pow-plus_binary64_2869` `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` `exp-prod_binary64_2858` `div-exp_binary64_2857` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `exp-diff_binary64_2854` `exp-neg_binary64_2853` `exp-sum_binary64_2852` `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-unmult_binary64_2843` `cube-mult_binary64_2836` `cube-div_binary64_2835` `cube-prod_binary64_2834` `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-abs_binary64_2821` `rem-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `times-frac_binary64_2812` `mul-1-neg_binary64_2798` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `pow-sqr_binary64_2779` `sqr-pow_binary64_2778` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `difference-of-squares_binary64_2775` `unswap-sqr_binary64_2774` `count-2_binary64_2754`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	34	28
2	51	28
3	73	28
4	99	28
5	133	28
6	193	28
7	341	28
8	623	28
9	1044	28
10	1622	28
11	1784	28
12	3307	28
13	4251	28
14	4988	28
15	4600	28

prune5.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 19 to 16 computations (15.8% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
0.0b	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
16.2b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

rewrite246.0ms (8.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`add-sqr-sqrt_binary64_2828`
23×	`*-un-lft-identity_binary64_2806`
19×	`add-cube-cbrt_binary64_2841`
11×	`times-frac_binary64_2812`
10×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
9×	`associate-r_binary64_2746` `cancel-sign-sub-inv_binary64_2772`
8×	`pow1_binary64_2867`
6×	`add-log-exp_binary64_2845` `associate-l_binary64_2747`
5×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
4×	`associate-*r/_binary64_2748` `difference-of-squares_binary64_2775`
3×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-/l_binary64_2751` `associate-/r_binary64_2750` `sub-neg_binary64_2799`
2×	`associate-/l/_binary64_2753` `associate-/r/_binary64_2752` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737` `flip3--_binary64_2810` `flip--_binary64_2781` `distribute-lft-out--_binary64_2758`
1×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `div-inv_binary64_2803` `diff-log_binary64_2898`

Counts

4 → 101

Calls

4 calls:

15.0ms	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))
12.0ms	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
7.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))

Compiler

Compiled 3271 to 2593 computations (20.7% saved)

series224.0ms (7.5%)

Error

Counts

4 → 28

Calls

4 calls:

72.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
48.0ms	(.f64 6369080665019903/9007199254740992 (-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936))))) x))
44.0ms	(-.f64 (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))) x)
33.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))

Compiler

Compiled 773 to 663 computations (14.2% saved)

simplify148.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

634×	`distribute-rgt-in_binary64_2756`
601×	`distribute-lft-in_binary64_2755`
355×	`times-frac_binary64_2812`
175×	`cancel-sign-sub-inv_binary64_2772`
151×	`associate-l_binary64_2747`
133×	`associate-r_binary64_2746`
128×	`associate-+l+_binary64_2739`
111×	`*-commutative_binary64_2737`
103×	`distribute-rgt-neg-in_binary64_2764`
82×	`exp-prod_binary64_2858`
81×	`associate-/l*_binary64_2751`
73×	`sub-neg_binary64_2799` `distribute-lft-neg-in_binary64_2763`
58×	`associate-/r*_binary64_2750`
57×	`associate-*l/_binary64_2749`
55×	`associate-*r/_binary64_2748`
49×	`+-commutative_binary64_2736`
46×	`associate--r+_binary64_2742`
44×	`associate-+l-_binary64_2741`
37×	`neg-sub0_binary64_2801` `associate--l+_binary64_2743`
36×	`neg-mul-1_binary64_2802` `distribute-lft-neg-out_binary64_2765` `associate-/l/_binary64_2753`
34×	`distribute-neg-in_binary64_2767`
31×	`sqr-pow_binary64_2778`
29×	`unswap-sqr_binary64_2774`
28×	`distribute-rgt-neg-out_binary64_2766` `associate-+r-_binary64_2740`
26×	`distribute-rgt-out_binary64_2759`
23×	`exp-sum_binary64_2852` `cube-prod_binary64_2834`
21×	`log-prod_binary64_2892` `unsub-neg_binary64_2800`
20×	`*-rgt-identity_binary64_2796`
19×	`*-lft-identity_binary64_2795`
16×	`associate-/r/_binary64_2752`
14×	`swap-sqr_binary64_2773`
13×	`exp-diff_binary64_2854`
11×	`distribute-rgt-out--_binary64_2760` `distribute-lft-out_binary64_2757`
9×	`unpow3_binary64_2872` `exp-neg_binary64_2853`
7×	`distribute-lft-out--_binary64_2758`
5×	`cube-unmult_binary64_2843`
4×	`cube-mult_binary64_2836` `cube-div_binary64_2835` `div-sub_binary64_2811` `/-rgt-identity_binary64_2797` `+-rgt-identity_binary64_2791` `associate-+r+_binary64_2738`
3×	`log-pow_binary64_2895` `log-div_binary64_2893` `difference-of-squares_binary64_2775`
2×	`unpow1/2_binary64_2870` `pow-plus_binary64_2869` `pow-sqr_binary64_2779` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761`
1×	`unpow2_binary64_2871` `unpow1_binary64_2864` `div-exp_binary64_2857` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-3cbrt-lft_binary64_2831` `sqr-neg_binary64_2820` `rem-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `distribute-neg-frac_binary64_2770` `associate--l-_binary64_2744`
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` `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` `prod-exp_binary64_2855` `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-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `mul-1-neg_binary64_2798` `remove-double-neg_binary64_2794` `sub0-neg_binary64_2793` `--rgt-identity_binary64_2792` `+-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` `cancel-sign-sub_binary64_2771` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `count-2_binary64_2754` `associate--r-_binary64_2745`

