Details

analyze854.0ms (4.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample116.0ms (0.6%)

Algorithm

1×

intervals

Results

31.0ms	338×	body	128	nan
19.0ms	235×	body	128	valid
14.0ms	175×	body	128	invalid
4.0ms	6×	body	1024	valid
3.0ms	9×	body	512	valid
2.0ms	5×	body	512	invalid
1.0ms	2×	body	1024	invalid
1.0ms	6×	body	256	valid
1.0ms	4×	body	256	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify287.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

460×	`unswap-sqr_binary64_2774`
364×	`associate-/r*_binary64_2750`
255×	`*-commutative_binary64_2737`
230×	`cancel-sign-sub-inv_binary64_2772`
227×	`associate-/l/_binary64_2753`
211×	`div-sub_binary64_2811`
190×	`exp-sum_binary64_2852`
176×	`associate-l_binary64_2747`
171×	`distribute-lft-out_binary64_2757`
170×	`sub-neg_binary64_2799`
154×	`associate-r_binary64_2746`
153×	`distribute-lft-out--_binary64_2758`
139×	`exp-diff_binary64_2854` `sqr-pow_binary64_2778`
96×	`distribute-rgt-out_binary64_2759`
94×	`distribute-rgt-neg-out_binary64_2766`
92×	`exp-prod_binary64_2858` `distribute-lft-neg-out_binary64_2765`
84×	`unsub-neg_binary64_2800`
83×	`associate-/r/_binary64_2752`
82×	`distribute-neg-in_binary64_2767`
80×	`distribute-rgt-in_binary64_2756`
78×	`pow-sqr_binary64_2779`
75×	`associate-*r/_binary64_2748`
74×	`neg-mul-1_binary64_2802`
73×	`associate-/l_binary64_2751` `associate-l/_binary64_2749`
62×	`neg-sub0_binary64_2801`
60×	`distribute-frac-neg_binary64_2769` `distribute-rgt-out--_binary64_2760` `distribute-lft-in_binary64_2755`
51×	`associate--r+_binary64_2742`
50×	`associate-+l-_binary64_2741`
44×	`distribute-rgt-neg-in_binary64_2764`
40×	`distribute-lft-neg-in_binary64_2763`
39×	`associate-+l+_binary64_2739`
34×	`associate-+r+_binary64_2738`
31×	`+-commutative_binary64_2736`
29×	`sub0-neg_binary64_2793`
26×	`associate-+r-_binary64_2740`
24×	`prod-exp_binary64_2855` `-rgt-identity_binary64_2796` `-lft-identity_binary64_2795`
18×	`distribute-neg-out_binary64_2768`
17×	`associate--r-_binary64_2745`
15×	`mul0-lft_binary64_2788`
14×	`div-exp_binary64_2857` `remove-double-neg_binary64_2794` `mul0-rgt_binary64_2789`
12×	`exp-neg_binary64_2853`
11×	`log-prod_binary64_2892` `cube-unmult_binary64_2843` `--rgt-identity_binary64_2792`
10×	`+-rgt-identity_binary64_2791`
8×	`distribute-neg-frac_binary64_2770`
7×	`distribute-rgt1-in_binary64_2762`
6×	`pow-plus_binary64_2869`
5×	`log-pow_binary64_2895`
4×	`exp-to-pow_binary64_2868` `cancel-sign-sub_binary64_2771` `distribute-lft1-in_binary64_2761` `count-2_binary64_2754` `associate--l-_binary64_2744`
3×	`associate--l+_binary64_2743`
2×	`unpow-1_binary64_2863` `exp-sqrt_binary64_2859` `rem-exp-log_binary64_2846` `rem-sqrt-square_binary64_2819` `times-frac_binary64_2812` `/-rgt-identity_binary64_2797` `+-lft-identity_binary64_2790` `div0_binary64_2787`
1×	`1-exp_binary64_2850` `rem-log-exp_binary64_2847` `*-inverses_binary64_2786`
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` `unpow3_binary64_2872` `unpow2_binary64_2871` `unpow1/2_binary64_2870` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow1_binary64_2864` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `rec-exp_binary64_2856` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `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` `sqr-neg_binary64_2820` `rem-square-sqrt_binary64_2818` `mul-1-neg_binary64_2798` `+-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` `swap-sqr_binary64_2773`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	28
1	33	28
2	68	28
3	153	26
4	377	26
5	1145	26
6	2755	26

