Details

analyze285.0ms (13.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

1268×	`sqr-pow_binary64_3119`
651×	`pow-sqr_binary64_3120`
362×	`unswap-sqr_binary64_3115`
275×	`cube-prod_binary64_3175`
201×	`unpow3_binary64_3213`
198×	`cube-mult_binary64_3177`
186×	`associate-l_binary64_3088`
137×	`*-commutative_binary64_3078`
124×	`associate-r_binary64_3087`
48×	`pow-plus_binary64_3210`
16×	`rem-sqrt-square_binary64_3160` `-rgt-identity_binary64_3137` `-lft-identity_binary64_3136`
9×	`cube-unmult_binary64_3184`
6×	`unpow2_binary64_3212` `unpow1/2_binary64_3211` `unpow1_binary64_3205`
4×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096`
3×	`+-commutative_binary64_3077`
2×	`distribute-lft1-in_binary64_3102` `distribute-rgt-out_binary64_3100`
1×	`1-exp_binary64_3191` `distribute-lft-out_binary64_3098`
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` `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` `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` `exp-1-e_binary64_3190` `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` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `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` `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` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `difference-of-squares_binary64_3116` `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-rgt-out--_binary64_3101` `distribute-lft-out--_binary64_3099` `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` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	14	10
2	26	10
3	38	10
4	51	10
5	75	10
6	148	10
7	371	10
8	636	10
9	642	10
10	772	10
11	926	10
12	1143	10
13	1441	10
14	1814	10
15	2257	10
16	2780	10
17	3000	10
18	3070	10
19	3080	10
20	3082	10
21	3082	10
22	3651	10
23	4292	10
24	4762	10
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	25%	75%	0
25%	0%	75%	1

Compiler

Compiled 13 to 7 computations (46.2% saved)

sample17.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 22 to 12 computations (45.5% saved)

simplify143.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

1268×	`sqr-pow_binary64_3119`
651×	`pow-sqr_binary64_3120`
362×	`unswap-sqr_binary64_3115`
275×	`cube-prod_binary64_3175`
201×	`unpow3_binary64_3213`
198×	`cube-mult_binary64_3177`
186×	`associate-l_binary64_3088`
137×	`*-commutative_binary64_3078`
124×	`associate-r_binary64_3087`
48×	`pow-plus_binary64_3210`
16×	`rem-sqrt-square_binary64_3160` `-rgt-identity_binary64_3137` `-lft-identity_binary64_3136`
9×	`cube-unmult_binary64_3184`
6×	`unpow2_binary64_3212` `unpow1/2_binary64_3211` `unpow1_binary64_3205`
4×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096`
3×	`+-commutative_binary64_3077`
2×	`distribute-lft1-in_binary64_3102` `distribute-rgt-out_binary64_3100`
1×	`1-exp_binary64_3191` `distribute-lft-out_binary64_3098`
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` `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` `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` `exp-1-e_binary64_3190` `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` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `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` `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` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `difference-of-squares_binary64_3116` `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-rgt-out--_binary64_3101` `distribute-lft-out--_binary64_3099` `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` `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`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	14	10
2	26	10
3	38	10
4	51	10
5	75	10
6	148	10
7	371	10
8	636	10
9	642	10
10	772	10
11	926	10
12	1143	10
13	1441	10
14	1814	10
15	2257	10
16	2780	10
17	3000	10
18	3070	10
19	3080	10
20	3082	10
21	3082	10
22	3651	10
23	4292	10
24	4762	10

prune3.0ms (0.2%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (pow.f64 x 3))

rewrite24.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_3186`
2×	`cube-mult_binary64_3177`
1×	`sum-log_binary64_3238` `pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `flip3-+_binary64_3150` `*-un-lft-identity_binary64_3147` `flip-+_binary64_3121` `distribute-rgt1-in_binary64_3103` `unpow3_binary64_3213` `distribute-rgt-out_binary64_3100` `distribute-lft-out_binary64_3098` `+-commutative_binary64_3077`

Counts

1 → 14

Calls

1 calls:

10.0ms

(+.f64 (*.f64 x x) (pow.f64 x 3))

Compiler

Compiled 199 to 100 computations (49.7% saved)

series88.0ms (4.1%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

85.0ms

(+.f64 (*.f64 x x) (pow.f64 x 3))

