Details

analyze545.0ms (1.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

682×	`div-sub_binary64_3152`
564×	`times-frac_binary64_3153`
462×	`associate-/r*_binary64_3091`
420×	`associate-/l/_binary64_3094`
320×	`cancel-sign-sub-inv_binary64_3113`
308×	`associate-/r/_binary64_3093`
306×	`distribute-rgt-neg-in_binary64_3105`
234×	`associate-/l*_binary64_3092`
214×	`distribute-lft-neg-in_binary64_3104`
212×	`distribute-rgt-in_binary64_3097`
162×	`distribute-lft-in_binary64_3096`
150×	`associate-l_binary64_3088` `*-commutative_binary64_3078`
136×	`associate-r_binary64_3087`
112×	`distribute-lft-neg-out_binary64_3106`
104×	`sub-neg_binary64_3140`
100×	`distribute-neg-frac_binary64_3111` `distribute-rgt-neg-out_binary64_3107`
98×	`neg-sub0_binary64_3142`
96×	`neg-mul-1_binary64_3143`
94×	`unsub-neg_binary64_3141`
66×	`distribute-neg-in_binary64_3108`
40×	`associate--r+_binary64_3083`
36×	`*-rgt-identity_binary64_3137`
32×	`sqr-pow_binary64_3119` `unswap-sqr_binary64_3115`
28×	`-lft-identity_binary64_3136` `associate-l/_binary64_3090`
24×	`sub0-neg_binary64_3134`
22×	`associate-+l-_binary64_3082`
18×	`distribute-rgt-out--_binary64_3101` `+-commutative_binary64_3077`
16×	`pow-sqr_binary64_3120`
14×	`cube-prod_binary64_3175` `remove-double-neg_binary64_3135` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129`
12×	`swap-sqr_binary64_3114`
10×	`--rgt-identity_binary64_3133` `associate-*r/_binary64_3089`
8×	`exp-diff_binary64_3195` `exp-sum_binary64_3193` `cube-unmult_binary64_3184` `/-rgt-identity_binary64_3138`
6×	`associate--l+_binary64_3084` `associate-+l+_binary64_3080`
4×	`pow-plus_binary64_3210` `exp-prod_binary64_3199` `rec-exp_binary64_3197` `+-lft-identity_binary64_3131` `div0_binary64_3128` `distribute-rgt-out_binary64_3100` `associate--r-_binary64_3086`
2×	`unpow3_binary64_3213` `exp-neg_binary64_3194` `+-rgt-identity_binary64_3132` `distribute-lft-out--_binary64_3099` `associate-+r-_binary64_3081` `associate-+r+_binary64_3079`
1×	`exp-0_binary64_3189`
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_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-pow_binary64_3236` `log-rec_binary64_3235` `log-div_binary64_3234` `log-prod_binary64_3233` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow1_binary64_3205` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `div-exp_binary64_3198` `prod-exp_binary64_3196` `e-exp-1_binary64_3192` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-mult_binary64_3177` `cube-div_binary64_3176` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `rem-3cbrt-lft_binary64_3172` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159` `mul-1-neg_binary64_3139` `*-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `difference-of-squares_binary64_3116` `cancel-sign-sub_binary64_3112` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-lft-out_binary64_3098` `count-2_binary64_3095` `associate--l-_binary64_3085`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	36
1	38	36
2	89	36
3	197	36
4	327	36
5	580	36
6	1044	36
7	1830	36
8	4024	36
9	4887	36
0	2	2
1	2	2

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
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample115.0ms (0.4%)

Algorithm

1×

intervals

Results

59.0ms	154×	body	1024	valid
11.0ms	52×	body	1024	invalid
10.0ms	52×	body	512	valid
8.0ms	14×	body	2048	valid
4.0ms	26×	body	512	invalid
3.0ms	22×	body	256	valid
2.0ms	16×	body	256	invalid
1.0ms	19×	body	128	invalid
1.0ms	14×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify87.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