prune6.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

2.2b

Counts

3 → 2

Compiler

Compiled 69 to 55 computations (20.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
0.2b	(*.f64 y (-.f64 (log.f64 z) t))
0.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
6.1b	(log.f64 (-.f64 1 z))

rewrite207.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

Rules

33×	`add-sqr-sqrt_binary64_2828`
32×	`*-un-lft-identity_binary64_2806`
30×	`log-prod_binary64_2892`
24×	`distribute-rgt-in_binary64_2756` `associate--l+_binary64_2743` `distribute-lft-in_binary64_2755`
20×	`add-cube-cbrt_binary64_2841` `associate-+r+_binary64_2738`
18×	`cancel-sign-sub-inv_binary64_2772`
14×	`associate-+l+_binary64_2739`
10×	`associate-*r/_binary64_2748`
9×	`add-log-exp_binary64_2845`
8×	`pow1_binary64_2867`
7×	`difference-of-squares_binary64_2775` `add-exp-log_binary64_2844`
6×	`flip3--_binary64_2810` `flip--_binary64_2781` `add-cbrt-cube_binary64_2842` `sub-neg_binary64_2799` `associate-r_binary64_2746`
5×	`distribute-lft-out--_binary64_2758`
4×	`frac-add_binary64_2814`
3×	`associate-l_binary64_2747` `exp-prod_binary64_2858`
2×	`log-pow_binary64_2895` `log-div_binary64_2893` `sum-log_binary64_2897` `rem-exp-log_binary64_2846`
1×	`rem-log-exp_binary64_2847` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `*-commutative_binary64_2737` `exp-sum_binary64_2852`

Counts

4 → 116

Calls

4 calls:

15.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
9.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(log.f64 (-.f64 1 z))

Compiler

Compiled 3266 to 1571 computations (51.9% saved)

series2.2s (11.2%)

Error

0.0b

Counts

4 → 69

Calls

4 calls:

1.2s	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
578.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
322.0ms	(*.f64 y (-.f64 (log.f64 z) t))
24.0ms	(log.f64 (-.f64 1 z))

Compiler

Compiled 5143 to 3406 computations (33.8% saved)