Counts

129 → 104

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	3264
1	579	3101
2	1651	3059
3	4770	3059
4	5164	3059

prune173.0ms (5.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	2	105

Error

Counts

105 → 2

Compiler

Compiled 2783 to 2216 computations (20.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x)
0.2b	(.f64 x (-.f64 (.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496))
0.2b	(*.f64 (pow.f64 x 3) 587893217913092678624467406457365636833467885051322882613974551606574556079145/463168356949264781694283940034751631413079938662562256157830336031652518559744)
8.8b	(-.f64 (.f64 x (-.f64 (.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)) (*.f64 (pow.f64 x 3) 587893217913092678624467406457365636833467885051322882613974551606574556079145/463168356949264781694283940034751631413079938662562256157830336031652518559744))

rewrite165.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-sqr-sqrt_binary64_2828`
18×	`associate-l_binary64_2747`
16×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
13×	`add-exp-log_binary64_2844` `cancel-sign-sub-inv_binary64_2772`
10×	`add-cbrt-cube_binary64_2842`
9×	`associate-r_binary64_2746`
8×	`pow1_binary64_2867` `distribute-rgt-in_binary64_2756` `associate--l+_binary64_2743` `distribute-lft-in_binary64_2755`
6×	`add-log-exp_binary64_2845` `unswap-sqr_binary64_2774`
5×	`sub-neg_binary64_2799` `prod-exp_binary64_2855`
4×	`unpow-prod-down_binary64_2885` `cube-prod_binary64_2834`
3×	`cbrt-unprod_binary64_2839` `*-commutative_binary64_2737`
2×	`flip3--_binary64_2810` `flip--_binary64_2781` `sqr-pow_binary64_2778` `pow-prod-down_binary64_2877` `associate-*r/_binary64_2748`
1×	`diff-log_binary64_2898` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `unpow3_binary64_2872` `cube-mult_binary64_2836`

Counts

4 → 97

Calls

4 calls:

11.0ms	(-.f64 (.f64 x (-.f64 (.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)) (*.f64 (pow.f64 x 3) 587893217913092678624467406457365636833467885051322882613974551606574556079145/463168356949264781694283940034751631413079938662562256157830336031652518559744))
7.0ms	(.f64 x (-.f64 (.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496))
6.0ms	(*.f64 (pow.f64 x 3) 587893217913092678624467406457365636833467885051322882613974551606574556079145/463168356949264781694283940034751631413079938662562256157830336031652518559744)
4.0ms	(*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x)

Compiler

Compiled 2150 to 1715 computations (20.2% saved)

series217.0ms (7.2%)

Error

Counts

4 → 17

Calls

4 calls:

74.0ms	(.f64 x (-.f64 (.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496))
53.0ms	(-.f64 (.f64 x (-.f64 (.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x) 12187874727506178016857224307619355972369422289/5708990770823839524233143877797980545530986496)) (*.f64 (pow.f64 x 3) 587893217913092678624467406457365636833467885051322882613974551606574556079145/463168356949264781694283940034751631413079938662562256157830336031652518559744))
51.0ms	(*.f64 (pow.f64 x 3) 587893217913092678624467406457365636833467885051322882613974551606574556079145/463168356949264781694283940034751631413079938662562256157830336031652518559744)
23.0ms	(*.f64 69091798784915278825083492018586279182693231274342218172050955/51422017416287688817342786954917203280710495801049370729644032 x)