626×	`associate-/l*_binary64_3092`
547×	`div-sub_binary64_3152`
534×	`unswap-sqr_binary64_3115`
468×	`sub-neg_binary64_3140`
462×	`times-frac_binary64_3153`
367×	`associate-/r*_binary64_3091`
357×	`distribute-neg-frac_binary64_3111`
321×	`cancel-sign-sub-inv_binary64_3113`
252×	`distribute-rgt-neg-in_binary64_3105`
229×	`neg-mul-1_binary64_3143`
226×	`neg-sub0_binary64_3142`
223×	`associate-l_binary64_3088`
204×	`associate-r_binary64_3087`
189×	`associate-/l/_binary64_3094`
181×	`distribute-lft-neg-in_binary64_3104`
150×	`associate-/r/_binary64_3093` `*-commutative_binary64_3078`
148×	`distribute-rgt-neg-out_binary64_3107`
130×	`difference-of-squares_binary64_3116`
125×	`div0_binary64_3128`
118×	`distribute-rgt-in_binary64_3097`
111×	`associate-*l/_binary64_3090`
109×	`unsub-neg_binary64_3141`
92×	`distribute-lft-in_binary64_3096`
84×	`remove-double-neg_binary64_3135`
79×	`distribute-lft-neg-out_binary64_3106`
71×	`sqr-pow_binary64_3119`
58×	`distribute-frac-neg_binary64_3110`
49×	`associate-*r/_binary64_3089`
43×	`*-lft-identity_binary64_3136`
40×	`distribute-neg-in_binary64_3108`
33×	`*-rgt-identity_binary64_3137` `pow-sqr_binary64_3120`
32×	`cube-prod_binary64_3175`
27×	`mul0-rgt_binary64_3130` `mul0-lft_binary64_3129`
26×	`associate--r+_binary64_3083`
22×	`/-rgt-identity_binary64_3138`
16×	`mul-1-neg_binary64_3139` `associate-+l-_binary64_3082`
14×	`sub0-neg_binary64_3134`
12×	`remove-double-div_binary64_3123` `cancel-sign-sub_binary64_3112`
11×	`exp-prod_binary64_3199` `swap-sqr_binary64_3114` `+-commutative_binary64_3077`
10×	`pow-plus_binary64_3210` `+-lft-identity_binary64_3131`
9×	`cube-unmult_binary64_3184` `distribute-rgt-out--_binary64_3101`
8×	`unpow3_binary64_3213` `exp-sum_binary64_3193`
7×	`--rgt-identity_binary64_3133`
5×	`exp-diff_binary64_3195`
4×	`unpow2_binary64_3212` `associate--l+_binary64_3084`
3×	`exp-lft-sqr_binary64_3202` `cube-mult_binary64_3177` `cube-neg_binary64_3174` `sqr-neg_binary64_3161` `associate-+l+_binary64_3080`
2×	`exp-sqrt_binary64_3200` `rec-exp_binary64_3197` `distribute-rgt-out_binary64_3100` `associate--r-_binary64_3086` `associate--l-_binary64_3085`
1×	`unpow1_binary64_3205` `prod-exp_binary64_3196` `exp-neg_binary64_3194` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `+-rgt-identity_binary64_3132` `distribute-lft-out--_binary64_3099` `associate-+r-_binary64_3081` `associate-+r+_binary64_3079`
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_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-pow_binary64_3236` `log-rec_binary64_3235` `log-div_binary64_3234` `log-prod_binary64_3233` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow1/2_binary64_3211` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-cbrt_binary64_3201` `div-exp_binary64_3198` `e-exp-1_binary64_3192` `1-exp_binary64_3191` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-div_binary64_3176` `rem-3cbrt-rft_binary64_3173` `rem-3cbrt-lft_binary64_3172` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159` `*-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `distribute-neg-out_binary64_3109` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-lft-out_binary64_3098` `count-2_binary64_3095`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	22	18
2	49	18
3	104	18
4	174	18
5	306	18
6	543	18
7	1241	18
8	3282	18
9	4150	18
10	4354	18
11	5340	18

