Details

analyze406.0ms (3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
35.9%	55.4%	8.7%	10
42.9%	47.6%	9.5%	11
51.5%	38.2%	10.3%	12
55%	30%	15%	13
59.5%	25.3%	15.3%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample26.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	236×	body	128	valid
3.0ms	4×	body	256	valid
1.0ms	10×	body	512	valid
1.0ms	24×	body	128	invalid
1.0ms	6×	body	1024	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify546.0ms (4%)

Algorithm

1×	egg-herbie

Rules

886×	`unsub-neg_binary64_2800`
727×	`exp-prod_binary64_2858`
439×	`cube-prod_binary64_2834`
386×	`distribute-neg-out_binary64_2768`
284×	`distribute-rgt-in_binary64_2756`
228×	`*-commutative_binary64_2737`
217×	`distribute-rgt-neg-in_binary64_2764`
209×	`distribute-lft-in_binary64_2755`
208×	`swap-sqr_binary64_2773`
207×	`distribute-rgt-neg-out_binary64_2766`
206×	`sub-neg_binary64_2799`
179×	`distribute-rgt-out_binary64_2759`
174×	`neg-sub0_binary64_2801`
168×	`distribute-lft-neg-out_binary64_2765`
154×	`+-commutative_binary64_2736`
144×	`neg-mul-1_binary64_2802`
143×	`distribute-neg-in_binary64_2767`
136×	`associate--r-_binary64_2745`
130×	`associate-l_binary64_2747`
125×	`associate--l-_binary64_2744` `associate-+l-_binary64_2741`
123×	`distribute-lft-neg-in_binary64_2763`
119×	`associate-r_binary64_2746`
100×	`exp-sum_binary64_2852` `associate-/r*_binary64_2750`
95×	`pow-plus_binary64_2869`
91×	`cancel-sign-sub-inv_binary64_2772`
89×	`distribute-rgt1-in_binary64_2762`
76×	`associate-+r+_binary64_2738`
75×	`associate-*l/_binary64_2749`
70×	`div-sub_binary64_2811`
69×	`associate-+l+_binary64_2739`
65×	`exp-diff_binary64_2854`
57×	`associate-/l*_binary64_2751`
51×	`sub0-neg_binary64_2793`
49×	`remove-double-neg_binary64_2794`
46×	`associate-+r-_binary64_2740`
45×	`associate-*r/_binary64_2748`
36×	`associate-/r/_binary64_2752`
34×	`distribute-lft-out_binary64_2757` `associate--l+_binary64_2743` `associate--r+_binary64_2742`
27×	`associate-/l/_binary64_2753`
26×	`distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769`
20×	`exp-neg_binary64_2853` `+-rgt-identity_binary64_2791`
17×	`cube-div_binary64_2835`
16×	`mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `distribute-lft1-in_binary64_2761`
14×	`sqr-neg_binary64_2820`
13×	`count-2_binary64_2754`
10×	`+-lft-identity_binary64_2790`
9×	`mul-1-neg_binary64_2798`
8×	`distribute-rgt-out--_binary64_2760`
7×	`exp-lft-sqr_binary64_2861`
5×	`cancel-sign-sub_binary64_2771`
3×	`exp-cbrt_binary64_2860` `--rgt-identity_binary64_2792`
2×	`cube-unmult_binary64_2843` `distribute-lft-out--_binary64_2758`
1×	`1-exp_binary64_2850` `exp-1-e_binary64_2849` `div0_binary64_2787` `difference-of-sqr--1_binary64_2777`
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` `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-sqrt_binary64_2859` `div-exp_binary64_2857` `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-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-abs_binary64_2821` `rem-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `times-frac_binary64_2812` `/-rgt-identity_binary64_2797` `-rgt-identity_binary64_2796` `-lft-identity_binary64_2795` `*-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `remove-double-div_binary64_2782` `pow-sqr_binary64_2779` `sqr-pow_binary64_2778` `difference-of-sqr-1_binary64_2776` `difference-of-squares_binary64_2775` `unswap-sqr_binary64_2774`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	22	19
2	54	19
3	162	19
4	427	19
5	1090	19
6	2178	19
7	3837	19