simplify899.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

622×	`cancel-sign-sub-inv_binary64_2772`
412×	`associate-r_binary64_2746`
368×	`associate-l_binary64_2747`
235×	`sub-neg_binary64_2799`
225×	`*-commutative_binary64_2737`
155×	`unswap-sqr_binary64_2774`
145×	`distribute-rgt-in_binary64_2756`
140×	`distribute-lft-in_binary64_2755`
138×	`+-commutative_binary64_2736`
112×	`exp-sum_binary64_2852`
104×	`unsub-neg_binary64_2800`
100×	`neg-sub0_binary64_2801`
97×	`exp-prod_binary64_2858`
94×	`sqr-pow_binary64_2778`
91×	`neg-mul-1_binary64_2802`
81×	`associate-+r+_binary64_2738`
76×	`associate-+l+_binary64_2739`
55×	`distribute-rgt-neg-in_binary64_2764`
53×	`associate--l+_binary64_2743`
48×	`associate--r+_binary64_2742`
45×	`exp-diff_binary64_2854`
44×	`pow-sqr_binary64_2779`
38×	`log-prod_binary64_2892`
36×	`*-lft-identity_binary64_2795` `distribute-lft-neg-in_binary64_2763`
35×	`associate-*r/_binary64_2748`
32×	`*-rgt-identity_binary64_2796`
29×	`swap-sqr_binary64_2773`
27×	`cube-prod_binary64_2834` `associate-*l/_binary64_2749`
25×	`distribute-neg-in_binary64_2767`
24×	`prod-exp_binary64_2855`
23×	`pow-plus_binary64_2869`
21×	`times-frac_binary64_2812`
19×	`difference-of-squares_binary64_2775` `distribute-lft-neg-out_binary64_2765`
16×	`log-div_binary64_2893`
15×	`associate-+l-_binary64_2741` `associate-+r-_binary64_2740`
14×	`distribute-rgt-out_binary64_2759`
12×	`unpow3_binary64_2872`
11×	`cube-mult_binary64_2836`
9×	`log-pow_binary64_2895` `mul-1-neg_binary64_2798`
8×	`exp-to-pow_binary64_2868` `remove-double-neg_binary64_2794` `distribute-rgt-neg-out_binary64_2766` `distribute-rgt-out--_binary64_2760`
7×	`distribute-lft-out_binary64_2757`
6×	`unpow2_binary64_2871` `unpow1_binary64_2864`
5×	`exp-neg_binary64_2853`
4×	`rem-log-exp_binary64_2847` `cube-div_binary64_2835` `div-sub_binary64_2811` `distribute-rgt1-in_binary64_2762` `associate-/r*_binary64_2750` `associate--r-_binary64_2745`
3×	`pow-base-1_binary64_2866` `rem-exp-log_binary64_2846` `cube-unmult_binary64_2843` `cube-neg_binary64_2833` `sqr-neg_binary64_2820` `/-rgt-identity_binary64_2797` `+-rgt-identity_binary64_2791` `count-2_binary64_2754`
2×	`log-rec_binary64_2894` `rem-sqrt-square_binary64_2819` `mul0-rgt_binary64_2789` `distribute-neg-frac_binary64_2770` `associate--l-_binary64_2744`
1×	`exp-sqrt_binary64_2859` `div-exp_binary64_2857` `rec-exp_binary64_2856` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-3cbrt-lft_binary64_2831` `rem-square-sqrt_binary64_2818` `--rgt-identity_binary64_2792` `-inverses_binary64_2786` `distribute-lft-out--_binary64_2758` `associate-/l_binary64_2751`
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` `unpow1/2_binary64_2870` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-3cbrt-rft_binary64_2832` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `sub0-neg_binary64_2793` `+-lft-identity_binary64_2790` `mul0-lft_binary64_2788` `div0_binary64_2787` `+-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` `distribute-lft1-in_binary64_2761` `associate-/l/_binary64_2753` `associate-/r/_binary64_2752`

Counts

185 → 324

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	379	4831
1	998	4400
2	3918	4276

prune531.0ms (2.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	321	3	324
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	323	3	326

Error

0.0b

Counts

326 → 3

Compiler

Compiled 10051 to 4733 computations (52.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
0.0b	(*.f64 a (-.f64 (neg.f64 z) b))
0.2b	(*.f64 y (-.f64 (log.f64 z) t))
0.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))

rewrite166.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

29×	`add-sqr-sqrt_binary64_2828`
28×	`*-un-lft-identity_binary64_2806`
24×	`cancel-sign-sub-inv_binary64_2772`
22×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
21×	`add-cube-cbrt_binary64_2841`
14×	`associate-+l+_binary64_2739`
12×	`associate-r/_binary64_2748` `log-prod_binary64_2892` `associate--l+_binary64_2743` `associate-r*_binary64_2746`
9×	`add-log-exp_binary64_2845` `pow1_binary64_2867`
8×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `sub-neg_binary64_2799` `associate-+r+_binary64_2738`
6×	`flip3--_binary64_2810` `flip--_binary64_2781` `associate-l_binary64_2747`
4×	`frac-add_binary64_2814` `distribute-lft-out--_binary64_2758`
3×	`exp-prod_binary64_2858`
2×	`sum-log_binary64_2897` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `difference-of-squares_binary64_2775` `*-commutative_binary64_2737` `rem-exp-log_binary64_2846`
1×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736` `log-pow_binary64_2895` `distribute-rgt-neg-in_binary64_2764` `exp-sum_binary64_2852`

Counts

4 → 118

Calls

4 calls:

12.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))
9.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
9.0ms	(*.f64 a (-.f64 (neg.f64 z) b))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))