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

57.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize13.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.7b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite82.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

57.6b

Rules

10×	`add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
9×	`cancel-sign-sub-inv_binary64_3113`
7×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
6×	`add-cube-cbrt_binary64_3182`
5×	`associate-r_binary64_3087`
4×	`add-log-exp_binary64_3186` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096`
3×	`sub-neg_binary64_3140` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
2×	`flip3--_binary64_3151` `flip--_binary64_3122` `difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099` `associate-*r/_binary64_3089`
1×	`diff-log_binary64_3239` `associate-l_binary64_3088` `*-commutative_binary64_3078`

Counts

2 → 46

Calls

2 calls:

12.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 925 to 309 computations (66.6% saved)

series303.0ms (1%)

Error

0.2b

Counts

2 → 16

Calls

2 calls:

239.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
41.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 618 to 455 computations (26.4% saved)

simplify97.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

841×	`times-frac_binary64_3153`
402×	`*-commutative_binary64_3078`
333×	`exp-prod_binary64_3199`
259×	`distribute-rgt-in_binary64_3097`
252×	`unsub-neg_binary64_3141`
206×	`distribute-lft-in_binary64_3096`
204×	`sub-neg_binary64_3140`
185×	`associate-l_binary64_3088`
155×	`associate-r_binary64_3087`
125×	`neg-sub0_binary64_3142`
121×	`neg-mul-1_binary64_3143`
110×	`associate-+r+_binary64_3079`
94×	`cancel-sign-sub-inv_binary64_3113`
87×	`distribute-rgt-neg-in_binary64_3105`
86×	`associate--r+_binary64_3083`
85×	`distribute-lft-neg-in_binary64_3104`
83×	`associate-+l+_binary64_3080`
74×	`+-commutative_binary64_3077`
72×	`associate-+r-_binary64_3081`
54×	`distribute-neg-in_binary64_3108`
52×	`associate-+l-_binary64_3082`
42×	`exp-sum_binary64_3193`
36×	`sqr-pow_binary64_3119`
34×	`distribute-rgt-neg-out_binary64_3107`
33×	`distribute-lft-neg-out_binary64_3106`
27×	`associate-/r*_binary64_3091`
26×	`exp-diff_binary64_3195`
25×	`cube-prod_binary64_3175` `associate--l+_binary64_3084`
23×	`associate-*l/_binary64_3090`
22×	`distribute-rgt-out_binary64_3100` `associate-*r/_binary64_3089`
20×	`log-prod_binary64_3233`
18×	`*-rgt-identity_binary64_3137`
17×	`*-lft-identity_binary64_3136` `distribute-lft-out_binary64_3098`
15×	`unpow3_binary64_3213` `unswap-sqr_binary64_3115` `swap-sqr_binary64_3114`
14×	`associate--l-_binary64_3085`
13×	`associate-/l*_binary64_3092`
11×	`exp-neg_binary64_3194`
8×	`prod-exp_binary64_3196` `div-sub_binary64_3152`
7×	`unpow1/2_binary64_3211` `cube-unmult_binary64_3184` `distribute-rgt-out--_binary64_3101`
5×	`cube-mult_binary64_3177` `+-rgt-identity_binary64_3132` `distribute-neg-out_binary64_3109`
4×	`cube-div_binary64_3176` `rem-sqrt-square_binary64_3160` `difference-of-squares_binary64_3116`
3×	`div-exp_binary64_3198` `pow-sqr_binary64_3120` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-lft-out--_binary64_3099` `associate--r-_binary64_3086`
2×	`rec-exp_binary64_3197` `mul-1-neg_binary64_3139` `sub0-neg_binary64_3134` `distribute-neg-frac_binary64_3111`
1×	`unpow2_binary64_3212` `unpow1_binary64_3205` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-3cbrt-lft_binary64_3172` `sqr-neg_binary64_3161` `rem-square-sqrt_binary64_3159` `mul0-lft_binary64_3129` `lft-mult-inverse_binary64_3125` `count-2_binary64_3095`
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_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-pow_binary64_3236` `log-rec_binary64_3235` `log-div_binary64_3234` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `pow-plus_binary64_3210` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `/-rgt-identity_binary64_3138` `remove-double-neg_binary64_3135` `--rgt-identity_binary64_3133` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `div0_binary64_3128` `*-inverses_binary64_3127` `+-inverses_binary64_3126` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `cancel-sign-sub_binary64_3112` `distribute-frac-neg_binary64_3110` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093`