Compiler

Compiled 81 to 67 computations (17.3% saved)

simplify102.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

493×	`distribute-rgt-out_binary64_3100`
403×	`unswap-sqr_binary64_3115`
331×	`distribute-rgt-neg-in_binary64_3105`
281×	`distribute-lft-out_binary64_3098`
262×	`distribute-rgt-in_binary64_3097`
238×	`associate-l_binary64_3088`
226×	`distribute-lft-in_binary64_3096`
223×	`cancel-sign-sub-inv_binary64_3113`
196×	`associate-r_binary64_3087`
149×	`sub-neg_binary64_3140`
124×	`unsub-neg_binary64_3141`
113×	`difference-of-squares_binary64_3116`
96×	`exp-prod_binary64_3199`
91×	`distribute-rgt-out--_binary64_3101`
89×	`sqr-pow_binary64_3119`
86×	`associate-+l+_binary64_3080`
77×	`distribute-lft-neg-in_binary64_3104` `associate-+r+_binary64_3079`
66×	`neg-mul-1_binary64_3143`
65×	`neg-sub0_binary64_3142`
60×	`log-prod_binary64_3233`
56×	`*-commutative_binary64_3078`
49×	`cube-prod_binary64_3175`
44×	`distribute-rgt1-in_binary64_3103`
42×	`distribute-lft-neg-out_binary64_3106`
41×	`pow-plus_binary64_3210` `distribute-neg-in_binary64_3108`
40×	`unpow3_binary64_3213` `distribute-lft-out--_binary64_3099`
39×	`swap-sqr_binary64_3114`
29×	`distribute-rgt-neg-out_binary64_3107`
27×	`associate-+l-_binary64_3082`
25×	`distribute-lft1-in_binary64_3102`
24×	`pow-sqr_binary64_3120`
21×	`+-commutative_binary64_3077`
19×	`sub0-neg_binary64_3134`
18×	`associate-+r-_binary64_3081`
17×	`log-pow_binary64_3236`
14×	`+-rgt-identity_binary64_3132`
13×	`exp-sum_binary64_3193` `cube-unmult_binary64_3184` `-rgt-identity_binary64_3137` `-lft-identity_binary64_3136`
12×	`distribute-neg-out_binary64_3109`
11×	`mul0-rgt_binary64_3130` `mul0-lft_binary64_3129`
9×	`cube-mult_binary64_3177`
6×	`+-lft-identity_binary64_3131` `associate-/l*_binary64_3092`
5×	`cancel-sign-sub_binary64_3112` `associate--r+_binary64_3083`
4×	`difference-of-sqr-1_binary64_3117` `associate--l+_binary64_3084`
3×	`unpow2_binary64_3212`
2×	`unpow1_binary64_3205` `associate-/l/_binary64_3094` `associate-*r/_binary64_3089`
1×	`unpow1/2_binary64_3211` `prod-exp_binary64_3196` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-sqrt-square_binary64_3160` `times-frac_binary64_3153` `remove-double-neg_binary64_3135` `difference-of-sqr--1_binary64_3118` `associate-/r/_binary64_3093` `associate-/r*_binary64_3091`
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` `unpow1/3_binary64_3214` `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` `exp-diff_binary64_3195` `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` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `rem-square-sqrt_binary64_3159` `div-sub_binary64_3152` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `--rgt-identity_binary64_3133` `div0_binary64_3128` `-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `count-2_binary64_3095` `associate-l/_binary64_3090` `associate--r-_binary64_3086` `associate--l-_binary64_3085`

Counts

20 → 8

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	253
1	95	223
2	320	220
3	1255	220
4	4057	217
5	4878	217
6	4987	217
7	4919	217

prune10.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	7	1	8
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	7	2	9

Error

0.0b

Counts

9 → 2

Compiler

Compiled 87 to 53 computations (39.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (pow.f64 x 3))
0.1b	(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3)
22.0b	(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))

rewrite106.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`cbrt-prod_binary64_3178`
12×	`unpow-prod-down_binary64_3226` `cube-mult_binary64_3177` `cube-prod_binary64_3175`
9×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
7×	`unpow3_binary64_3213`
5×	`add-log-exp_binary64_3186` `distribute-rgt1-in_binary64_3103` `distribute-rgt-out_binary64_3100` `distribute-lft-out_binary64_3098`
4×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `cube-div_binary64_3176`
3×	`flip3-+_binary64_3150` `flip-+_binary64_3121` `pow-unpow_binary64_3224`
2×	`cbrt-div_binary64_3179` `sqr-pow_binary64_3119`
1×	`pow1/3_binary64_3229` `rem-cbrt-cube_binary64_3171` `pow-pow_binary64_3219` `pow-to-exp_binary64_3216` `pow-exp_binary64_3215` `rem-cube-cbrt_binary64_3170` `sum-log_binary64_3238` `+-commutative_binary64_3077`

Counts

3 → 74

Calls

3 calls:

7.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))
7.0ms	(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3)
6.0ms	(+.f64 (*.f64 x x) (pow.f64 x 3))

Compiler

Compiled 1414 to 867 computations (38.7% saved)

series237.0ms (10.8%)

Error

Counts

3 → 24

Calls

3 calls:

82.0ms	(+.f64 (*.f64 x x) (pow.f64 x 3))
79.0ms	(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3))
58.0ms	(pow.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)) 3)