Compiler

Compiled 2987 to 702 computations (76.5% saved)

series1.8s (8.9%)

Error

0.0b

Counts

4 → 82

Calls

4 calls:

788.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b)))
407.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (neg.f64 z) b))))
316.0ms	(*.f64 y (-.f64 (log.f64 z) t))
169.0ms	(*.f64 a (-.f64 (neg.f64 z) b))

Compiler

Compiled 4904 to 2611 computations (46.8% saved)

simplify918.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

585×	`cancel-sign-sub-inv_binary64_2772`
472×	`associate-r_binary64_2746`
411×	`associate-l_binary64_2747`
233×	`*-commutative_binary64_2737`
184×	`sub-neg_binary64_2799`
182×	`unswap-sqr_binary64_2774`
145×	`distribute-rgt-in_binary64_2756`
135×	`distribute-lft-in_binary64_2755`
131×	`unsub-neg_binary64_2800`
125×	`exp-prod_binary64_2858`
124×	`neg-sub0_binary64_2801`
111×	`+-commutative_binary64_2736`
110×	`neg-mul-1_binary64_2802`
106×	`times-frac_binary64_2812`
86×	`sqr-pow_binary64_2778`
65×	`associate-+r+_binary64_2738`
58×	`associate-+l+_binary64_2739`
55×	`*-rgt-identity_binary64_2796`
53×	`distribute-rgt-neg-in_binary64_2764`
51×	`exp-sum_binary64_2852`
46×	`*-lft-identity_binary64_2795`
42×	`distribute-lft-neg-out_binary64_2765`
41×	`cube-prod_binary64_2834`
40×	`pow-sqr_binary64_2779` `associate--r+_binary64_2742`
38×	`exp-diff_binary64_2854` `associate--l+_binary64_2743`
35×	`swap-sqr_binary64_2773` `distribute-rgt-neg-out_binary64_2766`
34×	`log-prod_binary64_2892`
32×	`distribute-lft-neg-in_binary64_2763`
29×	`distribute-neg-in_binary64_2767`
28×	`associate-*r/_binary64_2748`
27×	`associate-*l/_binary64_2749`
20×	`prod-exp_binary64_2855`
19×	`difference-of-squares_binary64_2775`
18×	`pow-plus_binary64_2869`
13×	`unpow3_binary64_2872`
11×	`associate-+r-_binary64_2740`
10×	`cube-mult_binary64_2836` `mul-1-neg_binary64_2798`
9×	`log-div_binary64_2893` `distribute-rgt-out_binary64_2759`
8×	`distribute-lft-out_binary64_2757` `associate-+l-_binary64_2741`
7×	`log-pow_binary64_2895` `div-sub_binary64_2811` `+-rgt-identity_binary64_2791`
6×	`unpow2_binary64_2871` `unpow1_binary64_2864` `remove-double-neg_binary64_2794`
5×	`exp-neg_binary64_2853`
4×	`rem-log-exp_binary64_2847` `cube-unmult_binary64_2843` `cube-div_binary64_2835` `cube-neg_binary64_2833` `sqr-neg_binary64_2820` `distribute-neg-out_binary64_2768`
3×	`distribute-rgt-out--_binary64_2760`
2×	`log-rec_binary64_2894` `rem-3cbrt-lft_binary64_2831` `rem-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `sub0-neg_binary64_2793` `distribute-neg-frac_binary64_2770` `distribute-rgt1-in_binary64_2762` `count-2_binary64_2754` `associate--r-_binary64_2745` `associate--l-_binary64_2744`
1×	`exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `exp-sqrt_binary64_2859` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-exp-log_binary64_2846` `mul0-rgt_binary64_2789` `*-inverses_binary64_2786`
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` `unpow1/2_binary64_2870` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `div-exp_binary64_2857` `rec-exp_binary64_2856` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-3cbrt-rft_binary64_2832` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `/-rgt-identity_binary64_2797` `--rgt-identity_binary64_2792` `+-lft-identity_binary64_2790` `mul0-lft_binary64_2788` `div0_binary64_2787` `+-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-lft1-in_binary64_2761` `distribute-lft-out--_binary64_2758` `associate-/l/_binary64_2753` `associate-/r/_binary64_2752` `associate-/l_binary64_2751` `associate-/r_binary64_2750`

