Details

analyze2.9s (10.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

362×	`cancel-sign-sub-inv_binary64_2772`
284×	`unsub-neg_binary64_2800`
282×	`distribute-rgt-neg-in_binary64_2764`
250×	`distribute-rgt-in_binary64_2756`
237×	`sub-neg_binary64_2799`
209×	`distribute-lft-in_binary64_2755`
192×	`neg-mul-1_binary64_2802`
188×	`distribute-lft-neg-in_binary64_2763`
170×	`associate-r_binary64_2746`
169×	`neg-sub0_binary64_2801`
149×	`distribute-rgt-neg-out_binary64_2766`
146×	`distribute-lft-neg-out_binary64_2765`
134×	`associate--r+_binary64_2742`
124×	`*-commutative_binary64_2737`
109×	`associate-l_binary64_2747`
94×	`+-commutative_binary64_2736`
74×	`associate-+l-_binary64_2741`
73×	`mul0-rgt_binary64_2789` `mul0-lft_binary64_2788`
68×	`distribute-neg-in_binary64_2767`
67×	`remove-double-neg_binary64_2794`
58×	`sub0-neg_binary64_2793`
33×	`--rgt-identity_binary64_2792`
28×	`*-lft-identity_binary64_2795`
22×	`+-lft-identity_binary64_2790` `cancel-sign-sub_binary64_2771`
20×	`sin-neg_binary64_2936` `associate--r-_binary64_2745`
19×	`associate-+l+_binary64_2739`
18×	`associate-+r+_binary64_2738`
13×	`associate-+r-_binary64_2740`
12×	`associate--l+_binary64_2743`
11×	`cos-neg_binary64_2937`
10×	`+-rgt-identity_binary64_2791` `distribute-rgt-out--_binary64_2760`
6×	`*-rgt-identity_binary64_2796`
2×	`distribute-neg-out_binary64_2768` `associate--l-_binary64_2744`
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` `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` `sqr-neg_binary64_2820` `rem-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `times-frac_binary64_2812` `div-sub_binary64_2811` `mul-1-neg_binary64_2798` `/-rgt-identity_binary64_2797` `div0_binary64_2787` `-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_2777` `difference-of-sqr-1_binary64_2776` `difference-of-squares_binary64_2775` `unswap-sqr_binary64_2774` `swap-sqr_binary64_2773` `distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761` `distribute-rgt-out_binary64_2759` `distribute-lft-out--_binary64_2758` `distribute-lft-out_binary64_2757` `count-2_binary64_2754` `associate-/l/_binary64_2753` `associate-/r/_binary64_2752` `associate-/l_binary64_2751` `associate-/r_binary64_2750` `associate-l/_binary64_2749` `associate-*r/_binary64_2748`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	273
1	151	273
2	316	273
3	606	273
4	711	273
5	1003	273
6	1138	273
7	1521	273
8	1681	273
9	1761	273
10	1811	273
11	1816	273
12	1816	273
13	2112	273
14	1872	273
15	1872	273
16	1872	273
17	1713	273
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
7.8%	92%	0.2%	9
7.8%	92%	0.2%	10
10.1%	89.7%	0.2%	11
10.1%	89.7%	0.2%	12
13.9%	85.9%	0.2%	13
13.9%	85.9%	0.2%	14

Compiler

Compiled 25 to 18 computations (28% saved)

sample218.0ms (0.8%)

Algorithm

1×

intervals

Results

147.0ms	173×	body	1024	valid
20.0ms	11×	body	2048	valid
19.0ms	34×	body	512	valid
10.0ms	28×	body	128	valid
4.0ms	10×	body	256	valid

