Details

analyze652.0ms (3.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

756×	`neg-mul-1_binary64_2802`
741×	`neg-sub0_binary64_2801`
638×	`associate-/l*_binary64_2751`
470×	`distribute-frac-neg_binary64_2769`
468×	`div-sub_binary64_2811`
448×	`unsub-neg_binary64_2800`
352×	`sub-neg_binary64_2799`
260×	`distribute-rgt-in_binary64_2756`
256×	`times-frac_binary64_2812`
236×	`distribute-lft-neg-out_binary64_2765`
234×	`distribute-rgt-neg-out_binary64_2766`
198×	`distribute-lft-in_binary64_2755` `associate-*l/_binary64_2749`
187×	`associate-l_binary64_2747`
177×	`cancel-sign-sub-inv_binary64_2772`
173×	`associate-*r/_binary64_2748`
172×	`distribute-neg-frac_binary64_2770`
170×	`associate-r_binary64_2746`
155×	`associate-/r/_binary64_2752`
149×	`associate-/r*_binary64_2750`
122×	`*-lft-identity_binary64_2795`
117×	`associate-/l/_binary64_2753`
103×	`*-rgt-identity_binary64_2796`
97×	`*-commutative_binary64_2737`
90×	`remove-double-neg_binary64_2794`
82×	`distribute-rgt-neg-in_binary64_2764`
78×	`cancel-sign-sub_binary64_2771`
77×	`/-rgt-identity_binary64_2797`
53×	`div0_binary64_2787`
44×	`distribute-rgt-out_binary64_2759` `associate--r+_binary64_2742` `+-commutative_binary64_2736`
42×	`distribute-lft-neg-in_binary64_2763`
40×	`distribute-rgt-out--_binary64_2760`
34×	`+-lft-identity_binary64_2790`
32×	`associate-+l-_binary64_2741` `associate-+r+_binary64_2738`
29×	`distribute-neg-in_binary64_2767`
28×	`sub0-neg_binary64_2793` `distribute-neg-out_binary64_2768`
24×	`associate-+r-_binary64_2740`
22×	`associate-+l+_binary64_2739`
19×	`+-rgt-identity_binary64_2791`
17×	`remove-double-div_binary64_2782`
16×	`difference-of-squares_binary64_2775`
15×	`mul0-rgt_binary64_2789` `mul0-lft_binary64_2788`
12×	`distribute-lft-out_binary64_2757`
10×	`associate--r-_binary64_2745`
8×	`associate--l+_binary64_2743`
6×	`swap-sqr_binary64_2773`
4×	`associate--l-_binary64_2744`
3×	`sqr-neg_binary64_2820` `--rgt-identity_binary64_2792`
2×	`mul-1-neg_binary64_2798`
1×	`1-exp_binary64_2850`
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` `*-inverses_binary64_2786` `+-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` `unswap-sqr_binary64_2774` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `distribute-lft-out--_binary64_2758` `count-2_binary64_2754`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	208
1	161	200
2	483	200
3	1371	192
4	2735	192
5	3995	192
6	4316	192
7	4707	192
8	5013	192
0	3	3
1	3	3

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
12.5%	68.6%	18.9%	6
18.7%	62.4%	18.9%	7
18.7%	59.3%	22%	8
28.1%	39%	32.9%	9
32.8%	34.3%	32.9%	10
32.8%	32%	35.3%	11
38.2%	20.7%	41.1%	12
41%	17.9%	41.1%	13
41%	16.6%	42.5%	14

Compiler

Compiled 38 to 24 computations (36.8% saved)

sample60.0ms (0.4%)

Algorithm

1×

intervals

Results

42.0ms	246×	body	256	valid
2.0ms	30×	body	128	nan
1.0ms	10×	body	128	valid

Compiler

Compiled 75 to 50 computations (33.3% saved)