Compiler

Compiled 507 to 430 computations (15.2% saved)

simplify81.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

584×	`unswap-sqr_binary64_3115`
354×	`exp-prod_binary64_3199`
282×	`distribute-rgt-in_binary64_3097`
259×	`distribute-lft-in_binary64_3096`
238×	`*-commutative_binary64_3078`
232×	`swap-sqr_binary64_3114`
230×	`sqr-pow_binary64_3119`
228×	`cube-prod_binary64_3175`
163×	`log-prod_binary64_3233`
113×	`difference-of-squares_binary64_3116`
100×	`exp-sum_binary64_3193`
95×	`distribute-rgt-out_binary64_3100`
71×	`associate-l_binary64_3088`
69×	`associate-r_binary64_3087`
53×	`pow-sqr_binary64_3120` `distribute-lft-out_binary64_3098`
49×	`cancel-sign-sub-inv_binary64_3113`
48×	`associate-+l+_binary64_3080`
47×	`unpow3_binary64_3213` `sub-neg_binary64_3140`
36×	`cube-mult_binary64_3177`
34×	`+-commutative_binary64_3077`
33×	`associate-+r+_binary64_3079`
31×	`pow-plus_binary64_3210`
28×	`distribute-rgt-neg-in_binary64_3105`
24×	`log-pow_binary64_3236` `neg-mul-1_binary64_3143` `neg-sub0_binary64_3142`
21×	`unsub-neg_binary64_3141` `distribute-lft-neg-in_binary64_3104` `distribute-rgt-out--_binary64_3101`
16×	`cube-unmult_binary64_3184`
14×	`rem-sqrt-square_binary64_3160` `distribute-rgt1-in_binary64_3103`
12×	`rem-cbrt-cube_binary64_3171`
11×	`distribute-lft-neg-out_binary64_3106`
9×	`-rgt-identity_binary64_3137` `-lft-identity_binary64_3136`
8×	`associate-+r-_binary64_3081`
7×	`distribute-lft-out--_binary64_3099` `associate-+l-_binary64_3082`
6×	`+-rgt-identity_binary64_3132`
5×	`distribute-rgt-neg-out_binary64_3107`
3×	`sub0-neg_binary64_3134` `count-2_binary64_3095` `associate-/l/_binary64_3094` `associate-*r/_binary64_3089`
2×	`unpow1/2_binary64_3211` `unpow1_binary64_3205` `sqr-neg_binary64_3161` `distribute-lft1-in_binary64_3102` `associate-/l*_binary64_3092`
1×	`unpow2_binary64_3212` `prod-exp_binary64_3196` `1-exp_binary64_3191` `rem-3cbrt-lft_binary64_3172` `rem-cube-cbrt_binary64_3170` `rem-square-sqrt_binary64_3159` `difference-of-sqr--1_binary64_3118` `associate-/r/_binary64_3093` `associate--l+_binary64_3084`
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` `unpow1/3_binary64_3214` `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` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `e-exp-1_binary64_3192` `exp-1-e_binary64_3190` `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` `sqr-abs_binary64_3162` `times-frac_binary64_3153` `div-sub_binary64_3152` `mul-1-neg_binary64_3139` `/-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_3117` `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` `associate-/r_binary64_3091` `associate-*l/_binary64_3090` `associate--r-_binary64_3086` `associate--l-_binary64_3085` `associate--r+_binary64_3083`

Counts

98 → 66

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1559
1	238	1412
2	868	1391
3	2994	1382
4	4962	1382

prune60.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	65	3	68

Error

Counts

68 → 3

Compiler

Compiled 903 to 559 computations (38.1% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (+.f64 x 1) (.f64 x x))

rewrite25.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
4×	`-un-lft-identity_binary64_3147` `associate-l*_binary64_3088`
3×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `add-sqr-sqrt_binary64_3169`
2×	`add-cube-cbrt_binary64_3182` `associate-*l/_binary64_3090`
1×	`add-log-exp_binary64_3186` `unswap-sqr_binary64_3115` `flip3-+_binary64_3150` `flip-+_binary64_3121` `distribute-lft-out_binary64_3098` `associate-r_binary64_3087` `*-commutative_binary64_3078`

Counts

1 → 22

Calls

1 calls:

8.0ms

(*.f64 (+.f64 x 1) (*.f64 x x))

Compiler

Compiled 304 to 173 computations (43.1% saved)

series73.0ms (3.3%)

Error

Counts

1 → 6

Calls

1 calls:

69.0ms

(*.f64 (+.f64 x 1) (*.f64 x x))

Compiler

Compiled 81 to 67 computations (17.3% saved)

simplify88.0ms (4%)