Compiler

Compiled 49 to 39 computations (20.4% saved)

simplify25.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

83×	`cancel-sign-sub-inv_binary64_2772`
59×	`distribute-rgt-neg-in_binary64_2764`
56×	`sub-neg_binary64_2799`
47×	`distribute-rgt-in_binary64_2756`
42×	`unsub-neg_binary64_2800`
41×	`neg-mul-1_binary64_2802`
35×	`neg-sub0_binary64_2801`
34×	`distribute-lft-neg-in_binary64_2763` `distribute-lft-in_binary64_2755`
28×	`distribute-lft-neg-out_binary64_2765` `associate--r+_binary64_2742`
25×	`associate-r_binary64_2746`
23×	`*-commutative_binary64_2737`
21×	`+-commutative_binary64_2736`
18×	`+-lft-identity_binary64_2790` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `distribute-neg-in_binary64_2767` `distribute-rgt-neg-out_binary64_2766`
16×	`associate-+l-_binary64_2741`
14×	`sub0-neg_binary64_2793`
13×	`associate-l_binary64_2747`
12×	`remove-double-neg_binary64_2794`
10×	`*-lft-identity_binary64_2795`
8×	`--rgt-identity_binary64_2792` `associate--r-_binary64_2745`
6×	`associate-+l+_binary64_2739`
4×	`*-rgt-identity_binary64_2796`
3×	`sin-neg_binary64_2936`
2×	`cos-neg_binary64_2937` `+-rgt-identity_binary64_2791` `associate--l+_binary64_2743` `associate-+r-_binary64_2740` `associate-+r+_binary64_2738`
1×	`1-exp_binary64_2850` `cancel-sign-sub_binary64_2771`
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` `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` `sqr-neg_binary64_2820` `rem-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `times-frac_binary64_2812` `div-sub_binary64_2811` `mul-1-neg_binary64_2798` `/-rgt-identity_binary64_2797` `div0_binary64_2787` `-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_2777` `difference-of-sqr-1_binary64_2776` `difference-of-squares_binary64_2775` `unswap-sqr_binary64_2774` `swap-sqr_binary64_2773` `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` `distribute-rgt-out--_binary64_2760` `distribute-rgt-out_binary64_2759` `distribute-lft-out--_binary64_2758` `distribute-lft-out_binary64_2757` `count-2_binary64_2754` `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

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

12.1b

Counts

2 → 1

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.3b	(sin.f64 (-.f64 lambda1 lambda2))
2.5b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite143.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

6.9b

Rules

11×	`add-sqr-sqrt_binary64_2828` `pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
9×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
6×	`cancel-sign-sub-inv_binary64_2772` `associate-r_binary64_2746`
4×	`cos-sum_binary64_2940` `add-log-exp_binary64_2845` `sin-sum_binary64_2939` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-l_binary64_2747`
3×	`cos-diff_binary64_2943`
2×	`sub-neg_binary64_2799` `*-commutative_binary64_2737`
1×	`sin-diff_binary64_2942` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `sin-cos-mult_binary64_2962` `associate-*l/_binary64_2749` `unswap-sqr_binary64_2774`

Counts

4 → 63

Calls

4 calls:

7.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
4.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 2012 to 363 computations (82% saved)

series998.0ms (3.8%)

Error

9.6b

Counts

4 → 52

Calls

4 calls:

594.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
160.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
82.0ms	(cos.f64 (-.f64 lambda1 lambda2))
79.0ms	(sin.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 3944 to 1911 computations (51.5% saved)