prune6.0ms (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

0.1b

Counts

2 → 2

Compiler

Compiled 39 to 36 computations (7.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 2 3) z)
0.0b	(*.f64 6 (-.f64 (/.f64 2 3) z))
0.0b	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 (/.f64 2 3) z))))
0.1b	(.f64 (-.f64 y x) (.f64 6 (-.f64 (/.f64 2 3) z)))

rewrite226.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
33×	`cancel-sign-sub-inv_binary64_2772`
32×	`add-sqr-sqrt_binary64_2828`
24×	`*-un-lft-identity_binary64_2806`
18×	`add-cube-cbrt_binary64_2841`
16×	`associate-+r+_binary64_2738`
11×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `sub-neg_binary64_2799`
10×	`associate-*r/_binary64_2748`
8×	`add-log-exp_binary64_2845` `flip3--_binary64_2810` `flip--_binary64_2781` `associate-l_binary64_2747`
7×	`associate-r_binary64_2746`
5×	`difference-of-squares_binary64_2775`
4×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `frac-times_binary64_2816`
3×	`distribute-lft-out--_binary64_2758`
2×	`associate-l/_binary64_2749` `-commutative_binary64_2737` `times-frac_binary64_2812`
1×	`sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736` `unswap-sqr_binary64_2774` `diff-log_binary64_2898`

Counts

4 → 119

Calls

4 calls:

18.0ms	(.f64 (-.f64 y x) (.f64 6 (-.f64 (/.f64 2 3) z)))
16.0ms	(*.f64 6 (-.f64 (/.f64 2 3) z))
8.0ms	(-.f64 (/.f64 2 3) z)
8.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 (/.f64 2 3) z))))

Compiler

Compiled 2730 to 1685 computations (38.3% saved)

series849.0ms (6.2%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

419.0ms	(+.f64 x (.f64 (-.f64 y x) (.f64 6 (-.f64 (/.f64 2 3) z))))
305.0ms	(.f64 (-.f64 y x) (.f64 6 (-.f64 (/.f64 2 3) z)))
48.0ms	(*.f64 6 (-.f64 (/.f64 2 3) z))
31.0ms	(-.f64 (/.f64 2 3) z)

Compiler

Compiled 1702 to 1301 computations (23.6% saved)

simplify442.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

476×	`unsub-neg_binary64_2800`
265×	`neg-sub0_binary64_2801`
255×	`neg-mul-1_binary64_2802`
240×	`associate-r_binary64_2746`
231×	`associate-l_binary64_2747`
198×	`+-commutative_binary64_2736`
165×	`exp-prod_binary64_2858`
151×	`cancel-sign-sub-inv_binary64_2772`
142×	`times-frac_binary64_2812`
136×	`*-commutative_binary64_2737`
128×	`associate-*l/_binary64_2749`
124×	`distribute-lft-neg-out_binary64_2765` `distribute-rgt-in_binary64_2756`
116×	`distribute-lft-in_binary64_2755`
113×	`associate-*r/_binary64_2748`
108×	`distribute-rgt-neg-out_binary64_2766`
100×	`distribute-rgt-neg-in_binary64_2764`
95×	`associate-+l+_binary64_2739`
87×	`sub-neg_binary64_2799`
85×	`associate-+r+_binary64_2738`
73×	`distribute-lft-neg-in_binary64_2763`
51×	`associate-+r-_binary64_2740`
50×	`exp-sum_binary64_2852`
49×	`associate-+l-_binary64_2741`
45×	`cube-prod_binary64_2834`
42×	`distribute-rgt-out_binary64_2759`
41×	`sqr-pow_binary64_2778`
38×	`associate-/l*_binary64_2751`
31×	`distribute-neg-in_binary64_2767`
30×	`exp-diff_binary64_2854` `*-rgt-identity_binary64_2796`
28×	`exp-neg_binary64_2853` `*-lft-identity_binary64_2795`
27×	`log-prod_binary64_2892` `div-sub_binary64_2811`
22×	`associate--r+_binary64_2742`
20×	`associate--l+_binary64_2743`
18×	`exp-cbrt_binary64_2860` `swap-sqr_binary64_2773`
16×	`pow-sqr_binary64_2779` `distribute-rgt-out--_binary64_2760`
15×	`unpow3_binary64_2872`
14×	`unswap-sqr_binary64_2774`
10×	`cube-mult_binary64_2836` `associate-/r*_binary64_2750`
8×	`distribute-lft-out_binary64_2757`
7×	`mul-1-neg_binary64_2798` `difference-of-squares_binary64_2775`
5×	`cube-unmult_binary64_2843` `distribute-lft-out--_binary64_2758`
4×	`+-rgt-identity_binary64_2791`
3×	`associate-/l/_binary64_2753` `associate-/r/_binary64_2752`
2×	`exp-lft-sqr_binary64_2861` `prod-exp_binary64_2855`
1×	`div-exp_binary64_2857` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-log-exp_binary64_2847` `cube-div_binary64_2835` `cube-neg_binary64_2833` `rem-3cbrt-lft_binary64_2831` `sqr-neg_binary64_2820` `rem-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `remove-double-neg_binary64_2794`
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` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `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-sqrt_binary64_2859` `rec-exp_binary64_2856` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-exp-log_binary64_2846` `rem-3cbrt-rft_binary64_2832` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `/-rgt-identity_binary64_2797` `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-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `count-2_binary64_2754` `associate--r-_binary64_2745` `associate--l-_binary64_2744`