simplify231.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

637×	`associate-/l*_binary64_2751`
634×	`div-sub_binary64_2811`
582×	`unsub-neg_binary64_2800`
519×	`sub-neg_binary64_2799`
502×	`times-frac_binary64_2812`
356×	`distribute-rgt-out--_binary64_2760`
307×	`neg-mul-1_binary64_2802`
295×	`distribute-rgt-neg-in_binary64_2764`
286×	`associate-/l/_binary64_2753`
280×	`neg-sub0_binary64_2801`
252×	`associate-/r/_binary64_2752`
250×	`distribute-lft-neg-out_binary64_2765`
246×	`distribute-neg-out_binary64_2768`
212×	`associate-/r_binary64_2750` `-commutative_binary64_2737`
210×	`+-commutative_binary64_2736`
208×	`distribute-rgt-out_binary64_2759`
203×	`distribute-rgt-in_binary64_2756`
199×	`distribute-rgt-neg-out_binary64_2766`
186×	`distribute-neg-frac_binary64_2770`
160×	`associate-*r/_binary64_2748`
145×	`cancel-sign-sub-inv_binary64_2772`
137×	`associate-*l/_binary64_2749`
133×	`distribute-neg-in_binary64_2767`
123×	`distribute-lft-in_binary64_2755`
113×	`associate-+l+_binary64_2739`
106×	`distribute-lft-out--_binary64_2758`
100×	`distribute-frac-neg_binary64_2769`
98×	`associate-+l-_binary64_2741`
90×	`associate-l_binary64_2747`
81×	`associate-+r+_binary64_2738`
78×	`associate-r_binary64_2746` `associate--r-_binary64_2745`
63×	`associate--r+_binary64_2742`
59×	`distribute-lft-neg-in_binary64_2763`
46×	`*-lft-identity_binary64_2795`
44×	`associate-+r-_binary64_2740`
43×	`*-rgt-identity_binary64_2796` `distribute-lft-out_binary64_2757`
35×	`remove-double-neg_binary64_2794` `sub0-neg_binary64_2793`
34×	`associate--l+_binary64_2743`
27×	`mul0-rgt_binary64_2789` `swap-sqr_binary64_2773`
25×	`mul0-lft_binary64_2788`
24×	`distribute-rgt1-in_binary64_2762`
23×	`associate--l-_binary64_2744`
20×	`mul-1-neg_binary64_2798`
18×	`div0_binary64_2787`
14×	`cancel-sign-sub_binary64_2771`
9×	`+-lft-identity_binary64_2790`
6×	`+-rgt-identity_binary64_2791`
5×	`sqr-neg_binary64_2820`
4×	`/-rgt-identity_binary64_2797` `--rgt-identity_binary64_2792` `+-inverses_binary64_2785`
2×	`difference-of-squares_binary64_2775` `distribute-lft1-in_binary64_2761`
1×	`1-exp_binary64_2850`
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` `*-inverses_binary64_2786` `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_2777` `difference-of-sqr-1_binary64_2776` `unswap-sqr_binary64_2774` `count-2_binary64_2754`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	53	50
2	139	50
3	381	48
4	735	48
5	1189	48
6	1409	48
7	1893	48
8	1853	48
9	2235	48
10	2889	48
11	3457	48
12	3639	48
13	3749	48
14	3797	48
15	3821	48
16	3871	48
17	4858	48
18	4799	48
19	4980	48
20	4834	48

prune7.0ms (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

37.2b

Counts

2 → 2

Compiler

Compiled 99 to 59 computations (40.4% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.0b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
9.7b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
30.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite220.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

32.8b

Rules

14×	`add-sqr-sqrt_binary64_2828`
11×	`cbrt-prod_binary64_2837`
10×	`*-un-lft-identity_binary64_2806`
9×	`sqrt-prod_binary64_2822`
8×	`add-cube-cbrt_binary64_2841`
6×	`pow1_binary64_2867` `times-frac_binary64_2812`
4×	`add-log-exp_binary64_2845` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `sqrt-div_binary64_2823` `difference-of-squares_binary64_2775`
2×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `flip3--_binary64_2810` `flip--_binary64_2781` `rem-sqrt-square_binary64_2819` `pow1/3_binary64_2888` `cbrt-div_binary64_2838`
1×	`distribute-lft-out--_binary64_2758` `div-inv_binary64_2803` `associate-*l/_binary64_2749`

Counts

4 → 61

Calls

4 calls:

9.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
9.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2345 to 702 computations (70.1% saved)

series1.8s (10.9%)

Error

33.1b

Counts

4 → 42

Calls

4 calls:

900.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
622.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
107.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
107.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4372 to 3208 computations (26.6% saved)