Counts

62 → 48

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1348
1	389	1165
2	1291	1131
3	3014	1131
4	4947	1131
5	5053	1131

prune56.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Error

0.1b

Counts

49 → 4

Compiler

Compiled 836 to 366 computations (56.2% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 1/60 (pow.f64 im 5))
0.0b	(*.f64 1/2520 (pow.f64 im 7))
0.1b	(*.f64 1/3 (pow.f64 im 3))
0.1b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))

rewrite306.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

32×	`add-sqr-sqrt_binary64_3169`
29×	`associate-r_binary64_3087`
24×	`add-exp-log_binary64_3185`
15×	`add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
12×	`prod-exp_binary64_3196` `associate--l+_binary64_3084` `unpow-prod-down_binary64_3226`
10×	`associate-l_binary64_3088` `unswap-sqr_binary64_3115`
9×	`pow1_binary64_3208`
6×	`cbrt-unprod_binary64_3180` `sub-neg_binary64_3140` `distribute-rgt-in_binary64_3097` `cancel-sign-sub-inv_binary64_3113` `distribute-lft-in_binary64_3096` `sqr-pow_binary64_3119`
4×	`add-log-exp_binary64_3186` `*-commutative_binary64_3078` `cube-prod_binary64_3175`
3×	`pow-prod-down_binary64_3218` `pow-to-exp_binary64_3216` `pow-exp_binary64_3215`
2×	`associate-*r/_binary64_3089`
1×	`flip3--_binary64_3151` `flip--_binary64_3122` `unpow3_binary64_3213` `cube-mult_binary64_3177`

Counts

4 → 113

Calls

4 calls:

16.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
8.0ms	(*.f64 1/2520 (pow.f64 im 7))
7.0ms	(*.f64 1/3 (pow.f64 im 3))
6.0ms	(*.f64 1/60 (pow.f64 im 5))

Compiler

Compiled 3971 to 3092 computations (22.1% saved)

series657.0ms (2.3%)

Error

0.1b

Counts

4 → 20

Calls

4 calls:

436.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
79.0ms	(*.f64 1/2520 (pow.f64 im 7))
57.0ms	(*.f64 1/60 (pow.f64 im 5))
56.0ms	(*.f64 1/3 (pow.f64 im 3))

Compiler

Compiled 1559 to 1275 computations (18.2% saved)