Counts

167 → 384

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	225	3046
1	603	2887
2	2009	2824
3	3838	2797

prune588.0ms (4.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	377	7	384
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	379	7	386

Error

0.0b

Counts

386 → 7

Compiler

Compiled 8540 to 5148 computations (39.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 4 (-.f64 y x)) (.f64 z (*.f64 6 (-.f64 y x))))
0.0b	(*.f64 6 (-.f64 y x))
0.0b	(+.f64 x (-.f64 (.f64 4 (-.f64 y x)) (.f64 z (*.f64 6 (-.f64 y x)))))
0.2b	(.f64 z (.f64 6 (-.f64 y x)))

rewrite213.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

44×	`distribute-rgt-in_binary64_2756` `cancel-sign-sub-inv_binary64_2772` `distribute-lft-in_binary64_2755`
25×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
24×	`associate-*r/_binary64_2748`
21×	`add-cube-cbrt_binary64_2841`
16×	`sub-neg_binary64_2799` `associate--l+_binary64_2743` `associate--r+_binary64_2742`
11×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842`
10×	`associate-+r+_binary64_2738`
9×	`flip3--_binary64_2810` `flip--_binary64_2781`
6×	`associate-l_binary64_2747` `associate-r_binary64_2746`
4×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `frac-sub_binary64_2815`
2×	`*-commutative_binary64_2737` `diff-log_binary64_2898` `sum-log_binary64_2897` `sub-div_binary64_2813`
1×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-lft-out_binary64_2757` `associate-+r-_binary64_2740` `+-commutative_binary64_2736` `unswap-sqr_binary64_2774` `difference-of-squares_binary64_2775` `distribute-lft-out--_binary64_2758`

Counts

4 → 132

Calls

4 calls:

11.0ms	(-.f64 (.f64 4 (-.f64 y x)) (.f64 z (*.f64 6 (-.f64 y x))))
9.0ms	(+.f64 x (-.f64 (.f64 4 (-.f64 y x)) (.f64 z (*.f64 6 (-.f64 y x)))))
9.0ms	(.f64 z (.f64 6 (-.f64 y x)))
7.0ms	(*.f64 6 (-.f64 y x))

Compiler

Compiled 3212 to 1581 computations (50.8% saved)

series1.3s (9.2%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

456.0ms	(-.f64 (.f64 4 (-.f64 y x)) (.f64 z (*.f64 6 (-.f64 y x))))
453.0ms	(+.f64 x (-.f64 (.f64 4 (-.f64 y x)) (.f64 z (*.f64 6 (-.f64 y x)))))
197.0ms	(.f64 z (.f64 6 (-.f64 y x)))
98.0ms	(*.f64 6 (-.f64 y x))