Counts

200 → 511

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	4234
1	968	3895
2	3817	3784

prune523.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	511	0	511
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	511	3	514

Error

0.0b

Counts

514 → 3

Compiler

Compiled 13101 to 2126 computations (83.8% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (exp.f64 (.f64 y (-.f64 (log.f64 z) t))))
0.0b	(exp.f64 (*.f64 y (-.f64 (log.f64 z) t)))
0.2b	(*.f64 y (-.f64 (log.f64 z) t))

rewrite115.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`exp-sum_binary64_2852`
25×	`add-sqr-sqrt_binary64_2828`
23×	`associate-r_binary64_2746`
22×	`*-un-lft-identity_binary64_2806`
21×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
19×	`add-cube-cbrt_binary64_2841`
18×	`cancel-sign-sub-inv_binary64_2772` `log-prod_binary64_2892` `associate--l+_binary64_2743`
8×	`pow1_binary64_2867`
7×	`add-cbrt-cube_binary64_2842`
6×	`add-exp-log_binary64_2844` `sub-neg_binary64_2799` `associate-l_binary64_2747`
5×	`add-log-exp_binary64_2845`
2×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `unswap-sqr_binary64_2774` `associate-r/_binary64_2748` `distribute-lft-out--_binary64_2758` `-commutative_binary64_2737`
1×	`flip3--_binary64_2810` `flip--_binary64_2781` `difference-of-squares_binary64_2775` `log-pow_binary64_2895` `exp-to-pow_binary64_2868` `exp-prod_binary64_2858` `rem-exp-log_binary64_2846`

Counts

3 → 93

Calls

3 calls:

10.0ms	(*.f64 y (-.f64 (log.f64 z) t))
9.0ms	(.f64 x (exp.f64 (.f64 y (-.f64 (log.f64 z) t))))
4.0ms	(exp.f64 (*.f64 y (-.f64 (log.f64 z) t)))

Compiler

Compiled 1504 to 390 computations (74.1% saved)

series1.0s (5.2%)

Error

0.0b

Counts

3 → 45

Calls

3 calls:

438.0ms	(.f64 x (exp.f64 (.f64 y (-.f64 (log.f64 z) t))))
320.0ms	(*.f64 y (-.f64 (log.f64 z) t))
211.0ms	(exp.f64 (*.f64 y (-.f64 (log.f64 z) t)))

Compiler

Compiled 1927 to 1414 computations (26.6% saved)

