Details

analyze256.0ms (1.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.5%	27.7%	68.8%	9
5.3%	24.4%	70.4%	10
7.5%	19.8%	72.7%	11
11.1%	16.2%	72.7%	12
11.3%	15.3%	73.5%	13
13.2%	13%	73.9%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample28.0ms (0.2%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
1.0ms	12×	body	128	nan
0.0ms	4×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify774.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

693×	`exp-prod_binary64_3199`
548×	`unsub-neg_binary64_3141`
407×	`swap-sqr_binary64_3114`
392×	`cancel-sign-sub-inv_binary64_3113`
387×	`sub-neg_binary64_3140`
282×	`cube-prod_binary64_3175`
260×	`log-pow_binary64_3236`
228×	`distribute-rgt-neg-in_binary64_3105`
164×	`+-commutative_binary64_3077`
147×	`associate--l+_binary64_3084` `associate--r+_binary64_3083`
142×	`distribute-lft-neg-in_binary64_3104` `distribute-rgt1-in_binary64_3103`
127×	`associate--r-_binary64_3086`
124×	`distribute-rgt-in_binary64_3097`
114×	`exp-diff_binary64_3195`
113×	`distribute-neg-out_binary64_3109`
110×	`distribute-neg-in_binary64_3108`
106×	`sqr-pow_binary64_3119`
103×	`*-commutative_binary64_3078`
102×	`associate--l-_binary64_3085`
100×	`associate-+l-_binary64_3082`
99×	`neg-mul-1_binary64_3143`
98×	`difference-of-squares_binary64_3116`
95×	`distribute-rgt-neg-out_binary64_3107`
94×	`exp-sum_binary64_3193` `neg-sub0_binary64_3142`
93×	`associate-l_binary64_3088`
84×	`associate-r_binary64_3087`
83×	`associate-*l/_binary64_3090`
73×	`unswap-sqr_binary64_3115` `associate-+r-_binary64_3081`
72×	`times-frac_binary64_3153`
70×	`distribute-lft-out--_binary64_3099`
69×	`distribute-lft-out_binary64_3098`
67×	`distribute-lft-neg-out_binary64_3106`
56×	`pow-plus_binary64_3210`
55×	`distribute-rgt-out--_binary64_3101`
54×	`pow-sqr_binary64_3120`
53×	`distribute-rgt-out_binary64_3100`
46×	`log-div_binary64_3234`
42×	`associate-*r/_binary64_3089`
36×	`sqr-neg_binary64_3161`
34×	`distribute-lft-in_binary64_3096` `associate-+r+_binary64_3079`
31×	`remove-double-neg_binary64_3135`
29×	`log-prod_binary64_3233` `exp-neg_binary64_3194`
28×	`associate-/r*_binary64_3091`
27×	`sub0-neg_binary64_3134`
24×	`mul0-lft_binary64_3129` `associate-+l+_binary64_3080`
23×	`mul0-rgt_binary64_3130`
22×	`distribute-lft1-in_binary64_3102`
16×	`--rgt-identity_binary64_3133`
12×	`exp-lft-sqr_binary64_3202` `+-rgt-identity_binary64_3132`
11×	`+-inverses_binary64_3126` `difference-of-sqr--1_binary64_3118` `count-2_binary64_3095`
8×	`exp-to-pow_binary64_3209`
7×	`cube-neg_binary64_3174` `div-sub_binary64_3152` `+-lft-identity_binary64_3131` `associate-/l*_binary64_3092`
6×	`cube-unmult_binary64_3184`
3×	`log-rec_binary64_3235`
2×	`distribute-neg-frac_binary64_3111`
1×	`log-E_binary64_3237` `unpow3_binary64_3213` `pow-base-1_binary64_3207` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-exp-log_binary64_3187` `cube-div_binary64_3176` `mul-1-neg_binary64_3139` `-rgt-identity_binary64_3137` `-lft-identity_binary64_3136` `difference-of-sqr-1_binary64_3117` `associate-/l/_binary64_3094`
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` `unpow1/3_binary64_3214` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `unpow0_binary64_3206` `unpow1_binary64_3205` `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` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `cube-mult_binary64_3177` `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` `/-rgt-identity_binary64_3138` `div0_binary64_3128` `*-inverses_binary64_3127` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `cancel-sign-sub_binary64_3112` `distribute-frac-neg_binary64_3110` `associate-/r/_binary64_3093`