Compiler

Compiled 2525 to 1862 computations (26.3% saved)

simplify581.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

413×	`cancel-sign-sub-inv_binary64_2772`
290×	`associate-r_binary64_2746`
280×	`distribute-rgt-neg-in_binary64_2764`
266×	`associate-l_binary64_2747`
212×	`associate-+l+_binary64_2739`
211×	`distribute-lft-neg-in_binary64_2763`
180×	`associate-+r+_binary64_2738`
154×	`distribute-lft-neg-out_binary64_2765`
148×	`*-commutative_binary64_2737`
134×	`distribute-rgt-in_binary64_2756`
128×	`sub-neg_binary64_2799` `distribute-lft-in_binary64_2755`
125×	`associate--r+_binary64_2742`
107×	`exp-prod_binary64_2858` `distribute-rgt-neg-out_binary64_2766` `distribute-rgt-out_binary64_2759`
91×	`distribute-neg-in_binary64_2767`
80×	`neg-sub0_binary64_2801`
75×	`associate-+r-_binary64_2740`
73×	`associate--l+_binary64_2743` `associate-+l-_binary64_2741`
69×	`neg-mul-1_binary64_2802`
57×	`+-commutative_binary64_2736`
46×	`unsub-neg_binary64_2800` `sqr-pow_binary64_2778`
42×	`distribute-rgt-out--_binary64_2760`
32×	`cube-prod_binary64_2834`
27×	`distribute-lft-out_binary64_2757`
26×	`log-prod_binary64_2892` `swap-sqr_binary64_2773`
24×	`exp-sum_binary64_2852`
23×	`*-rgt-identity_binary64_2796`
22×	`*-lft-identity_binary64_2795`
21×	`unswap-sqr_binary64_2774`
17×	`pow-sqr_binary64_2779`
15×	`exp-diff_binary64_2854`
13×	`associate--r-_binary64_2745`
11×	`unpow3_binary64_2872` `associate--l-_binary64_2744`
10×	`distribute-neg-out_binary64_2768`
9×	`associate-/l*_binary64_2751`
8×	`cube-mult_binary64_2836` `mul-1-neg_binary64_2798` `cancel-sign-sub_binary64_2771`
7×	`difference-of-squares_binary64_2775`
6×	`times-frac_binary64_2812`
5×	`exp-neg_binary64_2853`
4×	`remove-double-neg_binary64_2794` `distribute-lft-out--_binary64_2758` `associate-/r*_binary64_2750`
3×	`prod-exp_binary64_2855` `cube-unmult_binary64_2843` `div-sub_binary64_2811` `+-rgt-identity_binary64_2791` `associate-l/_binary64_2749` `associate-r/_binary64_2748`
2×	`div-exp_binary64_2857` `associate-/l/_binary64_2753` `associate-/r/_binary64_2752`
1×	`1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-log-exp_binary64_2847` `rem-3cbrt-lft_binary64_2831` `rem-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `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` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `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` `rec-exp_binary64_2856` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-exp-log_binary64_2846` `cube-div_binary64_2835` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `/-rgt-identity_binary64_2797` `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` `distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-rgt1-in_binary64_2762` `count-2_binary64_2754`

Counts

195 → 474

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	3356
1	691	2951
2	2309	2797

prune686.0ms (5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	473	1	474
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	474	7	481

Error

0.0b

Counts

481 → 7

Compiler

Compiled 11091 to 5527 computations (50.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 z 6) 4)
0.0b	(-.f64 (.f64 x (-.f64 (.f64 z 6) 3)) (.f64 y (-.f64 (.f64 z 6) 4)))
0.1b	(.f64 y (-.f64 (.f64 z 6) 4))
0.1b	(.f64 x (-.f64 (.f64 z 6) 3))

rewrite188.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`cancel-sign-sub-inv_binary64_2772`
21×	`add-sqr-sqrt_binary64_2828`
17×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
16×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
12×	`associate-*r/_binary64_2748`
10×	`sub-neg_binary64_2799`
8×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-log-exp_binary64_2845` `add-cbrt-cube_binary64_2842` `flip3--_binary64_2810` `flip--_binary64_2781` `associate--l+_binary64_2743` `associate--r+_binary64_2742`
6×	`associate-l_binary64_2747` `associate-r_binary64_2746`
4×	`frac-sub_binary64_2815`
2×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737` `diff-log_binary64_2898`