Algorithm

1×	egg-herbie

Rules

652×	`distribute-rgt-in_binary64_3097`
502×	`distribute-lft-in_binary64_3096`
334×	`associate-l_binary64_3088`
298×	`unswap-sqr_binary64_3115`
253×	`*-commutative_binary64_3078`
210×	`associate-r_binary64_3087`
191×	`sqr-pow_binary64_3119`
150×	`exp-prod_binary64_3199` `associate-/l*_binary64_3092`
149×	`associate-+l+_binary64_3080`
142×	`associate-/l/_binary64_3094`
135×	`associate-+r+_binary64_3079`
109×	`associate-/r/_binary64_3093`
105×	`distribute-rgt-out_binary64_3100`
98×	`log-prod_binary64_3233`
70×	`associate-/r*_binary64_3091`
64×	`pow-sqr_binary64_3120` `associate-*r/_binary64_3089`
52×	`distribute-rgt-neg-in_binary64_3105`
50×	`difference-of-squares_binary64_3116`
48×	`distribute-lft-out_binary64_3098`
47×	`log-div_binary64_3234` `cube-div_binary64_3176` `distribute-lft-neg-in_binary64_3104`
46×	`cube-prod_binary64_3175`
43×	`cancel-sign-sub-inv_binary64_3113` `distribute-rgt1-in_binary64_3103`
41×	`distribute-lft1-in_binary64_3102`
38×	`associate-*l/_binary64_3090`
36×	`sub-neg_binary64_3140`
35×	`associate-+r-_binary64_3081`
32×	`*-rgt-identity_binary64_3137` `associate-+l-_binary64_3082`
30×	`distribute-rgt-out--_binary64_3101`
29×	`pow-plus_binary64_3210`
27×	`exp-sum_binary64_3193`
25×	`times-frac_binary64_3153` `*-lft-identity_binary64_3136`
22×	`unpow3_binary64_3213`
18×	`unsub-neg_binary64_3141`
17×	`log-pow_binary64_3236` `cube-mult_binary64_3177` `swap-sqr_binary64_3114`
16×	`neg-sub0_binary64_3142`
15×	`associate--r+_binary64_3083`
14×	`+-commutative_binary64_3077`
11×	`count-2_binary64_3095`
10×	`cube-unmult_binary64_3184` `neg-mul-1_binary64_3143`
8×	`unpow1/2_binary64_3211`
7×	`exp-sqrt_binary64_3200`
6×	`mul-1-neg_binary64_3139` `distribute-neg-in_binary64_3108`
5×	`unpow2_binary64_3212`
4×	`sub0-neg_binary64_3134` `+-rgt-identity_binary64_3132` `difference-of-sqr-1_binary64_3117` `distribute-rgt-neg-out_binary64_3107` `distribute-lft-neg-out_binary64_3106`
3×	`rem-sqrt-square_binary64_3160` `difference-of-sqr--1_binary64_3118` `distribute-lft-out--_binary64_3099`
2×	`unpow1_binary64_3205`
1×	`exp-lft-sqr_binary64_3202` `exp-diff_binary64_3195` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `/-rgt-identity_binary64_3138` `associate--r-_binary64_3086`
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` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `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` `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-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-square-sqrt_binary64_3159` `div-sub_binary64_3152` `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` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `associate--l-_binary64_3085` `associate--l+_binary64_3084`

Counts

28 → 23

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	360
1	114	306
2	317	302
3	923	300
4	2815	300
5	3163	300
6	4644	300
7	4961	300

prune16.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	23	3	26

Error

Counts

26 → 3

Compiler

Compiled 250 to 141 computations (43.6% saved)

regimes48.0ms (2.2%)

Accuracy

Total 0.0b remaining (89.4%)

Threshold costs 0.0b (89.4%)

Compiler

Compiled 350 to 252 computations (28% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1× +-commutative_binary64_3077

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_3078

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	7	10
2	7	10

end0.0ms (0%)

sample755.0ms (34.6%)

Algorithm

1×

intervals

Results

161.0ms	8000×	body	128	valid
106.0ms	8000×	pre	128	true

Compiler

Compiled 192 to 139 computations (27.6% saved)

Details

analyze285.0ms (13.1%)

sample17.0ms (0.8%)

simplify143.0ms (6.5%)

prune3.0ms (0.2%)

localize4.0ms (0.2%)

rewrite24.0ms (1.1%)

series88.0ms (4.1%)

simplify102.0ms (4.7%)

prune10.0ms (0.5%)

localize7.0ms (0.3%)

rewrite106.0ms (4.9%)

series237.0ms (10.8%)

simplify81.0ms (3.7%)

prune60.0ms (2.8%)

localize4.0ms (0.2%)

rewrite25.0ms (1.1%)

series73.0ms (3.3%)

simplify88.0ms (4%)

prune16.0ms (0.7%)

regimes48.0ms (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample755.0ms (34.6%)

Profiling