simplify363.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

457×	`cancel-sign-sub-inv_binary64_2772`
426×	`associate-r_binary64_2746`
342×	`associate-l_binary64_2747`
246×	`distribute-rgt-in_binary64_2756`
209×	`distribute-lft-in_binary64_2755`
182×	`distribute-rgt-neg-in_binary64_2764`
177×	`unswap-sqr_binary64_2774`
161×	`*-commutative_binary64_2737`
152×	`exp-prod_binary64_2858`
148×	`sub-neg_binary64_2799`
146×	`distribute-lft-neg-in_binary64_2763`
114×	`distribute-rgt-out_binary64_2759`
90×	`sqr-pow_binary64_2778`
81×	`+-commutative_binary64_2736`
73×	`distribute-lft-neg-out_binary64_2765` `associate-+r+_binary64_2738`
65×	`unsub-neg_binary64_2800`
60×	`associate-+l+_binary64_2739`
58×	`distribute-neg-in_binary64_2767`
57×	`neg-sub0_binary64_2801`
54×	`associate--l+_binary64_2743`
53×	`neg-mul-1_binary64_2802`
43×	`*-rgt-identity_binary64_2796`
41×	`*-lft-identity_binary64_2795` `distribute-rgt-neg-out_binary64_2766`
36×	`associate--r+_binary64_2742`
35×	`exp-sum_binary64_2852`
34×	`pow-sqr_binary64_2779`
30×	`log-prod_binary64_2892`
23×	`distribute-rgt-out--_binary64_2760` `distribute-lft-out_binary64_2757`
19×	`cube-prod_binary64_2834`
17×	`prod-exp_binary64_2855`
16×	`exp-diff_binary64_2854`
14×	`swap-sqr_binary64_2773` `distribute-rgt1-in_binary64_2762`
11×	`div-sub_binary64_2811`
10×	`pow-plus_binary64_2869` `exp-neg_binary64_2853` `distribute-neg-out_binary64_2768`
8×	`difference-of-squares_binary64_2775`
7×	`associate-+r-_binary64_2740`
6×	`log-pow_binary64_2895` `cube-unmult_binary64_2843`
5×	`log-div_binary64_2893` `exp-to-pow_binary64_2868`
4×	`unpow3_binary64_2872` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `+-rgt-identity_binary64_2791` `associate-+l-_binary64_2741`
3×	`unpow2_binary64_2871` `unpow1_binary64_2864` `cube-mult_binary64_2836` `rem-sqrt-square_binary64_2819` `mul-1-neg_binary64_2798`
2×	`pow-base-1_binary64_2866` `cube-div_binary64_2835` `distribute-frac-neg_binary64_2769` `count-2_binary64_2754`
1×	`log-rec_binary64_2894` `exp-sqrt_binary64_2859` `div-exp_binary64_2857` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `rem-3cbrt-lft_binary64_2831` `rem-square-sqrt_binary64_2818` `remove-double-neg_binary64_2794` `sub0-neg_binary64_2793` `div0_binary64_2787` `*-inverses_binary64_2786` `distribute-neg-frac_binary64_2770` `distribute-lft1-in_binary64_2761` `distribute-lft-out--_binary64_2758` `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` `unpow1/2_binary64_2870` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `rec-exp_binary64_2856` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `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` `times-frac_binary64_2812` `/-rgt-identity_binary64_2797` `--rgt-identity_binary64_2792` `+-lft-identity_binary64_2790` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `+-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` `associate-/l/_binary64_2753` `associate-/r/_binary64_2752` `associate-/l_binary64_2751` `associate-/r_binary64_2750` `associate-l/_binary64_2749` `associate-r/_binary64_2748` `associate--l-_binary64_2744`

Counts

138 → 281

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	265	2362
1	675	2132
2	2597	2010

prune244.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	281	0	281
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	281	3	284

Error

0.0b

Counts

284 → 3

Compiler

Compiled 5051 to 1112 computations (78% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)) (.f64 y (-.f64 (log.f64 z) t)))
0.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
6.1b	(log.f64 (-.f64 1 z))
6.1b	(log.f64 (-.f64 1 z))

rewrite380.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`log-prod_binary64_2892`
40×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
36×	`associate--l+_binary64_2743`
34×	`distribute-rgt-in_binary64_2756` `associate-+l+_binary64_2739` `distribute-lft-in_binary64_2755` `associate-+r+_binary64_2738`
24×	`cancel-sign-sub-inv_binary64_2772`
22×	`add-cube-cbrt_binary64_2841`
16×	`associate-*r/_binary64_2748`
12×	`difference-of-squares_binary64_2775`
10×	`flip3--_binary64_2810` `flip--_binary64_2781`
8×	`add-log-exp_binary64_2845` `frac-add_binary64_2814` `sub-neg_binary64_2799`
6×	`pow1_binary64_2867` `distribute-lft-out--_binary64_2758` `add-exp-log_binary64_2844`
4×	`log-div_binary64_2893` `add-cbrt-cube_binary64_2842`
2×	`log-pow_binary64_2895` `rem-log-exp_binary64_2847` `sum-log_binary64_2897` `flip3-+_binary64_2809` `flip-+_binary64_2780` `+-commutative_binary64_2736`

Counts

4 → 132

Calls

4 calls:

15.0ms	(+.f64 (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)) (.f64 y (-.f64 (log.f64 z) t)))
14.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
4.0ms	(log.f64 (-.f64 1 z))
4.0ms	(log.f64 (-.f64 1 z))