Counts

4 → 102

Calls

4 calls:

11.0ms	(-.f64 (.f64 x (-.f64 (.f64 z 6) 3)) (.f64 y (-.f64 (.f64 z 6) 4)))
7.0ms	(.f64 y (-.f64 (.f64 z 6) 4))
7.0ms	(.f64 x (-.f64 (.f64 z 6) 3))
4.0ms	(-.f64 (*.f64 z 6) 4)

Compiler

Compiled 2563 to 1976 computations (22.9% saved)

series753.0ms (5.5%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

405.0ms	(-.f64 (.f64 x (-.f64 (.f64 z 6) 3)) (.f64 y (-.f64 (.f64 z 6) 4)))
139.0ms	(.f64 x (-.f64 (.f64 z 6) 3))
122.0ms	(.f64 y (-.f64 (.f64 z 6) 4))
51.0ms	(-.f64 (*.f64 z 6) 4)

Compiler

Compiled 1600 to 1303 computations (18.6% saved)

simplify487.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

366×	`unsub-neg_binary64_2800`
300×	`neg-sub0_binary64_2801`
283×	`neg-mul-1_binary64_2802`
257×	`associate-l_binary64_2747`
252×	`associate-r_binary64_2746`
197×	`exp-prod_binary64_2858`
183×	`distribute-rgt-neg-in_binary64_2764`
163×	`cancel-sign-sub-inv_binary64_2772`
152×	`+-commutative_binary64_2736`
141×	`*-commutative_binary64_2737`
129×	`distribute-lft-neg-in_binary64_2763`
128×	`associate-+l+_binary64_2739`
123×	`associate-+r+_binary64_2738`
113×	`distribute-rgt-in_binary64_2756`
111×	`distribute-lft-in_binary64_2755`
109×	`associate--r+_binary64_2742`
94×	`distribute-lft-neg-out_binary64_2765`
87×	`sub-neg_binary64_2799`
78×	`distribute-rgt-neg-out_binary64_2766`
71×	`distribute-neg-in_binary64_2767`
66×	`exp-diff_binary64_2854`
63×	`exp-sum_binary64_2852`
60×	`cube-prod_binary64_2834`
53×	`distribute-rgt-out_binary64_2759` `associate-+r-_binary64_2740`
47×	`sqr-pow_binary64_2778`
43×	`associate-+l-_binary64_2741`
37×	`associate--l+_binary64_2743`
35×	`*-lft-identity_binary64_2795` `distribute-lft-out_binary64_2757`
32×	`times-frac_binary64_2812` `*-rgt-identity_binary64_2796`
31×	`log-prod_binary64_2892`
26×	`swap-sqr_binary64_2773`
24×	`unswap-sqr_binary64_2774`
23×	`exp-neg_binary64_2853`
19×	`pow-sqr_binary64_2779`
16×	`unpow3_binary64_2872`
13×	`distribute-rgt-out--_binary64_2760`
10×	`distribute-neg-out_binary64_2768`
9×	`div-sub_binary64_2811` `difference-of-squares_binary64_2775`
8×	`cube-mult_binary64_2836`
7×	`associate-/l*_binary64_2751`
6×	`mul-1-neg_binary64_2798`
5×	`cube-unmult_binary64_2843`
4×	`exp-lft-cube_binary64_2862` `sqr-neg_binary64_2820`
3×	`cube-neg_binary64_2833` `rem-sqrt-square_binary64_2819` `+-rgt-identity_binary64_2791` `distribute-lft-out--_binary64_2758`
2×	`pow-base-1_binary64_2866` `div-exp_binary64_2857` `rem-3cbrt-lft_binary64_2831` `rem-square-sqrt_binary64_2818` `associate--r-_binary64_2745`
1×	`log-pow_binary64_2895` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-log-exp_binary64_2847` `remove-double-neg_binary64_2794` `associate-/l/_binary64_2753` `associate-/r_binary64_2750` `associate-r/_binary64_2748` `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` `log-div_binary64_2893` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `unpow2_binary64_2871` `unpow1/2_binary64_2870` `exp-to-pow_binary64_2868` `unpow0_binary64_2865` `unpow1_binary64_2864` `unpow-1_binary64_2863` `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-exp-log_binary64_2846` `cube-div_binary64_2835` `rem-3cbrt-rft_binary64_2832` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `/-rgt-identity_binary64_2797` `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-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `count-2_binary64_2754` `associate-/r/_binary64_2752` `associate-l/_binary64_2749`