simplify147.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

470×	`distribute-rgt-in_binary64_3097`
329×	`associate-l_binary64_3088`
325×	`associate-r_binary64_3087`
278×	`cancel-sign-sub-inv_binary64_3113`
219×	`*-commutative_binary64_3078`
201×	`exp-prod_binary64_3199`
171×	`log-prod_binary64_3233`
160×	`distribute-rgt-neg-in_binary64_3105`
156×	`distribute-lft-neg-in_binary64_3104`
129×	`unswap-sqr_binary64_3115`
109×	`sub-neg_binary64_3140`
87×	`distribute-neg-in_binary64_3108`
76×	`+-commutative_binary64_3077`
70×	`sqr-pow_binary64_3119`
68×	`associate-+r+_binary64_3079`
51×	`neg-sub0_binary64_3142`
49×	`associate-+l+_binary64_3080`
48×	`neg-mul-1_binary64_3143`
41×	`distribute-lft-in_binary64_3096`
39×	`unsub-neg_binary64_3141`
38×	`swap-sqr_binary64_3114`
37×	`cube-prod_binary64_3175`
36×	`distribute-rgt-out_binary64_3100`
34×	`distribute-lft-neg-out_binary64_3106`
28×	`log-pow_binary64_3236` `unpow3_binary64_3213` `associate--l+_binary64_3084`
27×	`distribute-rgt-neg-out_binary64_3107`
23×	`associate--r+_binary64_3083`
21×	`distribute-lft-out_binary64_3098`
17×	`*-rgt-identity_binary64_3137`
16×	`cube-unmult_binary64_3184`
15×	`*-lft-identity_binary64_3136`
11×	`pow-sqr_binary64_3120`
9×	`pow-plus_binary64_3210` `associate--l-_binary64_3085`
8×	`associate-+l-_binary64_3082`
7×	`exp-diff_binary64_3195` `div-sub_binary64_3152`
6×	`cube-mult_binary64_3177` `+-rgt-identity_binary64_3132` `associate-+r-_binary64_3081`
5×	`exp-sum_binary64_3193` `rem-sqrt-square_binary64_3160` `distribute-rgt-out--_binary64_3101`
4×	`unpow1/2_binary64_3211` `distribute-neg-out_binary64_3109`
3×	`sub0-neg_binary64_3134` `difference-of-squares_binary64_3116` `distribute-rgt1-in_binary64_3103`
2×	`mul-1-neg_binary64_3139`
1×	`unpow1/3_binary64_3214` `unpow2_binary64_3212` `unpow1_binary64_3205` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `rem-square-sqrt_binary64_3159` `distribute-lft1-in_binary64_3102` `distribute-lft-out--_binary64_3099`
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_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-rec_binary64_3235` `log-div_binary64_3234` `pow-base-0_binary64_3231` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `div-exp_binary64_3198` `rec-exp_binary64_3197` `prod-exp_binary64_3196` `exp-neg_binary64_3194` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-div_binary64_3176` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `rem-3cbrt-lft_binary64_3172` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `times-frac_binary64_3153` `/-rgt-identity_binary64_3138` `remove-double-neg_binary64_3135` `--rgt-identity_binary64_3133` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `div0_binary64_3128` `-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `count-2_binary64_3095` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `associate-/l_binary64_3092` `associate-/r_binary64_3091` `associate-l/_binary64_3090` `associate-*r/_binary64_3089` `associate--r-_binary64_3086`

Counts

133 → 84

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	2980
1	721	2698
2	2441	2642
3	4651	2642
4	4979	2642
5	4956	2642

prune194.0ms (0.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	77	7	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	77	11	88

Error

0.1b

Counts

88 → 11

Compiler

Compiled 3148 to 2431 computations (22.8% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))) (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7)))))
0.7b	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
0.7b	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
0.7b	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))

rewrite727.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_3178`
23×	`add-sqr-sqrt_binary64_3169`
18×	`cbrt-div_binary64_3179`
15×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229` `flip3--_binary64_3151` `flip--_binary64_3122`
6×	`add-exp-log_binary64_3185` `swap-sqr_binary64_3114` `associate-l_binary64_3088` `associate-r_binary64_3087`
4×	`add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `frac-times_binary64_3157` `unswap-sqr_binary64_3115`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120` `associate-l/_binary64_3090` `associate-r/_binary64_3089`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `*-commutative_binary64_3078`

Counts

4 → 87

Calls

4 calls:

26.0ms	(.f64 (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))) (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7)))))
13.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
11.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
10.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))

Compiler

Compiled 8951 to 7316 computations (18.3% saved)

series1.3s (4.5%)

Error

0.1b

Counts

4 → 34

Calls

4 calls:

409.0ms	(.f64 (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))) (cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7)))))
246.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
244.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
241.0ms	(cbrt.f64 (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))