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

855×	`times-frac_binary64_2812`
428×	`associate-/l*_binary64_2751`
338×	`associate-l_binary64_2747`
321×	`associate-/r*_binary64_2750`
98×	`associate-*l/_binary64_2749`
90×	`associate-*r/_binary64_2748`
86×	`sub-neg_binary64_2799`
82×	`*-commutative_binary64_2737`
80×	`distribute-rgt-in_binary64_2756`
77×	`distribute-lft-in_binary64_2755`
76×	`associate-/r/_binary64_2752`
65×	`associate-r_binary64_2746`
62×	`sqr-pow_binary64_2778`
61×	`exp-sum_binary64_2852`
59×	`cancel-sign-sub-inv_binary64_2772`
46×	`exp-prod_binary64_2858` `unswap-sqr_binary64_2774`
41×	`distribute-rgt-neg-in_binary64_2764`
37×	`distribute-lft-neg-in_binary64_2763` `+-commutative_binary64_2736`
33×	`div-sub_binary64_2811`
31×	`neg-sub0_binary64_2801`
29×	`exp-diff_binary64_2854`
28×	`neg-mul-1_binary64_2802`
21×	`distribute-neg-frac_binary64_2770`
17×	`log-div_binary64_2893` `unsub-neg_binary64_2800`
15×	`distribute-lft-neg-out_binary64_2765`
13×	`unpow1/3_binary64_2873` `pow-sqr_binary64_2779`
11×	`difference-of-squares_binary64_2775` `distribute-rgt-neg-out_binary64_2766` `distribute-rgt-out_binary64_2759` `associate-+l-_binary64_2741`
10×	`log-prod_binary64_2892`
9×	`exp-to-pow_binary64_2868` `associate-+l+_binary64_2739`
8×	`distribute-neg-in_binary64_2767` `associate-+r-_binary64_2740` `associate-+r+_binary64_2738`
5×	`cube-unmult_binary64_2843`
4×	`unpow3_binary64_2872` `exp-neg_binary64_2853` `cube-prod_binary64_2834` `associate--r-_binary64_2745` `associate--l-_binary64_2744`
3×	`log-pow_binary64_2895` `log-rec_binary64_2894` `pow-plus_binary64_2869` `cube-mult_binary64_2836` `rem-sqrt-square_binary64_2819` `mul-1-neg_binary64_2798`
2×	`unpow2_binary64_2871` `unpow1/2_binary64_2870` `unpow1_binary64_2864` `rem-3cbrt-lft_binary64_2831` `remove-double-neg_binary64_2794` `distribute-lft-out_binary64_2757` `associate--r+_binary64_2742`
1×	`exp-lft-sqr_binary64_2861` `1-exp_binary64_2850` `rem-square-sqrt_binary64_2818` `+-rgt-identity_binary64_2791`
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` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `div-exp_binary64_2857` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-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` `-rgt-identity_binary64_2796` `-lft-identity_binary64_2795` `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` `swap-sqr_binary64_2773` `cancel-sign-sub_binary64_2771` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `distribute-rgt-out--_binary64_2760` `distribute-lft-out--_binary64_2758` `count-2_binary64_2754` `associate-/l/_binary64_2753` `associate--l+_binary64_2743`

Counts

103 → 62

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	2515
1	506	2467
2	1262	2406
3	5028	2406

prune187.0ms (1.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	48	14	62
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	49	15	64

Error

32.8b

Counts

64 → 15

Compiler

Compiled 2522 to 1170 computations (53.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.8b	(-.f64 (.f64 g g) (.f64 h h))
8.0b	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
30.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite574.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

32.8b

Rules

8×	`add-sqr-sqrt_binary64_2828` `sqrt-prod_binary64_2822`
6×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `sqrt-div_binary64_2823`
3×	`flip3--_binary64_2810` `flip--_binary64_2781` `difference-of-squares_binary64_2775`
2×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819`
1×	`pow1/3_binary64_2888` `associate-*l/_binary64_2749` `cbrt-div_binary64_2838` `cbrt-prod_binary64_2837` `diff-log_binary64_2898` `sub-neg_binary64_2799` `cancel-sign-sub-inv_binary64_2772`

Counts

4 → 55

Calls

4 calls:

9.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2164 to 675 computations (68.8% saved)

series1.1s (6.3%)

Error

31.9b

Counts

4 → 41

Calls

4 calls:

592.0ms	(cbrt.f64 (.f64 (/.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) a) -1/2))
149.0ms	(-.f64 (.f64 g g) (.f64 h h))
112.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
108.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 3291 to 2398 computations (27.1% saved)

simplify169.0ms (1%)

Algorithm

1×	egg-herbie

Rules

302×	`exp-sum_binary64_2852`
300×	`cancel-sign-sub-inv_binary64_2772`
250×	`unswap-sqr_binary64_2774`
219×	`exp-prod_binary64_2858`
203×	`associate-r_binary64_2746`
202×	`associate-l_binary64_2747`
180×	`exp-diff_binary64_2854`
162×	`sub-neg_binary64_2799`
131×	`distribute-neg-frac_binary64_2770`
120×	`log-prod_binary64_2892`
115×	`distribute-rgt-in_binary64_2756`
114×	`*-commutative_binary64_2737`
112×	`distribute-lft-in_binary64_2755`
110×	`sqr-pow_binary64_2778`
97×	`unsub-neg_binary64_2800`
96×	`times-frac_binary64_2812`
94×	`div-sub_binary64_2811`
85×	`associate-/l*_binary64_2751`
73×	`neg-sub0_binary64_2801`
66×	`log-div_binary64_2893`
63×	`neg-mul-1_binary64_2802`
51×	`log-pow_binary64_2895` `+-commutative_binary64_2736`
50×	`associate-/r*_binary64_2750`
43×	`associate-+r-_binary64_2740`
42×	`exp-to-pow_binary64_2868`
40×	`distribute-rgt-neg-in_binary64_2764`
39×	`difference-of-squares_binary64_2775`
36×	`unpow1/3_binary64_2873`
35×	`distribute-lft-neg-in_binary64_2763`
31×	`pow-plus_binary64_2869`
26×	`associate-*l/_binary64_2749`
24×	`associate-*r/_binary64_2748`
23×	`pow-sqr_binary64_2779` `associate-+l-_binary64_2741`
22×	`associate-+r+_binary64_2738`
20×	`associate-+l+_binary64_2739`
19×	`rem-exp-log_binary64_2846`
18×	`unpow3_binary64_2872`
17×	`associate--r-_binary64_2745`
15×	`swap-sqr_binary64_2773`
14×	`distribute-lft-neg-out_binary64_2765`
13×	`cube-unmult_binary64_2843`
12×	`+-rgt-identity_binary64_2791`
11×	`sub0-neg_binary64_2793` `distribute-rgt-out_binary64_2759` `associate-/r/_binary64_2752`
10×	`exp-neg_binary64_2853` `cube-prod_binary64_2834` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788`
9×	`distribute-rgt-neg-out_binary64_2766`
8×	`mul-1-neg_binary64_2798`
7×	`associate--l-_binary64_2744` `associate--l+_binary64_2743` `associate--r+_binary64_2742`
6×	`log-rec_binary64_2894` `div-exp_binary64_2857` `prod-exp_binary64_2855` `--rgt-identity_binary64_2792`
5×	`cube-mult_binary64_2836` `distribute-neg-in_binary64_2767`
4×	`rem-sqrt-square_binary64_2819`
3×	`unpow2_binary64_2871` `remove-double-neg_binary64_2794`
2×	`unpow1/2_binary64_2870` `unpow1_binary64_2864` `distribute-lft-out_binary64_2757`
1×	`pow-base-1_binary64_2866` `unpow-1_binary64_2863` `1-exp_binary64_2850` `rem-3cbrt-lft_binary64_2831` `sqr-neg_binary64_2820` `rem-square-sqrt_binary64_2818` `*-lft-identity_binary64_2795` `count-2_binary64_2754`
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` `unpow0_binary64_2865` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `rec-exp_binary64_2856` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `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` `/-rgt-identity_binary64_2797` `-rgt-identity_binary64_2796` `+-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-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `distribute-rgt-out--_binary64_2760` `distribute-lft-out--_binary64_2758` `associate-/l/_binary64_2753`

Counts

96 → 63

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	152	1568
1	321	1487
2	765	1475
3	2688	1431
4	4583	1427
5	4911	1427
6	4926	1427
7	4982	1427
8	4897	1427

prune235.0ms (1.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	2	12	14
Picked	1	0	1
Done	0	0	0
Total	63	15	78