Counts

144 → 313

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	2592
1	596	2478
2	2023	2396
3	3919	2396

prune772.0ms (5.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	311	2	313
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	313	7	320

Error

Counts

320 → 7

Compiler

Compiled 9624 to 7315 computations (24% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 6 (.f64 x z)) (*.f64 4 y))
0.0b	(-.f64 (+.f64 (.f64 6 (.f64 x z)) (.f64 4 y)) (+.f64 (.f64 6 (.f64 z y)) (.f64 x 3)))
0.3b	(.f64 6 (.f64 z y))
0.3b	(.f64 6 (.f64 x z))

rewrite160.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-log-exp_binary64_2845`
14×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
9×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
7×	`add-cube-cbrt_binary64_2841`
6×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-l_binary64_2747`
5×	`sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780`
4×	`diff-log_binary64_2898` `frac-sub_binary64_2815`
3×	`cancel-sign-sub-inv_binary64_2772`
2×	`associate-r_binary64_2746` `*-commutative_binary64_2737`
1×	`flip3--_binary64_2810` `sub-neg_binary64_2799` `flip--_binary64_2781` `difference-of-squares_binary64_2775` `distribute-lft-out--_binary64_2758` `associate--l+_binary64_2743` `associate--r+_binary64_2742` `+-commutative_binary64_2736`

Counts

4 → 72

Calls

4 calls:

13.0ms	(-.f64 (+.f64 (.f64 6 (.f64 x z)) (.f64 4 y)) (+.f64 (.f64 6 (.f64 z y)) (.f64 x 3)))
5.0ms	(+.f64 (.f64 6 (.f64 x z)) (*.f64 4 y))
5.0ms	(.f64 6 (.f64 z y))
5.0ms	(.f64 6 (.f64 x z))

Compiler

Compiled 2354 to 1452 computations (38.3% saved)

series824.0ms (6%)

Error

Counts

4 → 48

Calls

4 calls:

397.0ms	(-.f64 (+.f64 (.f64 6 (.f64 x z)) (.f64 4 y)) (+.f64 (.f64 6 (.f64 z y)) (.f64 x 3)))
215.0ms	(+.f64 (.f64 6 (.f64 x z)) (*.f64 4 y))
89.0ms	(.f64 6 (.f64 x z))
81.0ms	(.f64 6 (.f64 z y))

Compiler

Compiled 2118 to 1615 computations (23.7% saved)