Counts

1 → 5

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	21	17
2	55	17
3	129	17
4	278	17
5	566	17
6	531	17
7	1393	17
8	1866	17
9	4796	17

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Error

0.1b

Counts

6 → 1

Compiler

Compiled 66 to 29 computations (56.1% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 z (log.f64 t))
0.0b	(-.f64 (*.f64 x (log.f64 y)) y)
0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) (-.f64 z (log.f64 t)))
0.3b	(*.f64 x (log.f64 y))

rewrite152.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`*-un-lft-identity_binary64_3147`
26×	`add-sqr-sqrt_binary64_3169`
22×	`associate--l+_binary64_3084`
21×	`log-prod_binary64_3233`
20×	`cancel-sign-sub-inv_binary64_3113`
18×	`add-cube-cbrt_binary64_3182`
17×	`add-log-exp_binary64_3186`
12×	`pow1_binary64_3208`
10×	`diff-log_binary64_3239`
9×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `distribute-lft-out--_binary64_3099`
8×	`associate--r+_binary64_3083`
7×	`flip3--_binary64_3151` `flip--_binary64_3122`
6×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `log-pow_binary64_3236`
5×	`sub-neg_binary64_3140`
4×	`associate-r_binary64_3087` `frac-sub_binary64_3156`
3×	`associate-l_binary64_3088` `difference-of-squares_binary64_3116`
1×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `*-commutative_binary64_3078` `associate--r-_binary64_3086` `associate--l-_binary64_3085`

Counts

4 → 111

Calls

4 calls:

14.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) (-.f64 z (log.f64 t)))
5.0ms	(*.f64 x (log.f64 y))
5.0ms	(-.f64 z (log.f64 t))
5.0ms	(-.f64 (*.f64 x (log.f64 y)) y)

Compiler

Compiled 2163 to 462 computations (78.6% saved)

series1.3s (8.9%)

Error

0.1b

Counts

4 → 46

Calls

4 calls:

672.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) (-.f64 z (log.f64 t)))
221.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
190.0ms	(*.f64 x (log.f64 y))
159.0ms	(-.f64 z (log.f64 t))

Compiler

Compiled 1288 to 893 computations (30.7% saved)

simplify815.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

417×	`unsub-neg_binary64_3141`
304×	`*-commutative_binary64_3078`
252×	`associate-+l+_binary64_3080`
235×	`neg-mul-1_binary64_3143` `neg-sub0_binary64_3142`
215×	`associate-+r+_binary64_3079`
212×	`associate--r+_binary64_3083`
195×	`sub-neg_binary64_3140`
185×	`exp-sum_binary64_3193`
172×	`cancel-sign-sub-inv_binary64_3113`
165×	`+-commutative_binary64_3077`
154×	`exp-diff_binary64_3195`
131×	`exp-prod_binary64_3199`
119×	`distribute-rgt-in_binary64_3097`
118×	`times-frac_binary64_3153`
116×	`distribute-lft-in_binary64_3096`
99×	`distribute-lft-neg-out_binary64_3106`
93×	`distribute-neg-in_binary64_3108`
92×	`associate--l+_binary64_3084`
87×	`associate-+l-_binary64_3082`
81×	`associate-l_binary64_3088`
75×	`associate-+r-_binary64_3081`
74×	`associate-r_binary64_3087`
73×	`distribute-rgt-neg-out_binary64_3107`
72×	`distribute-rgt-neg-in_binary64_3105`
61×	`associate--r-_binary64_3086`
50×	`cube-prod_binary64_3175` `distribute-lft-neg-in_binary64_3104`
48×	`log-prod_binary64_3233`
35×	`sqr-pow_binary64_3119`
26×	`unswap-sqr_binary64_3115`
25×	`distribute-rgt-out_binary64_3100`
21×	`exp-neg_binary64_3194`
20×	`associate--l-_binary64_3085`
18×	`log-div_binary64_3234`
17×	`div-exp_binary64_3198` `*-lft-identity_binary64_3136`
16×	`div-sub_binary64_3152` `swap-sqr_binary64_3114`
15×	`log-pow_binary64_3236` `unpow3_binary64_3213` `pow-sqr_binary64_3120` `distribute-lft-out_binary64_3098` `associate-/r*_binary64_3091`
14×	`*-rgt-identity_binary64_3137`
13×	`+-rgt-identity_binary64_3132`
12×	`exp-to-pow_binary64_3209` `difference-of-squares_binary64_3116` `distribute-rgt-out--_binary64_3101`
11×	`sqr-neg_binary64_3161` `associate-/l*_binary64_3092`
8×	`prod-exp_binary64_3196`
7×	`cube-unmult_binary64_3184` `cube-mult_binary64_3177` `distribute-lft-out--_binary64_3099`
6×	`cube-neg_binary64_3174`
5×	`associate-*l/_binary64_3090`
4×	`log-rec_binary64_3235` `rem-sqrt-square_binary64_3160` `associate-/l/_binary64_3094` `associate-*r/_binary64_3089`
3×	`rem-3cbrt-lft_binary64_3172` `rem-square-sqrt_binary64_3159` `mul-1-neg_binary64_3139` `remove-double-neg_binary64_3135` `sub0-neg_binary64_3134` `distribute-neg-out_binary64_3109` `count-2_binary64_3095`
2×	`pow-base-1_binary64_3207` `rem-exp-log_binary64_3187` `--rgt-identity_binary64_3133` `distribute-frac-neg_binary64_3110` `associate-/r/_binary64_3093`
1×	`pow-plus_binary64_3210` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-log-exp_binary64_3188` `mul0-rgt_binary64_3130` `+-inverses_binary64_3126` `cancel-sign-sub_binary64_3112` `distribute-rgt1-in_binary64_3103`
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` `unpow1/3_binary64_3214` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `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` `rec-exp_binary64_3197` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `cube-div_binary64_3176` `rem-3cbrt-rft_binary64_3173` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `/-rgt-identity_binary64_3138` `+-lft-identity_binary64_3131` `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` `distribute-neg-frac_binary64_3111` `distribute-lft1-in_binary64_3102`