Compiler

Compiled 634 to 548 computations (13.6% saved)

simplify144.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

801×	`unswap-sqr_binary64_2774`
528×	`*-commutative_binary64_2737`
311×	`exp-prod_binary64_2858`
243×	`associate-l_binary64_2747`
215×	`associate-r_binary64_2746`
192×	`distribute-rgt-in_binary64_2756`
191×	`distribute-lft-in_binary64_2755`
170×	`log-prod_binary64_2892`
168×	`sqr-pow_binary64_2778`
143×	`unsub-neg_binary64_2800`
130×	`cube-prod_binary64_2834`
128×	`distribute-rgt-neg-in_binary64_2764`
113×	`distribute-lft-neg-in_binary64_2763`
112×	`cancel-sign-sub-inv_binary64_2772`
92×	`neg-sub0_binary64_2801`
88×	`neg-mul-1_binary64_2802`
81×	`sub-neg_binary64_2799`
48×	`swap-sqr_binary64_2773`
39×	`distribute-rgt-out_binary64_2759` `associate-+l+_binary64_2739`
38×	`exp-sum_binary64_2852` `*-lft-identity_binary64_2795`
37×	`*-rgt-identity_binary64_2796` `associate-+r+_binary64_2738`
34×	`distribute-lft-out_binary64_2757`
31×	`pow-sqr_binary64_2779`
30×	`unpow3_binary64_2872` `exp-diff_binary64_2854`
27×	`+-commutative_binary64_2736`
25×	`distribute-rgt-neg-out_binary64_2766`
23×	`cube-mult_binary64_2836`
18×	`distribute-lft-neg-out_binary64_2765`
16×	`log-pow_binary64_2895`
15×	`pow-plus_binary64_2869` `times-frac_binary64_2812`
14×	`difference-of-squares_binary64_2775`
13×	`distribute-rgt-out--_binary64_2760`
12×	`associate-+l-_binary64_2741`
11×	`exp-neg_binary64_2853` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `associate-+r-_binary64_2740`
10×	`distribute-lft-out--_binary64_2758`
8×	`cube-unmult_binary64_2843` `sub0-neg_binary64_2793`
6×	`associate-/l*_binary64_2751` `associate--l+_binary64_2743`
5×	`rem-sqrt-square_binary64_2819` `+-rgt-identity_binary64_2791`
4×	`distribute-neg-out_binary64_2768`
3×	`unpow1/2_binary64_2870`
2×	`rem-square-sqrt_binary64_2818` `div-sub_binary64_2811` `distribute-neg-in_binary64_2767` `count-2_binary64_2754` `associate--r+_binary64_2742`
1×	`unpow2_binary64_2871` `unpow1_binary64_2864` `div-exp_binary64_2857` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-3cbrt-lft_binary64_2831` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-neg_binary64_2820` `mul-1-neg_binary64_2798` `--rgt-identity_binary64_2792` `associate-/r*_binary64_2750`
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` `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` `prod-exp_binary64_2855` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-div_binary64_2835` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `sqr-abs_binary64_2821` `/-rgt-identity_binary64_2797` `remove-double-neg_binary64_2794` `+-lft-identity_binary64_2790` `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` `cancel-sign-sub_binary64_2771` `distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `associate-/l/_binary64_2753` `associate-/r/_binary64_2752` `associate-l/_binary64_2749` `associate-*r/_binary64_2748` `associate--r-_binary64_2745` `associate--l-_binary64_2744`

Counts

114 → 93

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	1396
1	344	1336
2	1318	1324
3	3140	1306
4	5391	1306

prune115.0ms (3.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	93	2	95

Error

Counts

95 → 2

Compiler

Compiled 1809 to 1430 computations (21% saved)

regimes179.0ms (6%)

Accuracy

Total 0.0b remaining (89%)

Threshold costs 0.0b (89%)

Compiler

Compiled 1630 to 1399 computations (14.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64_2737`
7×	`+-commutative_binary64_2736`
3×	`neg-mul-1_binary64_2802` `neg-sub0_binary64_2801` `sub-neg_binary64_2799`
2×	`cancel-sign-sub-inv_binary64_2772`
1×	`1-exp_binary64_2850` `unsub-neg_binary64_2800` `distribute-rgt-neg-out_binary64_2766` `distribute-lft-neg-out_binary64_2765` `distribute-rgt-neg-in_binary64_2764` `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` `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-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-neg-in_binary64_2767`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	33
1	35	31
2	43	31
3	49	31
4	52	31
5	53	31
6	52	31

end0.0ms (0%)

sample988.0ms (33%)

Algorithm

1×

intervals

Results

355.0ms

8000×

body

128

valid

Compiler

Compiled 480 to 414 computations (13.8% saved)

Details

analyze241.0ms (8%)

sample19.0ms (0.6%)

simplify105.0ms (3.5%)

prune5.0ms (0.2%)

localize12.0ms (0.4%)

rewrite246.0ms (8.2%)

series224.0ms (7.5%)

simplify148.0ms (4.9%)

prune173.0ms (5.8%)

localize10.0ms (0.3%)

rewrite165.0ms (5.5%)

series217.0ms (7.2%)

simplify144.0ms (4.8%)

prune115.0ms (3.8%)

regimes179.0ms (6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample988.0ms (33%)

Profiling