simplify422.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

276×	`cancel-sign-sub-inv_binary64_2772`
267×	`associate-+l+_binary64_2739`
256×	`associate-l_binary64_2747`
251×	`associate-r_binary64_2746`
227×	`associate-+r+_binary64_2738`
212×	`distribute-rgt-neg-in_binary64_2764`
177×	`distribute-lft-neg-in_binary64_2763` `+-commutative_binary64_2736`
131×	`exp-prod_binary64_2858`
123×	`distribute-rgt-in_binary64_2756`
115×	`distribute-lft-in_binary64_2755`
110×	`distribute-lft-neg-out_binary64_2765` `*-commutative_binary64_2737`
103×	`associate--r+_binary64_2742`
89×	`sub-neg_binary64_2799`
73×	`distribute-neg-in_binary64_2767` `distribute-rgt-out_binary64_2759`
70×	`associate--l+_binary64_2743`
69×	`distribute-rgt-neg-out_binary64_2766`
67×	`neg-sub0_binary64_2801`
60×	`neg-mul-1_binary64_2802`
56×	`sqr-pow_binary64_2778`
47×	`associate-+l-_binary64_2741`
45×	`unswap-sqr_binary64_2774` `associate-+r-_binary64_2740`
40×	`unsub-neg_binary64_2800`
33×	`distribute-rgt-out--_binary64_2760`
32×	`times-frac_binary64_2812`
30×	`associate-/l*_binary64_2751`
28×	`exp-sum_binary64_2852` `distribute-lft-out_binary64_2757`
26×	`swap-sqr_binary64_2773`
23×	`pow-sqr_binary64_2779`
22×	`associate-/r*_binary64_2750`
20×	`unpow3_binary64_2872`
19×	`cube-prod_binary64_2834`
14×	`log-prod_binary64_2892` `div-exp_binary64_2857`
12×	`distribute-lft-out--_binary64_2758`
11×	`exp-diff_binary64_2854` `cube-mult_binary64_2836`
7×	`prod-exp_binary64_2855` `mul-1-neg_binary64_2798`
5×	`difference-of-squares_binary64_2775`
4×	`associate-/r/_binary64_2752` `associate-*r/_binary64_2748`
3×	`cube-unmult_binary64_2843` `-rgt-identity_binary64_2796` `-lft-identity_binary64_2795` `+-rgt-identity_binary64_2791` `associate-/l/_binary64_2753`
2×	`exp-lft-cube_binary64_2862` `associate--r-_binary64_2745`
1×	`pow-base-1_binary64_2866` `1-exp_binary64_2850` `rem-3cbrt-lft_binary64_2831` `rem-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `remove-double-neg_binary64_2794` `associate-*l/_binary64_2749`
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` `pow-base-0_binary64_2890` `unpow1/3_binary64_2873` `unpow2_binary64_2871` `unpow1/2_binary64_2870` `pow-plus_binary64_2869` `exp-to-pow_binary64_2868` `unpow0_binary64_2865` `unpow1_binary64_2864` `unpow-1_binary64_2863` `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-1-e_binary64_2849` `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` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `div-sub_binary64_2811` `/-rgt-identity_binary64_2797` `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-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `count-2_binary64_2754` `associate--l-_binary64_2744`

Counts

120 → 341

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	2576
1	578	2363
2	2186	2252
3	4950	2252

prune954.0ms (7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	340	1	341
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	341	7	348

Error

Counts

348 → 7

Compiler

Compiled 14295 to 9083 computations (36.5% saved)

regimes1.1s (7.9%)

Accuracy

Total 0.2b remaining (98.5%)

Threshold costs 0.2b (98.5%)

Compiler

Compiled 9448 to 7892 computations (16.5% saved)

bsearch0.0ms (0%)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

72×	`unsub-neg_binary64_2800`
64×	`neg-mul-1_binary64_2802` `neg-sub0_binary64_2801`
54×	`distribute-rgt-neg-in_binary64_2764`
45×	`distribute-neg-out_binary64_2768` `distribute-rgt-neg-out_binary64_2766`
37×	`cancel-sign-sub-inv_binary64_2772`
34×	`distribute-lft-neg-out_binary64_2765` `distribute-lft-neg-in_binary64_2763`
28×	`sub-neg_binary64_2799`
20×	`distribute-neg-in_binary64_2767`
19×	`remove-double-neg_binary64_2794`
18×	`*-commutative_binary64_2737` `+-commutative_binary64_2736`
1×	`sqr-neg_binary64_2820` `--rgt-identity_binary64_2792`
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` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `sqr-abs_binary64_2821` `mul-1-neg_binary64_2798` `/-rgt-identity_binary64_2797` `-rgt-identity_binary64_2796` `-lft-identity_binary64_2795` `sub0-neg_binary64_2793` `+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790` `cancel-sign-sub_binary64_2771` `distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	27	22
2	45	22
3	75	22
4	104	22
5	133	22
6	148	22
7	220	22
8	190	22
9	195	22
10	203	22
11	217	22
12	244	22
13	271	22
14	293	22
15	310	22
16	318	22
17	320	22