Counts

157 → 308

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	2276
1	566	2213
2	1697	2119
3	3898	2119

prune335.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	301	7	308
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	301	8	309

Error

0.0b

Counts

309 → 8

Compiler

Compiled 8107 to 1166 computations (85.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (log.f64 (cbrt.f64 y)) x)
0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (log.f64 (cbrt.f64 y)) x))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite138.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`log-prod_binary64_3233` `distribute-rgt-in_binary64_3097` `associate-+l+_binary64_3080` `distribute-lft-in_binary64_3096`
18×	`cbrt-prod_binary64_3178` `add-sqr-sqrt_binary64_3169`
16×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
7×	`pow1_binary64_3208`
6×	`add-log-exp_binary64_3186` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
5×	`associate-l_binary64_3088`
3×	`pow1/3_binary64_3229` `associate-r_binary64_3087`
2×	`log-pow_binary64_3236`
1×	`sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `*-commutative_binary64_3078`

Counts

4 → 77

Calls

4 calls:

10.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (log.f64 (cbrt.f64 y)) x))
4.0ms	(*.f64 (log.f64 (cbrt.f64 y)) x)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2148 to 776 computations (63.9% saved)

series1.2s (8.1%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

484.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (log.f64 (cbrt.f64 y)) x))
409.0ms	(*.f64 (log.f64 (cbrt.f64 y)) x)
128.0ms	(cbrt.f64 y)
114.0ms	(cbrt.f64 y)

Compiler

Compiled 1098 to 846 computations (23% saved)

