Details

analyze175.0ms (3%)

Algorithm

1×	search
2×	egg-herbie

Rules

4×	`associate-/r*_binary64_3091`
2×	`*-commutative_binary64_3078`
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` `unpow3_binary64_3213` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `pow-plus_binary64_3210` `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` `exp-prod_binary64_3199` `div-exp_binary64_3198` `rec-exp_binary64_3197` `prod-exp_binary64_3196` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `exp-sum_binary64_3193` `e-exp-1_binary64_3192` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-unmult_binary64_3184` `cube-mult_binary64_3177` `cube-div_binary64_3176` `cube-prod_binary64_3175` `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` `times-frac_binary64_3153` `div-sub_binary64_3152` `neg-mul-1_binary64_3143` `neg-sub0_binary64_3142` `unsub-neg_binary64_3141` `sub-neg_binary64_3140` `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` `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` `pow-sqr_binary64_3120` `sqr-pow_binary64_3119` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `difference-of-squares_binary64_3116` `unswap-sqr_binary64_3115` `swap-sqr_binary64_3114` `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` `distribute-neg-in_binary64_3108` `distribute-rgt-neg-out_binary64_3107` `distribute-lft-neg-out_binary64_3106` `distribute-rgt-neg-in_binary64_3105` `distribute-lft-neg-in_binary64_3104` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-rgt-out--_binary64_3101` `distribute-rgt-out_binary64_3100` `distribute-lft-out--_binary64_3099` `distribute-lft-out_binary64_3098` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `count-2_binary64_3095` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `associate-/l_binary64_3092` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `associate-l_binary64_3088` `associate-r_binary64_3087` `associate--r-_binary64_3086` `associate--l-_binary64_3085` `associate--l+_binary64_3084` `associate--r+_binary64_3083` `associate-+l-_binary64_3082` `associate-+r-_binary64_3081` `associate-+l+_binary64_3080` `associate-+r+_binary64_3079` `+-commutative_binary64_3077`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	16	18
2	20	18
3	20	18
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
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 7 to 7 computations (0% saved)

sample15.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64_3091`
1×	`*-commutative_binary64_3078`
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` `unpow3_binary64_3213` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `pow-plus_binary64_3210` `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` `exp-prod_binary64_3199` `div-exp_binary64_3198` `rec-exp_binary64_3197` `prod-exp_binary64_3196` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `exp-sum_binary64_3193` `e-exp-1_binary64_3192` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-unmult_binary64_3184` `cube-mult_binary64_3177` `cube-div_binary64_3176` `cube-prod_binary64_3175` `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` `times-frac_binary64_3153` `div-sub_binary64_3152` `neg-mul-1_binary64_3143` `neg-sub0_binary64_3142` `unsub-neg_binary64_3141` `sub-neg_binary64_3140` `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` `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` `pow-sqr_binary64_3120` `sqr-pow_binary64_3119` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `difference-of-squares_binary64_3116` `unswap-sqr_binary64_3115` `swap-sqr_binary64_3114` `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` `distribute-neg-in_binary64_3108` `distribute-rgt-neg-out_binary64_3107` `distribute-lft-neg-out_binary64_3106` `distribute-rgt-neg-in_binary64_3105` `distribute-lft-neg-in_binary64_3104` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-rgt-out--_binary64_3101` `distribute-rgt-out_binary64_3100` `distribute-lft-out--_binary64_3099` `distribute-lft-out_binary64_3098` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `count-2_binary64_3095` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `associate-/l_binary64_3092` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `associate-l_binary64_3088` `associate-r_binary64_3087` `associate--r-_binary64_3086` `associate--l-_binary64_3085` `associate--l+_binary64_3084` `associate--r+_binary64_3083` `associate-+l-_binary64_3082` `associate-+r-_binary64_3081` `associate-+l+_binary64_3080` `associate-+r+_binary64_3079` `+-commutative_binary64_3077`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
2	12	9
3	12	9

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

14.1b

Counts

1 → 1

Compiler

Compiled 6 to 6 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

13.8b

(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

7×	`cbrt-prod_binary64_3178`
3×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `times-frac_binary64_3153` `*-un-lft-identity_binary64_3147`
1×	`pow1/3_binary64_3229` `pow1_binary64_3208` `add-log-exp_binary64_3186` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `cbrt-div_binary64_3179` `div-inv_binary64_3144`