Compiler

Compiled 6153 to 5291 computations (14% saved)

simplify323.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

432×	`unswap-sqr_binary64_3115`
338×	`*-commutative_binary64_3078`
337×	`cancel-sign-sub-inv_binary64_3113`
147×	`sub-neg_binary64_3140`
141×	`associate-r_binary64_3087`
134×	`distribute-lft-in_binary64_3096`
133×	`distribute-rgt-in_binary64_3097`
125×	`times-frac_binary64_3153`
117×	`sqr-pow_binary64_3119`
114×	`associate-l_binary64_3088`
106×	`exp-prod_binary64_3199`
104×	`associate-/l*_binary64_3092`
95×	`neg-mul-1_binary64_3143` `neg-sub0_binary64_3142`
93×	`distribute-rgt-neg-in_binary64_3105`
90×	`distribute-lft-neg-in_binary64_3104`
83×	`unsub-neg_binary64_3141`
79×	`+-commutative_binary64_3077`
76×	`associate-/r*_binary64_3091`
72×	`associate-+l+_binary64_3080`
68×	`associate-+r+_binary64_3079`
60×	`exp-sum_binary64_3193`
55×	`distribute-rgt-out_binary64_3100`
50×	`log-prod_binary64_3233`
49×	`swap-sqr_binary64_3114`
32×	`associate-*l/_binary64_3090`
29×	`associate-+r-_binary64_3081`
28×	`associate--l+_binary64_3084`
26×	`pow-sqr_binary64_3120` `distribute-lft-out_binary64_3098` `associate-/r/_binary64_3093` `associate-*r/_binary64_3089`
24×	`cube-prod_binary64_3175`
23×	`associate-+l-_binary64_3082`
21×	`pow-plus_binary64_3210`
20×	`distribute-rgt-neg-out_binary64_3107`
19×	`log-pow_binary64_3236` `unpow1/3_binary64_3214` `exp-to-pow_binary64_3209` `exp-diff_binary64_3195` `distribute-lft-neg-out_binary64_3106`
18×	`div-sub_binary64_3152` `*-lft-identity_binary64_3136` `+-rgt-identity_binary64_3132`
17×	`unpow3_binary64_3213` `*-rgt-identity_binary64_3137`
11×	`sub0-neg_binary64_3134`
10×	`cube-unmult_binary64_3184`
9×	`remove-double-neg_binary64_3135` `associate-/l/_binary64_3094` `associate--l-_binary64_3085`
8×	`exp-neg_binary64_3194` `associate--r+_binary64_3083`
7×	`log-div_binary64_3234` `cube-mult_binary64_3177` `rem-sqrt-square_binary64_3160` `difference-of-squares_binary64_3116` `distribute-rgt-out--_binary64_3101`
6×	`distribute-lft-out--_binary64_3099`
5×	`unpow2_binary64_3212` `rem-exp-log_binary64_3187` `distribute-neg-in_binary64_3108`
4×	`unpow1/2_binary64_3211` `associate--r-_binary64_3086`
3×	`log-rec_binary64_3235` `rem-3cbrt-lft_binary64_3172` `--rgt-identity_binary64_3133`
2×	`unpow1_binary64_3205` `exp-lft-sqr_binary64_3202` `sqr-neg_binary64_3161` `cancel-sign-sub_binary64_3112` `distribute-neg-out_binary64_3109` `count-2_binary64_3095`
1×	`log-E_binary64_3237` `prod-exp_binary64_3196` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-3cbrt-rft_binary64_3173` `rem-square-sqrt_binary64_3159`
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_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `pow-base-0_binary64_3231` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `div-exp_binary64_3198` `rec-exp_binary64_3197` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `cube-div_binary64_3176` `cube-neg_binary64_3174` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `div0_binary64_3128` `*-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102`

Counts

121 → 92

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	216	8195
1	485	7819
2	1296	6526
3	3272	6243
4	4943	6043
5	4988	6043
6	5000	6043
7	4901	6043

prune600.0ms (2.1%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	89	14	103