simplify123.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

548×	`distribute-rgt-neg-in_binary64_2764`
503×	`sub-neg_binary64_2799`
470×	`distribute-lft-neg-in_binary64_2763`
400×	`cancel-sign-sub-inv_binary64_2772`
319×	`neg-mul-1_binary64_2802`
312×	`associate-r_binary64_2746`
303×	`associate-l_binary64_2747`
296×	`neg-sub0_binary64_2801`
198×	`*-commutative_binary64_2737`
116×	`distribute-rgt-out--_binary64_2760`
111×	`unsub-neg_binary64_2800`
107×	`distribute-rgt-out_binary64_2759`
106×	`sqr-pow_binary64_2778`
90×	`+-commutative_binary64_2736`
75×	`distribute-lft-out_binary64_2757`
73×	`distribute-lft-neg-out_binary64_2765`
58×	`distribute-rgt-neg-out_binary64_2766`
54×	`associate-+l-_binary64_2741`
52×	`distribute-lft-out--_binary64_2758`
51×	`unswap-sqr_binary64_2774`
47×	`associate-+r-_binary64_2740`
45×	`cube-prod_binary64_2834`
41×	`associate--l+_binary64_2743`
39×	`cancel-sign-sub_binary64_2771`
37×	`exp-prod_binary64_2858`
36×	`associate-+l+_binary64_2739`
33×	`log-prod_binary64_2892` `+-rgt-identity_binary64_2791`
31×	`*-rgt-identity_binary64_2796` `sub0-neg_binary64_2793`
30×	`swap-sqr_binary64_2773` `associate-+r+_binary64_2738`
28×	`remove-double-neg_binary64_2794`
26×	`*-lft-identity_binary64_2795`
23×	`associate--r+_binary64_2742`
18×	`cube-unmult_binary64_2843`
17×	`pow-sqr_binary64_2779`
15×	`unpow3_binary64_2872`
13×	`distribute-neg-in_binary64_2767` `distribute-rgt1-in_binary64_2762` `distribute-rgt-in_binary64_2756`
12×	`rem-sqrt-square_binary64_2819`
9×	`unpow1/2_binary64_2870`
8×	`distribute-neg-out_binary64_2768`
7×	`associate--l-_binary64_2744`
6×	`sin-neg_binary64_2936` `pow-plus_binary64_2869` `cube-mult_binary64_2836` `difference-of-squares_binary64_2775`
5×	`cos-neg_binary64_2937` `distribute-lft1-in_binary64_2761` `distribute-lft-in_binary64_2755`
4×	`unpow2_binary64_2871` `unpow1_binary64_2864`
3×	`mul0-rgt_binary64_2789` `mul0-lft_binary64_2788`
2×	`exp-sum_binary64_2852`
1×	`1-exp_binary64_2850` `exp-1-e_binary64_2849` `cube-neg_binary64_2833` `rem-3cbrt-lft_binary64_2831` `sqr-neg_binary64_2820` `rem-square-sqrt_binary64_2818`
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` `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` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `div-exp_binary64_2857` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `exp-diff_binary64_2854` `exp-neg_binary64_2853` `e-exp-1_binary64_2851` `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` `times-frac_binary64_2812` `div-sub_binary64_2811` `mul-1-neg_binary64_2798` `/-rgt-identity_binary64_2797` `--rgt-identity_binary64_2792` `+-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` `distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `count-2_binary64_2754` `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--r-_binary64_2745`

Counts

115 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	248	2043
1	631	1817
2	1837	1730
3	3176	1705
4	4745	1705
5	5092	1705

prune147.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	65	12	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	12	78

Error

6.9b

Counts

78 → 12

Compiler

Compiled 2674 to 643 computations (76% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
2.5b	(cos.f64 (-.f64 lambda1 lambda2))

rewrite163.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`add-sqr-sqrt_binary64_2828`
13×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
10×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
9×	`associate-r_binary64_2746`
7×	`associate-l_binary64_2747`
5×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
4×	`cos-sum_binary64_2940` `add-log-exp_binary64_2845`
3×	`cos-diff_binary64_2943` `cancel-sign-sub-inv_binary64_2772` `associate-l/_binary64_2749` `-commutative_binary64_2737`
2×	`unswap-sqr_binary64_2774`
1×	`sub-neg_binary64_2799` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `sin-cos-mult_binary64_2962` `flip3--_binary64_2810` `flip--_binary64_2781`

Counts

4 → 71

Calls

4 calls:

7.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
7.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
5.0ms	(cos.f64 (-.f64 lambda1 lambda2))
4.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

Compiler

Compiled 2860 to 385 computations (86.5% saved)

series1.6s (6%)

Error

6.5b

Counts

4 → 60

Calls

4 calls:

606.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
601.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))
168.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
91.0ms	(cos.f64 (-.f64 lambda1 lambda2))