Counts

1 → 16

Calls

1 calls:

4.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 194 to 140 computations (27.8% saved)

series367.0ms (6.2%)

Error

4.5b

Counts

1 → 6

Calls

1 calls:

360.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 227 to 217 computations (4.4% saved)

simplify113.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

624×	`exp-sum_binary64_3193`
462×	`unsub-neg_binary64_3141`
389×	`exp-diff_binary64_3195`
384×	`times-frac_binary64_3153` `sub-neg_binary64_3140`
372×	`distribute-rgt-in_binary64_3097`
350×	`div-sub_binary64_3152`
303×	`distribute-lft-in_binary64_3096`
285×	`prod-exp_binary64_3196`
284×	`exp-prod_binary64_3199`
200×	`sqr-pow_binary64_3119`
199×	`associate--l-_binary64_3085`
158×	`div-exp_binary64_3198`
157×	`associate-r_binary64_3087`
149×	`associate-l_binary64_3088`
135×	`+-commutative_binary64_3077`
129×	`log-prod_binary64_3233`
113×	`*-commutative_binary64_3078`
106×	`associate-+r+_binary64_3079`
99×	`neg-mul-1_binary64_3143`
89×	`associate-+r-_binary64_3081`
84×	`distribute-neg-in_binary64_3108`
76×	`neg-sub0_binary64_3142` `cancel-sign-sub-inv_binary64_3113`
70×	`log-div_binary64_3234`
66×	`associate-/l*_binary64_3092`
63×	`associate--r+_binary64_3083`
57×	`log-pow_binary64_3236`
55×	`pow-sqr_binary64_3120`
50×	`associate--r-_binary64_3086`
48×	`rec-exp_binary64_3197` `associate-+l-_binary64_3082`
41×	`/-rgt-identity_binary64_3138`
39×	`associate-/l/_binary64_3094`
38×	`exp-to-pow_binary64_3209`
37×	`associate--l+_binary64_3084`
35×	`associate-+l+_binary64_3080`
31×	`associate-*r/_binary64_3089`
28×	`*-rgt-identity_binary64_3137`
27×	`*-lft-identity_binary64_3136` `sub0-neg_binary64_3134`
24×	`exp-neg_binary64_3194` `unswap-sqr_binary64_3115` `distribute-rgt-neg-out_binary64_3107`
23×	`unpow3_binary64_3213`
22×	`distribute-neg-out_binary64_3109` `associate-*l/_binary64_3090`
21×	`distribute-frac-neg_binary64_3110`
20×	`cube-prod_binary64_3175`
19×	`distribute-lft-neg-out_binary64_3106` `associate-/r*_binary64_3091`
18×	`unpow1/3_binary64_3214` `pow-plus_binary64_3210`
16×	`rem-exp-log_binary64_3187`
14×	`distribute-rgt-neg-in_binary64_3105`
12×	`log-rec_binary64_3235` `cube-unmult_binary64_3184` `+-rgt-identity_binary64_3132` `associate-/r/_binary64_3093`
11×	`rem-log-exp_binary64_3188` `--rgt-identity_binary64_3133` `distribute-lft-neg-in_binary64_3104`
10×	`mul-1-neg_binary64_3139` `remove-double-neg_binary64_3135` `distribute-rgt-out_binary64_3100`
9×	`unpow1/2_binary64_3211` `distribute-lft-out_binary64_3098`
7×	`cube-mult_binary64_3177`
4×	`rem-sqrt-square_binary64_3160` `distribute-rgt-out--_binary64_3101`
3×	`exp-sqrt_binary64_3200`
2×	`unpow2_binary64_3212` `cube-div_binary64_3176` `distribute-rgt1-in_binary64_3103` `count-2_binary64_3095`
1×	`log-E_binary64_3237` `pow-base-1_binary64_3207` `unpow-1_binary64_3204` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-3cbrt-lft_binary64_3172` `+-lft-identity_binary64_3131` `+-inverses_binary64_3126` `distribute-lft1-in_binary64_3102`
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` `unpow0_binary64_3206` `unpow1_binary64_3205` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `rem-square-sqrt_binary64_3159` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `div0_binary64_3128` `*-inverses_binary64_3127` `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` `swap-sqr_binary64_3114` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-lft-out--_binary64_3099`