Compiler

Compiled 6294 to 3110 computations (50.6% saved)

series2.5s (12.6%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

1.2s	(+.f64 (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)) (.f64 y (-.f64 (log.f64 z) t)))
1.2s	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
29.0ms	(log.f64 (-.f64 1 z))
25.0ms	(log.f64 (-.f64 1 z))

Compiler

Compiled 5770 to 3782 computations (34.5% saved)

simplify639.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

451×	`associate-+l+_binary64_2739`
266×	`cancel-sign-sub-inv_binary64_2772`
192×	`distribute-lft-neg-out_binary64_2765`
191×	`distribute-rgt-in_binary64_2756`
184×	`distribute-lft-in_binary64_2755`
182×	`associate--r+_binary64_2742`
180×	`sub-neg_binary64_2799`
173×	`unsub-neg_binary64_2800` `distribute-rgt-neg-out_binary64_2766`
159×	`*-commutative_binary64_2737`
145×	`associate-l_binary64_2747` `associate-r_binary64_2746`
138×	`distribute-rgt-neg-in_binary64_2764`
104×	`associate-+r-_binary64_2740`
99×	`+-commutative_binary64_2736`
97×	`distribute-lft-neg-in_binary64_2763`
92×	`associate-+l-_binary64_2741`
86×	`distribute-neg-in_binary64_2767`
79×	`neg-sub0_binary64_2801` `associate--l+_binary64_2743`
67×	`neg-mul-1_binary64_2802`
58×	`distribute-rgt-out_binary64_2759`
56×	`exp-prod_binary64_2858` `associate-+r+_binary64_2738`
49×	`sqr-pow_binary64_2778`
26×	`pow-sqr_binary64_2779` `distribute-lft-out_binary64_2757`
25×	`distribute-rgt-out--_binary64_2760`
24×	`unswap-sqr_binary64_2774` `cancel-sign-sub_binary64_2771`
23×	`cube-prod_binary64_2834`
21×	`swap-sqr_binary64_2773` `associate--r-_binary64_2745`
19×	`exp-sum_binary64_2852`
17×	`log-prod_binary64_2892`
16×	`associate--l-_binary64_2744`
13×	`exp-diff_binary64_2854` `times-frac_binary64_2812`
12×	`unpow3_binary64_2872` `cube-mult_binary64_2836`
11×	`remove-double-neg_binary64_2794` `difference-of-squares_binary64_2775`
8×	`+-rgt-identity_binary64_2791`
7×	`log-div_binary64_2893` `exp-neg_binary64_2853` `mul-1-neg_binary64_2798` `distribute-lft-out--_binary64_2758` `count-2_binary64_2754`
6×	`distribute-neg-out_binary64_2768` `associate-/l*_binary64_2751`
5×	`log-pow_binary64_2895` `pow-plus_binary64_2869` `div-sub_binary64_2811` `*-lft-identity_binary64_2795` `distribute-rgt1-in_binary64_2762`
4×	`-rgt-identity_binary64_2796` `associate-/r_binary64_2750`
3×	`pow-base-1_binary64_2866` `prod-exp_binary64_2855` `cube-unmult_binary64_2843` `cube-neg_binary64_2833` `sqr-neg_binary64_2820` `rem-sqrt-square_binary64_2819` `/-rgt-identity_binary64_2797` `associate-*r/_binary64_2748`
2×	`log-rec_binary64_2894` `exp-to-pow_binary64_2868` `rem-3cbrt-lft_binary64_2831` `rem-square-sqrt_binary64_2818` `mul0-rgt_binary64_2789` `distribute-frac-neg_binary64_2769` `associate-*l/_binary64_2749`
1×	`div-exp_binary64_2857` `rec-exp_binary64_2856` `1-exp_binary64_2850` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `--rgt-identity_binary64_2792` `associate-/l/_binary64_2753`
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` `unpow2_binary64_2871` `unpow1/2_binary64_2870` `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` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `cube-div_binary64_2835` `rem-3cbrt-rft_binary64_2832` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `sub0-neg_binary64_2793` `+-lft-identity_binary64_2790` `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-lft1-in_binary64_2761` `associate-/r/_binary64_2752`