Compiler

Compiled 5625 to 2695 computations (52.1% saved)

simplify162.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

767×	`cancel-sign-sub-inv_binary64_2772`
467×	`associate-r_binary64_2746`
449×	`associate-l_binary64_2747`
403×	`distribute-rgt-neg-in_binary64_2764`
357×	`distribute-lft-neg-in_binary64_2763`
328×	`neg-mul-1_binary64_2802`
327×	`neg-sub0_binary64_2801`
276×	`*-commutative_binary64_2737`
231×	`sub-neg_binary64_2799`
152×	`sqr-pow_binary64_2778`
128×	`unsub-neg_binary64_2800`
95×	`+-commutative_binary64_2736`
74×	`exp-prod_binary64_2858`
63×	`distribute-lft-neg-out_binary64_2765`
59×	`associate--l+_binary64_2743`
51×	`cube-prod_binary64_2834`
46×	`associate--r+_binary64_2742`
44×	`distribute-neg-in_binary64_2767`
41×	`*-rgt-identity_binary64_2796`
39×	`log-prod_binary64_2892`
35×	`distribute-rgt-neg-out_binary64_2766`
34×	`*-lft-identity_binary64_2795`
33×	`associate-+l+_binary64_2739`
31×	`swap-sqr_binary64_2773`
22×	`remove-double-neg_binary64_2794`
21×	`pow-sqr_binary64_2779` `unswap-sqr_binary64_2774`
19×	`associate-+r+_binary64_2738`
18×	`unpow3_binary64_2872` `cube-unmult_binary64_2843`
13×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
12×	`cube-mult_binary64_2836`
11×	`exp-sum_binary64_2852`
7×	`unpow1/2_binary64_2870`
6×	`distribute-rgt-out_binary64_2759`
5×	`pow-plus_binary64_2869` `exp-diff_binary64_2854` `difference-of-squares_binary64_2775` `cancel-sign-sub_binary64_2771` `distribute-rgt-out--_binary64_2760`
4×	`cos-neg_binary64_2937` `sin-neg_binary64_2936` `unpow2_binary64_2871` `unpow1_binary64_2864` `exp-neg_binary64_2853` `rem-sqrt-square_binary64_2819`
3×	`associate-+r-_binary64_2740`
2×	`distribute-neg-out_binary64_2768` `distribute-rgt1-in_binary64_2762`
1×	`1-exp_binary64_2850` `exp-1-e_binary64_2849` `cube-neg_binary64_2833` `rem-3cbrt-lft_binary64_2831` `sqr-neg_binary64_2820` `rem-square-sqrt_binary64_2818` `div-sub_binary64_2811` `mul-1-neg_binary64_2798` `+-rgt-identity_binary64_2791` `distribute-lft1-in_binary64_2761` `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` `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` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `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-div_binary64_2835` `rem-3cbrt-rft_binary64_2832` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `times-frac_binary64_2812` `/-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-lft-out--_binary64_2758` `distribute-lft-out_binary64_2757` `count-2_binary64_2754` `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--r-_binary64_2745` `associate-+l-_binary64_2741`

Counts

131 → 98

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	3142
1	879	2787
2	2872	2785
3	4182	2785
4	4996	2785
5	4952	2785

prune213.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	89	9	98
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	96	14	110

Error

0.1b

Counts

110 → 14

Compiler

Compiled 4403 to 827 computations (81.2% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))

rewrite188.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
16×	`add-sqr-sqrt_binary64_2828`
11×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
10×	`add-cube-cbrt_binary64_2841` `-un-lft-identity_binary64_2806` `associate-l_binary64_2747` `associate-r*_binary64_2746`
4×	`add-log-exp_binary64_2845` `*-commutative_binary64_2737`
3×	`unswap-sqr_binary64_2774`
2×	`sin-mult_binary64_2961` `associate-*l/_binary64_2749`
1×	`associate-*r/_binary64_2748` `flip3--_binary64_2810` `flip--_binary64_2781`

Counts

4 → 80

Calls

4 calls:

9.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
7.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

Compiler

Compiled 4205 to 454 computations (89.2% saved)

series1.9s (7.1%)

Error

0.1b

Counts

4 → 58

Calls

4 calls:

775.0ms	(.f64 (.f64 (cos.f64 phi2) (sin.f64 phi1)) (*.f64 (sin.f64 lambda1) (sin.f64 lambda2)))
633.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
174.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
171.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))