Counts

22 → 18

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	72	335
1	115	335
2	174	329
3	468	295
4	1440	283
5	3343	281
6	4125	281
7	4083	281
8	4882	281
9	4788	281

prune24.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	12	6	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	7	19

Error

0.2b

Counts

19 → 7

Compiler

Compiled 234 to 180 computations (23.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
0.5b	(cbrt.f64 (*.f64 a 2))
0.6b	(cbrt.f64 g)

rewrite101.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`cbrt-prod_binary64_3178`
24×	`times-frac_binary64_3153`
21×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
6×	`associate-/l*_binary64_3092`
5×	`add-exp-log_binary64_3185`
4×	`associate-/r*_binary64_3091`
3×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183`
2×	`pow1/3_binary64_3229`
1×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144`

Counts

3 → 66

Calls

3 calls:

5.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
2.0ms	(cbrt.f64 (*.f64 a 2))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 923 to 548 computations (40.6% saved)

series682.0ms (11.6%)

Error

0.2b

Counts

3 → 12

Calls

3 calls:

425.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
139.0ms	(cbrt.f64 (*.f64 a 2))
107.0ms	(cbrt.f64 g)

Compiler

Compiled 393 to 374 computations (4.8% saved)

simplify109.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

637×	`associate-/r*_binary64_3091`
447×	`associate-l_binary64_3088`
345×	`associate-/r/_binary64_3093`
327×	`associate-*l/_binary64_3090`
270×	`log-div_binary64_3234`
203×	`associate-*r/_binary64_3089`
176×	`log-prod_binary64_3233`
164×	`distribute-rgt-in_binary64_3097`
155×	`distribute-lft-in_binary64_3096`
132×	`exp-prod_binary64_3199` `associate-/l*_binary64_3092`
124×	`exp-sum_binary64_3193`
106×	`sub-neg_binary64_3140`
81×	`log-pow_binary64_3236` `associate-/l/_binary64_3094`
77×	`times-frac_binary64_3153`
76×	`exp-diff_binary64_3195`
74×	`cancel-sign-sub-inv_binary64_3113`
68×	`div-sub_binary64_3152`
64×	`unsub-neg_binary64_3141`
58×	`*-commutative_binary64_3078`
52×	`sqr-pow_binary64_3119`
50×	`unswap-sqr_binary64_3115`
48×	`associate-r_binary64_3087`
42×	`distribute-rgt-neg-in_binary64_3105`
39×	`distribute-lft-neg-in_binary64_3104`
32×	`neg-sub0_binary64_3142`
30×	`exp-to-pow_binary64_3209` `neg-mul-1_binary64_3143`
27×	`distribute-neg-in_binary64_3108`
25×	`associate-+r-_binary64_3081`
19×	`associate-+r+_binary64_3079`
18×	`log-rec_binary64_3235` `distribute-rgt-neg-out_binary64_3107` `+-commutative_binary64_3077`
16×	`distribute-neg-frac_binary64_3111` `associate-+l-_binary64_3082`
15×	`distribute-neg-out_binary64_3109`
14×	`distribute-lft-out_binary64_3098`
13×	`unpow1/3_binary64_3214` `exp-neg_binary64_3194`
12×	`cube-div_binary64_3176` `distribute-lft-neg-out_binary64_3106` `associate-+l+_binary64_3080`
11×	`*-rgt-identity_binary64_3137`
10×	`pow-sqr_binary64_3120` `associate--r+_binary64_3083`
9×	`associate--r-_binary64_3086` `associate--l-_binary64_3085`
8×	`unpow3_binary64_3213` `pow-plus_binary64_3210` `cube-unmult_binary64_3184` `/-rgt-identity_binary64_3138` `sub0-neg_binary64_3134`
7×	`rem-exp-log_binary64_3187` `cube-prod_binary64_3175` `distribute-frac-neg_binary64_3110`
6×	`+-rgt-identity_binary64_3132` `distribute-rgt-out_binary64_3100` `associate--l+_binary64_3084`
4×	`rem-sqrt-square_binary64_3160` `remove-double-neg_binary64_3135` `--rgt-identity_binary64_3133` `swap-sqr_binary64_3114` `count-2_binary64_3095`
3×	`*-lft-identity_binary64_3136`
2×	`cube-mult_binary64_3177` `rem-3cbrt-lft_binary64_3172` `mul-1-neg_binary64_3139`
1×	`rec-exp_binary64_3197` `prod-exp_binary64_3196` `1-exp_binary64_3191` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `distribute-rgt-out--_binary64_3101`
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` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `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` `e-exp-1_binary64_3192` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `rem-square-sqrt_binary64_3159` `+-lft-identity_binary64_3131` `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` `difference-of-squares_binary64_3116` `cancel-sign-sub_binary64_3112` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-lft-out--_binary64_3099`