Proof

(=> (- f64 (* f64 h0 (* f64 6 (- f64 h1 h2))) (- f64 (* f64 h1 3) (* f64 4 h2))))
sub-neg_binary64_2799 =>
(+ f64 (* f64 h0 (* f64 6 (- f64 h1 h2))) (neg f64 (=> (- f64 (* f64 h1 3) (* f64 4 h2)))))
sub-neg_binary64_2799 =>
(+ f64 (* f64 h0 (* f64 6 (- f64 h1 h2))) (neg f64 (=> (+ f64 (* f64 h1 3) (neg f64 (* f64 4 h2))))))
+-commutative_binary64_2736 =>
(+ f64 (* f64 h0 (* f64 6 (- f64 h1 h2))) (=> (neg f64 (+ f64 (neg f64 (* f64 4 h2)) (* f64 h1 3)))))
distribute-neg-in_binary64_2767 =>
(+ f64 (* f64 h0 (* f64 6 (- f64 h1 h2))) (+ f64 (neg f64 (neg f64 (=> (* f64 4 h2)))) (neg f64 (* f64 h1 3))))
*-commutative_binary64_2737 =>
(+ f64 (* f64 h0 (* f64 6 (- f64 h1 h2))) (+ f64 (=> (neg f64 (neg f64 (* f64 h2 4)))) (neg f64 (* f64 h1 3))))
remove-double-neg_binary64_2794 =>
(+ f64 (* f64 h0 (* f64 6 (- f64 h1 h2))) (+ f64 (* f64 h2 4) (neg f64 (* f64 h1 3))))
<= *-commutative_binary64_2737
(+ f64 (* f64 h0 (* f64 6 (- f64 h1 h2))) (=> (+ f64 (<= (* f64 4 h2)) (neg f64 (* f64 h1 3)))))
unsub-neg_binary64_2800 =>
(+ f64 (* f64 h0 (* f64 6 (- f64 h1 h2))) (- f64 (=> (* f64 4 h2)) (* f64 h1 3)))
*-commutative_binary64_2737 =>
(+ f64 (* f64 h0 (* f64 6 (- f64 h1 h2))) (- f64 (* f64 h2 4) (* f64 h1 3)))

end0.0ms (0%)

sample2.1s (15.5%)

Algorithm

1×

intervals

Results

279.0ms	7369×	body	128	valid
33.0ms	245×	body	1024	valid
28.0ms	235×	body	512	valid
22.0ms	612×	body	128	invalid
17.0ms	151×	body	256	valid

Compiler

Compiled 1751 to 1468 computations (16.2% saved)

Iter	Nodes	Cost
0	14	22
1	27	22
2	45	22
3	75	22
4	104	22
5	133	22
6	148	22
7	220	22
8	190	22
9	195	22
10	203	22
11	217	22
12	244	22
13	271	22
14	293	22
15	310	22
16	318	22
17	320	22

Iter	Nodes	Cost
0	14	22
1	27	22
2	45	22
3	75	22
4	104	22
5	133	22
6	148	22
7	220	22
8	190	22
9	195	22
10	203	22
11	217	22
12	244	22
13	271	22
14	293	22
15	310	22
16	318	22
17	320	22

Details

analyze406.0ms (3%)

sample26.0ms (0.2%)

simplify546.0ms (4%)

prune6.0ms (0%)

localize10.0ms (0.1%)

rewrite226.0ms (1.7%)

series849.0ms (6.2%)

simplify442.0ms (3.2%)

prune588.0ms (4.3%)

localize10.0ms (0.1%)

rewrite213.0ms (1.6%)

series1.3s (9.2%)

simplify581.0ms (4.3%)

prune686.0ms (5%)

localize10.0ms (0.1%)

rewrite188.0ms (1.4%)

series753.0ms (5.5%)

simplify487.0ms (3.6%)

prune772.0ms (5.7%)

localize13.0ms (0.1%)

rewrite160.0ms (1.2%)

series824.0ms (6%)

simplify422.0ms (3.1%)

prune954.0ms (7%)

regimes1.1s (7.9%)

bsearch0.0ms (0%)

simplify26.0ms (0.2%)

end0.0ms (0%)

sample2.1s (15.5%)

Profiling

Iter	Nodes	Cost
0	14	22
1	27	22
2	45	22
3	75	22
4	104	22
5	133	22
6	148	22
7	220	22
8	190	22
9	195	22
10	203	22
11	217	22
12	244	22
13	271	22
14	293	22
15	310	22
16	318	22
17	320	22