Compiler

Compiled 7302 to 2936 computations (59.8% saved)

simplify108.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

820×	`cancel-sign-sub-inv_binary64_2772`
632×	`associate-r_binary64_2746`
549×	`associate-l_binary64_2747`
436×	`distribute-rgt-neg-in_binary64_2764`
297×	`*-commutative_binary64_2737`
157×	`sub-neg_binary64_2799`
92×	`+-commutative_binary64_2736`
86×	`sqr-pow_binary64_2778`
84×	`neg-sub0_binary64_2801`
83×	`neg-mul-1_binary64_2802`
71×	`exp-prod_binary64_2858`
63×	`log-prod_binary64_2892`
60×	`associate--l+_binary64_2743`
59×	`swap-sqr_binary64_2773`
50×	`*-rgt-identity_binary64_2796`
46×	`cube-prod_binary64_2834`
45×	`associate--r+_binary64_2742`
42×	`distribute-neg-in_binary64_2767`
41×	`*-lft-identity_binary64_2795`
37×	`associate-+l+_binary64_2739`
36×	`unsub-neg_binary64_2800` `distribute-lft-neg-out_binary64_2765`
34×	`distribute-lft-neg-in_binary64_2763`
27×	`unswap-sqr_binary64_2774`
24×	`associate-+r+_binary64_2738`
13×	`distribute-rgt-neg-out_binary64_2766` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
12×	`cube-unmult_binary64_2843`
10×	`unpow3_binary64_2872`
9×	`distribute-rgt-out_binary64_2759`
8×	`exp-sum_binary64_2852` `cube-mult_binary64_2836`
5×	`distribute-rgt-out--_binary64_2760`
4×	`unpow2_binary64_2871` `unpow1/2_binary64_2870` `unpow1_binary64_2864` `pow-sqr_binary64_2779` `difference-of-squares_binary64_2775`
2×	`exp-diff_binary64_2854` `associate-+r-_binary64_2740`
1×	`1-exp_binary64_2850` `exp-1-e_binary64_2849` `mul-1-neg_binary64_2798` `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` `pow-plus_binary64_2869` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `div-exp_binary64_2857` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `exp-neg_binary64_2853` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-div_binary64_2835` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `rem-3cbrt-lft_binary64_2831` `rem-cbrt-cube_binary64_2830` `rem-cube-cbrt_binary64_2829` `sqr-abs_binary64_2821` `sqr-neg_binary64_2820` `rem-sqrt-square_binary64_2819` `rem-square-sqrt_binary64_2818` `times-frac_binary64_2812` `div-sub_binary64_2811` `/-rgt-identity_binary64_2797` `remove-double-neg_binary64_2794` `sub0-neg_binary64_2793` `--rgt-identity_binary64_2792` `+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `div0_binary64_2787` `-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `remove-double-div_binary64_2782` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `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-lft-out--_binary64_2758` `distribute-lft-out_binary64_2757` `count-2_binary64_2754` `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--r-_binary64_2745` `associate--l-_binary64_2744` `associate-+l-_binary64_2741`

Counts

138 → 102

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	325	3431
1	893	3000
2	3232	3000
3	5110	3000

prune246.0ms (0.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	96	6	102
Fresh	6	7	13
Picked	1	0	1
Done	0	0	0
Total	103	13	116

Error

0.0b

Counts

116 → 13

Compiler

Compiled 5981 to 996 computations (83.3% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
0.2b	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
0.2b	(*.f64 (cos.f64 phi1) (sin.f64 phi2))
0.2b	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))

rewrite204.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_2828`
15×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
12×	`associate-r_binary64_2746`
11×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
10×	`associate-l_binary64_2747`
6×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
4×	`add-log-exp_binary64_2845` `sin-cos-mult_binary64_2962` `*-commutative_binary64_2737`
3×	`sin-mult_binary64_2961` `frac-times_binary64_2816` `associate-l/_binary64_2749` `associate-r/_binary64_2748` `unswap-sqr_binary64_2774`
2×	`cos-mult_binary64_2960` `frac-add_binary64_2814` `flip3-+_binary64_2809` `flip-+_binary64_2780`
1×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `flip3--_binary64_2810` `flip--_binary64_2781`

Counts

4 → 84

Calls

4 calls:

11.0ms	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
8.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
5.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
5.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

Compiler

Compiled 4101 to 503 computations (87.7% saved)

series2.0s (7.8%)

Error

0.0b

Counts

4 → 59

Calls

4 calls:

1.0s	(.f64 (.f64 (sin.f64 phi1) (cos.f64 phi2)) (+.f64 (.f64 (cos.f64 lambda2) (cos.f64 lambda1)) (.f64 (sin.f64 lambda1) (sin.f64 lambda2))))
605.0ms	(.f64 (-.f64 (.f64 (cos.f64 lambda2) (sin.f64 lambda1)) (*.f64 (cos.f64 lambda1) (sin.f64 lambda2))) (cos.f64 phi2))
153.0ms	(*.f64 (sin.f64 lambda1) (sin.f64 lambda2))
152.0ms	(*.f64 (cos.f64 phi1) (sin.f64 phi2))

Compiler

Compiled 6714 to 2899 computations (56.8% saved)

simplify204.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

751×	`associate-r_binary64_2746`
667×	`associate-l_binary64_2747`
369×	`*-commutative_binary64_2737`
222×	`sub-neg_binary64_2799`
191×	`exp-prod_binary64_2858`
140×	`cancel-sign-sub-inv_binary64_2772`
127×	`+-commutative_binary64_2736`
108×	`neg-mul-1_binary64_2802`
106×	`distribute-rgt-in_binary64_2756`
104×	`neg-sub0_binary64_2801`
102×	`distribute-lft-in_binary64_2755`
92×	`sqr-pow_binary64_2778`
82×	`associate--l+_binary64_2743`
63×	`associate--r+_binary64_2742`
61×	`cube-prod_binary64_2834`
58×	`*-rgt-identity_binary64_2796`
53×	`associate-+l+_binary64_2739`
50×	`distribute-rgt-neg-in_binary64_2764`
47×	`log-prod_binary64_2892` `unsub-neg_binary64_2800` `*-lft-identity_binary64_2795`
41×	`distribute-lft-neg-in_binary64_2763`
40×	`associate-+r+_binary64_2738`
28×	`swap-sqr_binary64_2773`
27×	`unswap-sqr_binary64_2774`
25×	`distribute-neg-in_binary64_2767` `distribute-rgt-out_binary64_2759`
24×	`unpow3_binary64_2872`
19×	`exp-sum_binary64_2852`
17×	`cube-unmult_binary64_2843`
16×	`cube-mult_binary64_2836`
8×	`unpow1/2_binary64_2870` `distribute-lft-neg-out_binary64_2765`
7×	`pow-plus_binary64_2869` `difference-of-squares_binary64_2775` `distribute-rgt-out--_binary64_2760`
6×	`distribute-lft-out_binary64_2757`
4×	`unpow2_binary64_2871` `unpow1_binary64_2864` `exp-diff_binary64_2854` `rem-sqrt-square_binary64_2819` `pow-sqr_binary64_2779`
3×	`associate-+r-_binary64_2740`
2×	`distribute-rgt1-in_binary64_2762` `distribute-lft1-in_binary64_2761`
1×	`1-exp_binary64_2850` `exp-1-e_binary64_2849` `div-sub_binary64_2811` `mul-1-neg_binary64_2798` `associate--l-_binary64_2744` `associate-+l-_binary64_2741`
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` `exp-to-pow_binary64_2868` `pow-base-1_binary64_2866` `unpow0_binary64_2865` `unpow-1_binary64_2863` `exp-lft-cube_binary64_2862` `exp-lft-sqr_binary64_2861` `exp-cbrt_binary64_2860` `exp-sqrt_binary64_2859` `div-exp_binary64_2857` `rec-exp_binary64_2856` `prod-exp_binary64_2855` `exp-neg_binary64_2853` `e-exp-1_binary64_2851` `exp-0_binary64_2848` `rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `cube-div_binary64_2835` `cube-neg_binary64_2833` `rem-3cbrt-rft_binary64_2832` `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` `times-frac_binary64_2812` `/-rgt-identity_binary64_2797` `remove-double-neg_binary64_2794` `sub0-neg_binary64_2793` `--rgt-identity_binary64_2792` `+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790` `mul0-rgt_binary64_2789` `mul0-lft_binary64_2788` `div0_binary64_2787` `-inverses_binary64_2786` `+-inverses_binary64_2785` `lft-mult-inverse_binary64_2784` `rgt-mult-inverse_binary64_2783` `remove-double-div_binary64_2782` `difference-of-sqr--1_binary64_2777` `difference-of-sqr-1_binary64_2776` `cancel-sign-sub_binary64_2771` `distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-rgt-neg-out_binary64_2766` `distribute-lft-out--_binary64_2758` `count-2_binary64_2754` `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--r-_binary64_2745`