Counts

78 → 30

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	130	1290
1	222	1224
2	510	1201
3	1601	1164
4	4504	1160
5	4932	1160
6	4945	1160

prune34.0ms (0.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	26	4	30
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	26	11	37

Error

0.1b

Counts

37 → 11

Compiler

Compiled 363 to 257 computations (29.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.4b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.6b	(cbrt.f64 g)
0.6b	(cbrt.f64 (/.f64 1/2 a))

rewrite118.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`cbrt-prod_binary64_3178`
35×	`add-sqr-sqrt_binary64_3169`
21×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
20×	`times-frac_binary64_3153`
16×	`associate-r_binary64_3087`
6×	`unswap-sqr_binary64_3115` `associate-l_binary64_3088`
5×	`pow1_binary64_3208` `add-exp-log_binary64_3185`
4×	`pow1/3_binary64_3229`
3×	`add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183`
2×	`cbrt-div_binary64_3179` `div-inv_binary64_3144` `pow-prod-down_binary64_3218`
1×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `associate-r/_binary64_3089` `-commutative_binary64_3078`

Counts

3 → 74

Calls

3 calls:

11.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
3.0ms	(cbrt.f64 (/.f64 1/2 a))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 1000 to 629 computations (37.1% saved)

series627.0ms (10.7%)

Error

0.1b

Counts

3 → 12

Calls

3 calls:

374.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
136.0ms	(cbrt.f64 (/.f64 1/2 a))
105.0ms	(cbrt.f64 g)

Compiler

Compiled 403 to 384 computations (4.7% saved)

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

390×	`exp-diff_binary64_3195`
339×	`associate-l_binary64_3088`
249×	`associate-r_binary64_3087`
243×	`associate-+l+_binary64_3080`
241×	`associate-/r*_binary64_3091`
194×	`associate--r+_binary64_3083`
172×	`distribute-rgt-in_binary64_3097`
171×	`times-frac_binary64_3153`
157×	`log-div_binary64_3234` `distribute-lft-in_binary64_3096`
143×	`exp-prod_binary64_3199` `*-commutative_binary64_3078`
140×	`log-prod_binary64_3233`
133×	`associate-/l*_binary64_3092`
124×	`exp-sum_binary64_3193`
102×	`unswap-sqr_binary64_3115`
88×	`associate-+r-_binary64_3081`
77×	`sub-neg_binary64_3140`
72×	`unsub-neg_binary64_3141`
69×	`associate--l+_binary64_3084`
66×	`associate--r-_binary64_3086`
65×	`associate-+l-_binary64_3082`
63×	`sqr-pow_binary64_3119`
61×	`div-sub_binary64_3152`
60×	`cancel-sign-sub-inv_binary64_3113`
53×	`distribute-rgt-neg-in_binary64_3105`
45×	`distribute-lft-neg-in_binary64_3104`
42×	`*-rgt-identity_binary64_3137`
38×	`*-lft-identity_binary64_3136`
35×	`distribute-neg-in_binary64_3108` `associate-/l/_binary64_3094`
32×	`associate--l-_binary64_3085`
29×	`exp-to-pow_binary64_3209`
28×	`neg-sub0_binary64_3142` `associate-*l/_binary64_3090`
27×	`neg-mul-1_binary64_3143`
26×	`associate-+r+_binary64_3079`
24×	`log-pow_binary64_3236`
23×	`cube-prod_binary64_3175`
22×	`associate-*r/_binary64_3089`
17×	`distribute-rgt-neg-out_binary64_3107` `associate-/r/_binary64_3093`
15×	`+-commutative_binary64_3077`
14×	`pow-sqr_binary64_3120`
13×	`exp-neg_binary64_3194` `distribute-neg-out_binary64_3109`
12×	`unpow1/3_binary64_3214` `distribute-lft-out_binary64_3098`
11×	`unpow3_binary64_3213`
10×	`distribute-lft-neg-out_binary64_3106`
8×	`div-exp_binary64_3198` `cube-unmult_binary64_3184`
7×	`log-rec_binary64_3235` `rem-exp-log_binary64_3187` `distribute-frac-neg_binary64_3110`
6×	`distribute-rgt-out_binary64_3100`
5×	`rem-sqrt-square_binary64_3160` `sub0-neg_binary64_3134` `+-rgt-identity_binary64_3132`
4×	`/-rgt-identity_binary64_3138` `remove-double-neg_binary64_3135` `--rgt-identity_binary64_3133` `swap-sqr_binary64_3114` `count-2_binary64_3095`
3×	`pow-plus_binary64_3210` `rec-exp_binary64_3197` `prod-exp_binary64_3196`
2×	`unpow1/2_binary64_3211` `rem-3cbrt-lft_binary64_3172`
1×	`1-exp_binary64_3191` `exp-1-e_binary64_3190` `cube-mult_binary64_3177` `mul-1-neg_binary64_3139` `distribute-rgt-out--_binary64_3101`
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` `unpow2_binary64_3212` `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` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `cube-div_binary64_3176` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `rem-square-sqrt_binary64_3159` `+-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` `difference-of-squares_binary64_3116` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-lft-out--_binary64_3099`