Error

0.0b

Counts

103 → 14

Compiler

Compiled 8012 to 6533 computations (18.5% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7))))))
0.7b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
0.7b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
0.7b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))

rewrite632.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`associate-*r/_binary64_3089`
18×	`cbrt-div_binary64_3179`
11×	`pow1_binary64_3208`
10×	`add-sqr-sqrt_binary64_3169`
9×	`pow1/3_binary64_3229` `flip3--_binary64_3151` `flip--_binary64_3122`
8×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
7×	`cbrt-prod_binary64_3178`
6×	`add-exp-log_binary64_3185`
4×	`add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `frac-times_binary64_3157` `swap-sqr_binary64_3114` `associate-l_binary64_3088` `associate-r_binary64_3087`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120` `associate-*l/_binary64_3090`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `*-commutative_binary64_3078`

Counts

4 → 72

Calls

4 calls:

16.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7))))))
13.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
13.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
13.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))

Compiler

Compiled 8066 to 6395 computations (20.7% saved)

series13.3s (46%)

Error

0.0b

Counts

4 → 44

Calls

4 calls:

6.0s	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (*.f64 1/2520 (pow.f64 im 7))))))
2.3s	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
2.3s	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))
2.3s	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))))

Compiler

Compiled 14048 to 11736 computations (16.5% saved)

simplify226.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

364×	`associate-r_binary64_3087`
316×	`unswap-sqr_binary64_3115`
305×	`associate-l_binary64_3088`
216×	`*-commutative_binary64_3078`
204×	`times-frac_binary64_3153`
194×	`cancel-sign-sub-inv_binary64_3113`
146×	`distribute-rgt-out_binary64_3100`
123×	`distribute-rgt-neg-in_binary64_3105`
116×	`distribute-lft-neg-in_binary64_3104`
113×	`exp-prod_binary64_3199`
88×	`sqr-pow_binary64_3119`
79×	`distribute-lft-out_binary64_3098`
68×	`sub-neg_binary64_3140`
65×	`+-commutative_binary64_3077`
60×	`distribute-neg-in_binary64_3108`
55×	`associate-+r+_binary64_3079`
49×	`log-prod_binary64_3233`
45×	`associate-+l+_binary64_3080`
44×	`exp-sum_binary64_3193`
43×	`neg-mul-1_binary64_3143` `neg-sub0_binary64_3142`
31×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096`
29×	`distribute-lft-neg-out_binary64_3106`
28×	`swap-sqr_binary64_3114`
26×	`distribute-rgt-neg-out_binary64_3107` `associate-/l*_binary64_3092`
23×	`exp-to-pow_binary64_3209`
19×	`unpow1/3_binary64_3214`
16×	`unsub-neg_binary64_3141` `associate-/r*_binary64_3091`
14×	`unpow3_binary64_3213` `pow-plus_binary64_3210` `cube-prod_binary64_3175`
12×	`associate-l/_binary64_3090` `associate-r/_binary64_3089` `associate--r+_binary64_3083`
11×	`pow-sqr_binary64_3120`
10×	`cube-unmult_binary64_3184`
9×	`log-pow_binary64_3236`
8×	`*-rgt-identity_binary64_3137` `associate--l+_binary64_3084`
7×	`unpow1/2_binary64_3211` `*-lft-identity_binary64_3136`
6×	`unpow2_binary64_3212` `unpow1_binary64_3205` `associate-/r/_binary64_3093`
5×	`remove-double-neg_binary64_3135` `associate--l-_binary64_3085` `associate-+l-_binary64_3082`
4×	`exp-diff_binary64_3195` `cube-mult_binary64_3177` `div-sub_binary64_3152`
3×	`difference-of-squares_binary64_3116`
2×	`log-div_binary64_3234` `exp-lft-sqr_binary64_3202` `rem-3cbrt-lft_binary64_3172` `rem-sqrt-square_binary64_3160` `cancel-sign-sub_binary64_3112` `distribute-neg-out_binary64_3109` `associate-+r-_binary64_3081`
1×	`log-rec_binary64_3235` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-3cbrt-rft_binary64_3173` `rem-square-sqrt_binary64_3159` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-rgt-out--_binary64_3101` `distribute-lft-out--_binary64_3099` `count-2_binary64_3095`
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_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `pow-base-0_binary64_3231` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `div-exp_binary64_3198` `rec-exp_binary64_3197` `prod-exp_binary64_3196` `exp-neg_binary64_3194` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-div_binary64_3176` `cube-neg_binary64_3174` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `sub0-neg_binary64_3134` `--rgt-identity_binary64_3133` `+-rgt-identity_binary64_3132` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `div0_binary64_3128` `*-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `associate-/l/_binary64_3094` `associate--r-_binary64_3086`