Error

31.8b

Counts

78 → 15

Compiler

Compiled 2166 to 971 computations (55.2% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.8b	(-.f64 (.f64 g g) (.f64 h h))
9.7b	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
30.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite278.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

31.7b

Rules

14×	`add-sqr-sqrt_binary64_2828`
10×	`*-un-lft-identity_binary64_2806` `cbrt-prod_binary64_2837`
9×	`sqrt-prod_binary64_2822`
8×	`add-cube-cbrt_binary64_2841`
6×	`pow1_binary64_2867` `add-log-exp_binary64_2845` `times-frac_binary64_2812`
5×	`difference-of-squares_binary64_2775`
4×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `sqrt-div_binary64_2823`
3×	`flip3--_binary64_2810` `flip--_binary64_2781`
2×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `rem-sqrt-square_binary64_2819`
1×	`pow1/3_binary64_2888` `cbrt-div_binary64_2838` `distribute-lft-out--_binary64_2758` `div-inv_binary64_2803` `diff-log_binary64_2898` `sub-neg_binary64_2799` `cancel-sign-sub-inv_binary64_2772`

Counts

4 → 64

Calls

4 calls:

9.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
5.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(-.f64 (.f64 g g) (.f64 h h))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2504 to 788 computations (68.5% saved)

series1.4s (8.3%)

Error

31.8b

Counts

4 → 45

Calls

4 calls:

892.0ms	(cbrt.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (*.f64 2 a)))
154.0ms	(-.f64 (.f64 g g) (.f64 h h))
113.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
107.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4065 to 2980 computations (26.7% saved)

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

856×	`times-frac_binary64_2812`
425×	`associate-/l*_binary64_2751`
381×	`associate-l_binary64_2747`
321×	`associate-/r*_binary64_2750`
116×	`distribute-rgt-in_binary64_2756`
113×	`distribute-lft-in_binary64_2755`
97×	`associate-*l/_binary64_2749`
90×	`associate-*r/_binary64_2748`
75×	`sub-neg_binary64_2799`
73×	`associate-/r/_binary64_2752`
68×	`associate-r_binary64_2746`
66×	`*-commutative_binary64_2737`
53×	`sqr-pow_binary64_2778`
51×	`unswap-sqr_binary64_2774`
50×	`cancel-sign-sub-inv_binary64_2772`
46×	`exp-sum_binary64_2852`
44×	`exp-prod_binary64_2858`
41×	`distribute-rgt-neg-in_binary64_2764`
35×	`distribute-lft-neg-in_binary64_2763`
31×	`+-commutative_binary64_2736`
30×	`neg-sub0_binary64_2801`
28×	`neg-mul-1_binary64_2802`
23×	`div-sub_binary64_2811`
22×	`exp-diff_binary64_2854`
21×	`distribute-neg-frac_binary64_2770`
17×	`log-div_binary64_2893` `distribute-lft-neg-out_binary64_2765`
13×	`log-prod_binary64_2892`
12×	`pow-sqr_binary64_2779` `distribute-rgt-neg-out_binary64_2766`
11×	`unsub-neg_binary64_2800` `difference-of-squares_binary64_2775` `distribute-rgt-out_binary64_2759`
8×	`unpow1/3_binary64_2873` `associate-+l+_binary64_2739`
7×	`exp-to-pow_binary64_2868` `distribute-neg-in_binary64_2767` `associate-+l-_binary64_2741` `associate-+r+_binary64_2738`
6×	`cube-prod_binary64_2834` `associate-+r-_binary64_2740`
5×	`cube-unmult_binary64_2843`
4×	`unpow3_binary64_2872` `pow-plus_binary64_2869` `exp-neg_binary64_2853` `swap-sqr_binary64_2773`
3×	`log-pow_binary64_2895` `log-rec_binary64_2894` `cube-mult_binary64_2836` `rem-sqrt-square_binary64_2819` `mul-1-neg_binary64_2798` `associate--r-_binary64_2745` `associate--l-_binary64_2744`
2×	`unpow2_binary64_2871` `unpow1/2_binary64_2870` `unpow1_binary64_2864` `+-rgt-identity_binary64_2791` `distribute-lft-out_binary64_2757` `associate--r+_binary64_2742`
1×	`exp-lft-sqr_binary64_2861` `div-exp_binary64_2857` `1-exp_binary64_2850` `rem-3cbrt-lft_binary64_2831` `rem-square-sqrt_binary64_2818` `remove-double-neg_binary64_2794` `count-2_binary64_2754`
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` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-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` `-rgt-identity_binary64_2796` `-lft-identity_binary64_2795` `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` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `distribute-rgt-out--_binary64_2760` `distribute-lft-out--_binary64_2758` `associate-/l/_binary64_2753` `associate--l+_binary64_2743`