Counts

86 → 40

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	145	1183
1	256	1179
2	659	1165
3	1709	1131
4	4562	1121
5	5185	1121

prune50.0ms (0.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	34	6	40
Fresh	4	4	8
Picked	1	0	1
Done	0	2	2
Total	39	12	51

Error

0.0b

Counts

51 → 12

Compiler

Compiled 530 to 365 computations (31.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
0.5b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 g)

rewrite113.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`cbrt-prod_binary64_3178` `add-sqr-sqrt_binary64_3169`
14×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
11×	`add-exp-log_binary64_3185`
6×	`pow1_binary64_3208` `associate-l_binary64_3088` `associate-r_binary64_3087` `times-frac_binary64_3153` `associate-/r*_binary64_3091`
5×	`add-cbrt-cube_binary64_3183`
4×	`pow1/3_binary64_3229` `add-log-exp_binary64_3186` `unswap-sqr_binary64_3115`
2×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `div-exp_binary64_3198` `cbrt-undiv_binary64_3181`
1×	`-commutative_binary64_3078` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `associate-/l_binary64_3092`

Counts

4 → 77

Calls

4 calls:

7.0ms	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
7.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
1.0ms	(cbrt.f64 g)
1.0ms	(cbrt.f64 a)

Compiler

Compiled 986 to 530 computations (46.2% saved)

series791.0ms (13.5%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

408.0ms	(/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 g)) (cbrt.f64 a))
139.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 g))
122.0ms	(cbrt.f64 a)
112.0ms	(cbrt.f64 g)

Compiler

Compiled 497 to 474 computations (4.6% saved)