Counts

192 → 322

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	4668
1	762	4366
2	2409	4310

prune1.0s (5.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	322	0	322
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	322	3	325

Error

0.0b

Counts

325 → 3

Compiler

Compiled 17579 to 8499 computations (51.7% saved)

regimes739.0ms (3.8%)

Accuracy

Total 0.5b remaining (94%)

Threshold costs 0.5b (94%)

Compiler

Compiled 6968 to 6123 computations (12.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64_2737` `+-commutative_binary64_2736`
8×	`sub-neg_binary64_2799`
7×	`neg-sub0_binary64_2801`
6×	`neg-mul-1_binary64_2802`
3×	`unsub-neg_binary64_2800`
2×	`distribute-neg-out_binary64_2768`
1×	`mul-1-neg_binary64_2798` `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` `1-exp_binary64_2850` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `/-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-inv_binary64_2772` `cancel-sign-sub_binary64_2771` `distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-neg-in_binary64_2767`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	25
1	27	25
2	37	25
3	50	23
4	60	23
5	65	23
6	68	23
7	69	23

Proof

(* f64 h0 (exp f64 (+ f64 (* f64 h1 (- f64 (log f64 h2) h3)) (* f64 h4 (=> (- f64 (* f64 -1 h2) h5))))))
sub-neg_binary64_2799 =>
(* f64 h0 (exp f64 (+ f64 (* f64 h1 (- f64 (log f64 h2) h3)) (* f64 h4 (+ f64 (=> (* f64 -1 h2)) (neg f64 h5))))))
mul-1-neg_binary64_2798 =>
(* f64 h0 (exp f64 (+ f64 (* f64 h1 (- f64 (log f64 h2) h3)) (* f64 h4 (=> (+ f64 (neg f64 h2) (neg f64 h5)))))))
distribute-neg-out_binary64_2768 =>
(* f64 h0 (exp f64 (+ f64 (* f64 h1 (- f64 (log f64 h2) h3)) (=> (* f64 h4 (neg f64 (+ f64 h2 h5)))))))
distribute-rgt-neg-out_binary64_2766 =>
(* f64 h0 (exp f64 (=> (+ f64 (* f64 h1 (- f64 (log f64 h2) h3)) (neg f64 (* f64 h4 (+ f64 h2 h5)))))))
unsub-neg_binary64_2800 =>
(* f64 h0 (exp f64 (- f64 (* f64 h1 (- f64 (log f64 h2) h3)) (* f64 h4 (+ f64 h2 h5)))))

end0.0ms (0%)

sample4.1s (21.1%)

Algorithm

1×

intervals

Results

876.0ms	10445×	body	128	nan
632.0ms	7307×	body	128	valid
447.0ms	5184×	body	128	invalid
93.0ms	305×	body	512	valid
77.0ms	130×	body	1024	valid
49.0ms	257×	body	256	valid
30.0ms	96×	body	512	invalid
23.0ms	42×	body	1024	invalid
20.0ms	114×	body	256	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 768 to 675 computations (12.1% saved)

Details

analyze854.0ms (4.3%)

sample116.0ms (0.6%)

simplify287.0ms (1.5%)

prune6.0ms (0%)

localize15.0ms (0.1%)

rewrite207.0ms (1.1%)

series2.2s (11.2%)

simplify899.0ms (4.6%)

prune531.0ms (2.7%)

localize13.0ms (0.1%)

rewrite166.0ms (0.8%)

series1.8s (8.9%)

simplify918.0ms (4.7%)

prune523.0ms (2.7%)

localize8.0ms (0%)

rewrite115.0ms (0.6%)

series1.0s (5.2%)

simplify363.0ms (1.8%)

prune244.0ms (1.2%)

localize21.0ms (0.1%)

rewrite380.0ms (1.9%)

series2.5s (12.6%)

simplify639.0ms (3.3%)

prune1.0s (5.2%)

regimes739.0ms (3.8%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.1s (21.1%)

Profiling