Counts

109 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	2336
1	439	2265
2	1165	2215
3	5142	2215

prune229.0ms (1.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	2	12	14
Picked	1	0	1
Done	0	0	0
Total	64	16	80

Error

31.7b

Counts

80 → 16

Compiler

Compiled 2364 to 1141 computations (51.7% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.0b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
9.7b	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
30.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
30.7b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite346.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

31.7b

Rules

10×	`cbrt-div_binary64_2838`
8×	`add-sqr-sqrt_binary64_2828` `sqrt-prod_binary64_2822`
6×	`pow1_binary64_2867` `add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
4×	`add-log-exp_binary64_2845` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `flip3--_binary64_2810` `sqrt-div_binary64_2823` `flip--_binary64_2781` `frac-times_binary64_2816` `associate-*r/_binary64_2748`
2×	`pow1/2_binary64_2886` `sqrt-pow1_binary64_2824` `difference-of-squares_binary64_2775` `rem-sqrt-square_binary64_2819` `pow1/3_binary64_2888` `flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-*l/_binary64_2749` `cbrt-prod_binary64_2837`

Counts

4 → 60

Calls

4 calls:

17.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
15.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
4.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 2902 to 1013 computations (65.1% saved)

series1.9s (11.1%)

Error

31.7b

Counts

4 → 42

Calls

4 calls:

879.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
602.0ms	(cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))
117.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
112.0ms	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 4834 to 3608 computations (25.4% saved)

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

729×	`associate-/l*_binary64_2751`
274×	`distribute-rgt-in_binary64_2756`
269×	`distribute-lft-in_binary64_2755`
129×	`associate-r_binary64_2746`
123×	`cancel-sign-sub-inv_binary64_2772` `distribute-rgt-neg-out_binary64_2766`
118×	`distribute-lft-neg-out_binary64_2765`
114×	`sub-neg_binary64_2799` `*-commutative_binary64_2737`
104×	`associate-l_binary64_2747`
103×	`div-sub_binary64_2811`
94×	`times-frac_binary64_2812`
90×	`associate-/r/_binary64_2752`
78×	`distribute-rgt-neg-in_binary64_2764`
75×	`unsub-neg_binary64_2800`
68×	`distribute-frac-neg_binary64_2769` `distribute-lft-neg-in_binary64_2763`
67×	`sqr-pow_binary64_2778`
63×	`exp-sum_binary64_2852`
62×	`neg-sub0_binary64_2801`
56×	`unswap-sqr_binary64_2774`
55×	`neg-mul-1_binary64_2802`
50×	`exp-prod_binary64_2858`
48×	`associate-/r*_binary64_2750`
44×	`distribute-neg-out_binary64_2768` `+-commutative_binary64_2736`
39×	`distribute-rgt-out_binary64_2759`
30×	`associate-*l/_binary64_2749`
28×	`exp-diff_binary64_2854`
26×	`associate-*r/_binary64_2748`
24×	`difference-of-squares_binary64_2775`
23×	`log-prod_binary64_2892`
20×	`distribute-neg-in_binary64_2767`
19×	`log-div_binary64_2893` `cube-prod_binary64_2834` `distribute-lft-out_binary64_2757`
17×	`*-lft-identity_binary64_2795`
16×	`distribute-neg-frac_binary64_2770` `associate-+l-_binary64_2741`
14×	`pow-sqr_binary64_2779` `associate-+l+_binary64_2739`
13×	`unpow1/3_binary64_2873` `*-rgt-identity_binary64_2796`
12×	`distribute-rgt-out--_binary64_2760` `associate-+r+_binary64_2738`
11×	`associate-+r-_binary64_2740`
10×	`exp-to-pow_binary64_2868`
7×	`unpow3_binary64_2872`
6×	`remove-double-neg_binary64_2794` `swap-sqr_binary64_2773` `associate--r-_binary64_2745` `associate--l-_binary64_2744`
5×	`cube-unmult_binary64_2843` `cube-mult_binary64_2836`
4×	`pow-plus_binary64_2869` `exp-neg_binary64_2853` `cube-neg_binary64_2833` `mul-1-neg_binary64_2798`
3×	`log-pow_binary64_2895` `log-rec_binary64_2894` `sqr-neg_binary64_2820` `associate--r+_binary64_2742`
2×	`unpow2_binary64_2871` `unpow1/2_binary64_2870` `unpow1_binary64_2864` `rem-3cbrt-lft_binary64_2831` `rem-sqrt-square_binary64_2819` `sub0-neg_binary64_2793` `cancel-sign-sub_binary64_2771`
1×	`exp-lft-sqr_binary64_2861` `1-exp_binary64_2850` `rem-square-sqrt_binary64_2818` `/-rgt-identity_binary64_2797` `--rgt-identity_binary64_2792` `+-rgt-identity_binary64_2791` `+-inverses_binary64_2785` `distribute-rgt1-in_binary64_2762` `distribute-lft-out--_binary64_2758` `associate-/l/_binary64_2753` `associate--l+_binary64_2743`
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` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `div-exp_binary64_2857` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `e-exp-1_binary64_2851` `exp-1-e_binary64_2849` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-div_binary64_2835` `rem-3cbrt-rft_binary64_2832` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `+-lft-identity_binary64_2790` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `div0_binary64_2787` `*-inverses_binary64_2786` `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-lft1-in_binary64_2761` `count-2_binary64_2754`