Counts

116 → 103

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	277	8927
1	753	8122
2	2634	6966
3	4870	6848
4	4951	6848

prune753.0ms (2.6%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	2	8	10
Picked	0	1	1
Done	1	2	3
Total	104	13	117

Error

0.0b

Counts

117 → 13

Compiler

Compiled 9444 to 7476 computations (20.8% saved)

regimes1.5s (5.2%)

Accuracy

Total 0.7b remaining (96.7%)

Threshold costs 0.7b (96.7%)

Compiler

Compiled 21312 to 17916 computations (15.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64_3078`
22×	`+-commutative_binary64_3077`
19×	`neg-mul-1_binary64_3143` `neg-sub0_binary64_3142` `sub-neg_binary64_3140`
11×	`distribute-rgt-neg-in_binary64_3105` `distribute-lft-neg-in_binary64_3104`
6×	`unsub-neg_binary64_3141` `distribute-neg-in_binary64_3108`
1×	`distribute-rgt-neg-out_binary64_3107` `distribute-lft-neg-out_binary64_3106`
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_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `unpow1_binary64_3205` `e-exp-1_binary64_3192` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `-rgt-identity_binary64_3137` `-lft-identity_binary64_3136` `remove-double-neg_binary64_3135` `sub0-neg_binary64_3134` `--rgt-identity_binary64_3133` `+-rgt-identity_binary64_3132` `+-lft-identity_binary64_3131` `cancel-sign-sub-inv_binary64_3113` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	41
1	43	41
2	66	41
3	103	41
4	142	41
5	167	41
6	181	41
7	185	41
8	185	41

end0.0ms (0%)

sample6.8s (23.7%)

Algorithm

1×

intervals

Results

1.8s	4898×	body	1024	valid
503.0ms	1659×	body	512	valid
403.0ms	1839×	body	1024	invalid
227.0ms	410×	body	2048	valid
156.0ms	966×	body	512	invalid
87.0ms	661×	body	256	valid
54.0ms	493×	body	256	invalid
47.0ms	713×	body	128	invalid
23.0ms	372×	body	128	valid

Compiler

Compiled 3625 to 3043 computations (16.1% saved)

Details

analyze545.0ms (1.9%)

sample115.0ms (0.4%)

simplify87.0ms (0.3%)

prune4.0ms (0%)

localize13.0ms (0%)

rewrite82.0ms (0.3%)

series303.0ms (1%)

simplify97.0ms (0.3%)

prune56.0ms (0.2%)

localize19.0ms (0.1%)

rewrite306.0ms (1.1%)

series657.0ms (2.3%)

simplify147.0ms (0.5%)

prune194.0ms (0.7%)

localize31.0ms (0.1%)

rewrite727.0ms (2.5%)

series1.3s (4.5%)

simplify323.0ms (1.1%)

prune600.0ms (2.1%)

localize28.0ms (0.1%)

rewrite632.0ms (2.2%)

series13.3s (46%)

simplify226.0ms (0.8%)

prune753.0ms (2.6%)

regimes1.5s (5.2%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample6.8s (23.7%)

Profiling