Counts

143 → 114

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	395	4238
1	1146	3695
2	4343	3695
3	4846	3695
4	4983	3695
5	4961	3695

prune202.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	115	12	127

Error

0.0b

Counts

127 → 12

Compiler

Compiled 5318 to 691 computations (87% saved)

regimes3.0s (11.3%)

Accuracy

Total 0.1b remaining (82.8%)

Threshold costs 0.1b (82.8%)

Compiler

Compiled 37862 to 23031 computations (39.2% saved)

bsearch0.0ms (0%)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64_2737`
17×	`+-commutative_binary64_2736`
16×	`sub-neg_binary64_2799`
14×	`neg-mul-1_binary64_2802` `neg-sub0_binary64_2801` `distribute-rgt-neg-in_binary64_2764`
13×	`distribute-lft-neg-in_binary64_2763`
2×	`unsub-neg_binary64_2800` `cancel-sign-sub-inv_binary64_2772` `distribute-neg-in_binary64_2767`
1×	`distribute-lft-neg-out_binary64_2765`
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` `mul-1-neg_binary64_2798` `/-rgt-identity_binary64_2797` `-rgt-identity_binary64_2796` `-lft-identity_binary64_2795` `remove-double-neg_binary64_2794` `sub0-neg_binary64_2793` `--rgt-identity_binary64_2792` `+-rgt-identity_binary64_2791` `+-lft-identity_binary64_2790` `cancel-sign-sub_binary64_2771` `distribute-neg-frac_binary64_2770` `distribute-frac-neg_binary64_2769` `distribute-neg-out_binary64_2768` `distribute-rgt-neg-out_binary64_2766`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	73
1	45	73
2	62	73
3	87	73
4	113	73
5	138	73
6	151	73
7	158	73
8	160	73
9	160	73

end0.0ms (0%)

sample11.4s (43.5%)

Algorithm

1×

intervals

Results

5.1s	5318×	body	1024	valid
767.0ms	1345×	body	512	valid
326.0ms	168×	body	2048	valid
150.0ms	414×	body	256	valid
136.0ms	755×	body	128	valid

Compiler

Compiled 6176 to 3751 computations (39.3% saved)

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39

Details

analyze2.9s (10.9%)

sample218.0ms (0.8%)

simplify25.0ms (0.1%)

prune4.0ms (0%)

localize27.0ms (0.1%)

rewrite143.0ms (0.5%)

series998.0ms (3.8%)

simplify123.0ms (0.5%)

prune147.0ms (0.6%)

localize30.0ms (0.1%)

rewrite163.0ms (0.6%)

series1.6s (6%)

simplify162.0ms (0.6%)

prune213.0ms (0.8%)

localize31.0ms (0.1%)

rewrite188.0ms (0.7%)

series1.9s (7.1%)

simplify108.0ms (0.4%)

prune246.0ms (0.9%)

localize30.0ms (0.1%)

rewrite204.0ms (0.8%)

series2.0s (7.8%)

simplify204.0ms (0.8%)

prune202.0ms (0.8%)

regimes3.0s (11.3%)

bsearch0.0ms (0%)

simplify11.0ms (0%)

end0.0ms (0%)

sample11.4s (43.5%)

Profiling

Iter	Nodes	Cost
0	18	39
1	31	39
2	59	39
3	105	39
4	129	39
5	196	39
6	248	39
7	309	39
8	420	39
9	430	39
10	436	39
11	385	39