Counts

102 → 74

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	2553
1	612	2515
2	1893	2394
3	5151	2394

prune317.0ms (1.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	5	10	15
Picked	1	0	1
Done	0	0	0
Total	74	16	90

Error

31.5b

Counts

90 → 16

Compiler

Compiled 2883 to 1243 computations (56.9% saved)

regimes4.6s (27.2%)

Accuracy

Total 1.7b remaining (5.5%)

Threshold costs 0b (0%)

Compiler

Compiled 57585 to 36181 computations (37.2% saved)

bsearch20.0ms (0.1%)

Compiler: Compiled 37 to 23 computations (37.8% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	327
1	76	327
2	87	327
3	101	327
4	110	321
5	117	321
6	120	321
7	121	321
8	119	321

end8.0ms (0%)

Compiler: Compiled 206 to 88 computations (57.3% saved)

sample2.2s (13.2%)

Algorithm

1×

intervals

Results

1.2s	7589×	body	256	valid
93.0ms	1212×	body	128	nan
34.0ms	411×	body	128	valid

Compiler

Compiled 829 to 486 computations (41.4% saved)

Iter	Nodes	Cost
0	56	327
1	76	327
2	87	327
3	101	327
4	110	321
5	117	321
6	120	321
7	121	321
8	119	321

Iter	Nodes	Cost
0	56	327
1	76	327
2	87	327
3	101	327
4	110	321
5	117	321
6	120	321
7	121	321
8	119	321

Details

analyze652.0ms (3.9%)

sample60.0ms (0.4%)

simplify231.0ms (1.4%)

prune7.0ms (0%)

localize20.0ms (0.1%)

rewrite220.0ms (1.3%)

series1.8s (10.9%)

simplify76.0ms (0.5%)

prune187.0ms (1.1%)

localize22.0ms (0.1%)

rewrite574.0ms (3.4%)

series1.1s (6.3%)

simplify169.0ms (1%)

prune235.0ms (1.4%)

localize20.0ms (0.1%)

rewrite278.0ms (1.6%)

series1.4s (8.3%)

simplify77.0ms (0.5%)

prune229.0ms (1.4%)

localize20.0ms (0.1%)

rewrite346.0ms (2%)

series1.9s (11.1%)

simplify86.0ms (0.5%)

prune317.0ms (1.9%)

regimes4.6s (27.2%)

bsearch20.0ms (0.1%)

simplify15.0ms (0.1%)

end8.0ms (0%)

sample2.2s (13.2%)

Profiling

Iter	Nodes	Cost
0	56	327
1	76	327
2	87	327
3	101	327
4	110	321
5	117	321
6	120	321
7	121	321
8	119	321