simplify81.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

979×	`times-frac_binary64_3153`
499×	`associate-/l*_binary64_3092`
359×	`associate-l_binary64_3088`
297×	`associate-/r*_binary64_3091`
216×	`associate-/l/_binary64_3094`
186×	`log-div_binary64_3234` `associate-*l/_binary64_3090`
153×	`log-prod_binary64_3233`
137×	`associate-*r/_binary64_3089`
130×	`associate-/r/_binary64_3093`
101×	`exp-prod_binary64_3199`
96×	`exp-sum_binary64_3193`
63×	`associate-r_binary64_3087`
54×	`*-commutative_binary64_3078`
38×	`exp-diff_binary64_3195`
34×	`sub-neg_binary64_3140`
33×	`sqr-pow_binary64_3119`
30×	`distribute-lft-neg-in_binary64_3104`
29×	`distribute-rgt-neg-in_binary64_3105`
27×	`*-rgt-identity_binary64_3137`
24×	`cancel-sign-sub-inv_binary64_3113` `distribute-lft-in_binary64_3096`
23×	`distribute-rgt-in_binary64_3097`
18×	`neg-sub0_binary64_3142` `/-rgt-identity_binary64_3138`
17×	`log-rec_binary64_3235` `unswap-sqr_binary64_3115`
16×	`neg-mul-1_binary64_3143`
15×	`cube-div_binary64_3176`
14×	`log-pow_binary64_3236` `exp-neg_binary64_3194`
13×	`unpow3_binary64_3213` `*-lft-identity_binary64_3136`
12×	`unpow1/3_binary64_3214`
11×	`cube-prod_binary64_3175` `div-sub_binary64_3152`
9×	`unsub-neg_binary64_3141`
7×	`swap-sqr_binary64_3114` `distribute-neg-in_binary64_3108` `+-commutative_binary64_3077`
6×	`cube-unmult_binary64_3184` `rem-sqrt-square_binary64_3160` `pow-sqr_binary64_3120` `distribute-neg-frac_binary64_3111` `distribute-lft-neg-out_binary64_3106`
5×	`exp-to-pow_binary64_3209` `distribute-rgt-neg-out_binary64_3107`
4×	`rec-exp_binary64_3197` `distribute-neg-out_binary64_3109` `associate-+l-_binary64_3082`
3×	`associate--l+_binary64_3084`
2×	`pow-plus_binary64_3210` `rem-3cbrt-lft_binary64_3172` `mul-1-neg_binary64_3139` `distribute-frac-neg_binary64_3110` `distribute-lft-out_binary64_3098` `count-2_binary64_3095` `associate--r-_binary64_3086` `associate--l-_binary64_3085` `associate-+r-_binary64_3081`
1×	`unpow1/2_binary64_3211` `prod-exp_binary64_3196` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `remove-double-neg_binary64_3135` `associate-+l+_binary64_3080`
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` `unpow2_binary64_3212` `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` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-mult_binary64_3177` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `rem-square-sqrt_binary64_3159` `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` `difference-of-squares_binary64_3116` `cancel-sign-sub_binary64_3112` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-rgt-out--_binary64_3101` `distribute-rgt-out_binary64_3100` `distribute-lft-out--_binary64_3099` `associate--r+_binary64_3083` `associate-+r+_binary64_3079`

Counts

92 → 60

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	1152
1	270	1061
2	946	1042
3	4337	1023
4	4956	1023

prune54.0ms (0.9%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	1	8	9
Picked	1	0	1
Done	0	2	2
Total	56	16	72

Error

0.0b

Counts

72 → 16

Compiler

Compiled 571 to 353 computations (38.2% saved)

regimes1.5s (25.9%)

Accuracy

Total 0.8b remaining (96%)

Threshold costs 0.8b (96%)

Compiler

Compiled 11491 to 10003 computations (12.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1× *-commutative_binary64_3078

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 neg-mul-1_binary64_3143 neg-sub0_binary64_3142 unsub-neg_binary64_3141 sub-neg_binary64_3140 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 distribute-neg-in_binary64_3108 distribute-rgt-neg-out_binary64_3107 distribute-lft-neg-out_binary64_3106 distribute-rgt-neg-in_binary64_3105 distribute-lft-neg-in_binary64_3104 +-commutative_binary64_3077

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	9	11
2	9	11

end1.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

sample745.0ms (12.7%)

Algorithm

1×

intervals

Results

218.0ms

8000×

body

128

valid

Compiler

Compiled 217 to 199 computations (8.3% saved)

Details

analyze175.0ms (3%)

sample15.0ms (0.3%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite30.0ms (0.5%)

series367.0ms (6.2%)

simplify113.0ms (1.9%)

prune24.0ms (0.4%)

localize6.0ms (0.1%)

rewrite101.0ms (1.7%)

series682.0ms (11.6%)

simplify109.0ms (1.8%)

prune34.0ms (0.6%)

localize6.0ms (0.1%)

rewrite118.0ms (2%)

series627.0ms (10.7%)

simplify90.0ms (1.5%)

prune50.0ms (0.8%)

localize8.0ms (0.1%)

rewrite113.0ms (1.9%)

series791.0ms (13.5%)

simplify81.0ms (1.4%)

prune54.0ms (0.9%)

regimes1.5s (25.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample745.0ms (12.7%)

Profiling