simplify386.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

407×	`distribute-rgt-out_binary64_3100`
331×	`cancel-sign-sub-inv_binary64_3113`
275×	`distribute-rgt-neg-in_binary64_3105`
239×	`distribute-lft-neg-in_binary64_3104`
233×	`*-commutative_binary64_3078`
187×	`times-frac_binary64_3153`
157×	`distribute-rgt-in_binary64_3097`
156×	`distribute-lft-out_binary64_3098`
142×	`associate-l_binary64_3088`
140×	`distribute-lft-in_binary64_3096`
133×	`distribute-rgt-out--_binary64_3101`
128×	`associate-r_binary64_3087`
127×	`unswap-sqr_binary64_3115`
126×	`log-prod_binary64_3233`
111×	`sqr-pow_binary64_3119`
105×	`distribute-neg-in_binary64_3108`
102×	`associate--l+_binary64_3084`
96×	`cube-prod_binary64_3175` `associate-/r*_binary64_3091`
93×	`count-2_binary64_3095`
85×	`exp-prod_binary64_3199`
82×	`swap-sqr_binary64_3114`
72×	`associate-/l*_binary64_3092`
61×	`sub-neg_binary64_3140`
53×	`pow-sqr_binary64_3120`
51×	`exp-sum_binary64_3193` `neg-mul-1_binary64_3143` `neg-sub0_binary64_3142`
49×	`distribute-lft-neg-out_binary64_3106`
39×	`distribute-lft-out--_binary64_3099`
33×	`distribute-rgt1-in_binary64_3103`
27×	`log-pow_binary64_3236` `associate-/l/_binary64_3094`
25×	`exp-to-pow_binary64_3209`
24×	`distribute-rgt-neg-out_binary64_3107`
21×	`associate-+l+_binary64_3080`
19×	`+-commutative_binary64_3077`
18×	`unsub-neg_binary64_3141` `associate-+r+_binary64_3079`
17×	`unpow3_binary64_3213`
15×	`cube-mult_binary64_3177`
14×	`distribute-lft1-in_binary64_3102`
13×	`log-div_binary64_3234`
12×	`*-rgt-identity_binary64_3137`
10×	`-lft-identity_binary64_3136` `associate-r/_binary64_3089`
8×	`rem-sqrt-square_binary64_3160`
7×	`pow-plus_binary64_3210` `associate-*l/_binary64_3090` `associate-+r-_binary64_3081`
6×	`prod-exp_binary64_3196` `cube-unmult_binary64_3184` `+-rgt-identity_binary64_3132`
5×	`exp-lft-sqr_binary64_3202` `associate-+l-_binary64_3082`
4×	`difference-of-squares_binary64_3116` `associate--r+_binary64_3083`
3×	`log-rec_binary64_3235` `unpow1/3_binary64_3214` `div-exp_binary64_3198` `sub0-neg_binary64_3134` `associate-/r/_binary64_3093`
2×	`pow-base-1_binary64_3207` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187`
1×	`log-E_binary64_3237` `exp-diff_binary64_3195` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-3cbrt-lft_binary64_3172` `rem-cbrt-cube_binary64_3171` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `*-inverses_binary64_3127` `difference-of-sqr--1_binary64_3118` `associate--l-_binary64_3085`
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` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `unpow0_binary64_3206` `unpow1_binary64_3205` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `rec-exp_binary64_3197` `exp-neg_binary64_3194` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `cube-div_binary64_3176` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `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_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` `associate--r-_binary64_3086`

Counts

95 → 202

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	1289
1	264	1187
2	876	1023
3	2353	1001

prune294.0ms (2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	199	3	202
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	202	8	210

Error

Counts

210 → 8

Compiler

Compiled 6031 to 2427 computations (59.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 3 x) (log.f64 (cbrt.f64 y))) y)
0.0b	(-.f64 (-.f64 (.f64 (.f64 3 x) (log.f64 (cbrt.f64 y))) y) (-.f64 z (log.f64 t)))
0.3b	(.f64 (.f64 3 x) (log.f64 (cbrt.f64 y)))
0.6b	(cbrt.f64 y)

rewrite183.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

40×	`associate--l+_binary64_3084`
36×	`log-prod_binary64_3233`
32×	`*-un-lft-identity_binary64_3147`
26×	`add-sqr-sqrt_binary64_3169`
22×	`add-cube-cbrt_binary64_3182`
21×	`cbrt-prod_binary64_3178`
18×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096`
16×	`add-log-exp_binary64_3186` `cancel-sign-sub-inv_binary64_3113`
13×	`pow1_binary64_3208`
9×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `diff-log_binary64_3239`
7×	`distribute-lft-out--_binary64_3099`
6×	`flip3--_binary64_3151` `flip--_binary64_3122`
5×	`log-pow_binary64_3236` `associate-r_binary64_3087` `associate--r+_binary64_3083`
4×	`frac-sub_binary64_3156` `sub-neg_binary64_3140`
3×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
2×	`pow1/3_binary64_3229` `difference-of-squares_binary64_3116`
1×	`associate-l_binary64_3088` `*-commutative_binary64_3078` `associate--r-_binary64_3086` `associate--l-_binary64_3085`

Counts

4 → 120

Calls

4 calls:

16.0ms	(-.f64 (-.f64 (.f64 (.f64 3 x) (log.f64 (cbrt.f64 y))) y) (-.f64 z (log.f64 t)))
7.0ms	(-.f64 (.f64 (.f64 3 x) (log.f64 (cbrt.f64 y))) y)
6.0ms	(.f64 (.f64 3 x) (log.f64 (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2930 to 1237 computations (57.8% saved)

series2.2s (15.4%)

Error

Counts

4 → 40

Calls

4 calls:

1.2s	(-.f64 (-.f64 (.f64 (.f64 3 x) (log.f64 (cbrt.f64 y))) y) (-.f64 z (log.f64 t)))
461.0ms	(-.f64 (.f64 (.f64 3 x) (log.f64 (cbrt.f64 y))) y)
436.0ms	(.f64 (.f64 3 x) (log.f64 (cbrt.f64 y)))
115.0ms	(cbrt.f64 y)

Compiler

Compiled 1480 to 1226 computations (17.2% saved)

simplify821.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

253×	`associate-+l+_binary64_3080`
228×	`associate-+r+_binary64_3079` `+-commutative_binary64_3077`
214×	`associate--r+_binary64_3083`
202×	`associate-l_binary64_3088`
178×	`cancel-sign-sub-inv_binary64_3113`
173×	`sub-neg_binary64_3140`
167×	`associate-r_binary64_3087`
119×	`*-commutative_binary64_3078`
114×	`distribute-rgt-in_binary64_3097`
111×	`distribute-lft-in_binary64_3096`
106×	`distribute-rgt-neg-in_binary64_3105`
94×	`associate--l+_binary64_3084`
92×	`distribute-lft-neg-out_binary64_3106`
90×	`associate-+r-_binary64_3081`
89×	`distribute-lft-neg-in_binary64_3104`
87×	`associate-+l-_binary64_3082`
80×	`distribute-neg-in_binary64_3108`
74×	`exp-prod_binary64_3199`
73×	`associate--r-_binary64_3086`
70×	`log-prod_binary64_3233`
69×	`distribute-rgt-neg-out_binary64_3107`
63×	`sqr-pow_binary64_3119`
55×	`unswap-sqr_binary64_3115`
48×	`neg-mul-1_binary64_3143`
47×	`neg-sub0_binary64_3142`
46×	`cube-prod_binary64_3175`
37×	`distribute-lft-out_binary64_3098`
36×	`distribute-rgt-out_binary64_3100`
34×	`exp-sum_binary64_3193`
32×	`swap-sqr_binary64_3114`
25×	`pow-sqr_binary64_3120`
23×	`*-lft-identity_binary64_3136`
22×	`unsub-neg_binary64_3141`
21×	`exp-diff_binary64_3195`
19×	`-rgt-identity_binary64_3137` `associate-/r_binary64_3091`
16×	`associate--l-_binary64_3085`
15×	`unpow3_binary64_3213`
14×	`+-rgt-identity_binary64_3132`
12×	`cube-mult_binary64_3177` `difference-of-squares_binary64_3116` `cancel-sign-sub_binary64_3112`
11×	`log-pow_binary64_3236` `distribute-rgt-out--_binary64_3101` `associate-/l*_binary64_3092`
8×	`distribute-lft-out--_binary64_3099`
6×	`cube-unmult_binary64_3184` `count-2_binary64_3095` `associate-/l/_binary64_3094` `associate-*r/_binary64_3089`
5×	`log-div_binary64_3234` `div-exp_binary64_3198` `rem-sqrt-square_binary64_3160` `times-frac_binary64_3153` `associate-*l/_binary64_3090`
4×	`pow-plus_binary64_3210` `exp-to-pow_binary64_3209` `prod-exp_binary64_3196`
3×	`sub0-neg_binary64_3134`
2×	`log-rec_binary64_3235` `unpow1/3_binary64_3214` `exp-lft-cube_binary64_3203` `rem-3cbrt-lft_binary64_3172` `rem-square-sqrt_binary64_3159` `mul0-rgt_binary64_3130` `associate-/r/_binary64_3093`
1×	`pow-base-1_binary64_3207` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `div-sub_binary64_3152` `mul-1-neg_binary64_3139` `remove-double-neg_binary64_3135` `--rgt-identity_binary64_3133` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `distribute-rgt1-in_binary64_3103`
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` `unpow0_binary64_3206` `unpow1_binary64_3205` `unpow-1_binary64_3204` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `rec-exp_binary64_3197` `exp-neg_binary64_3194` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `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` `/-rgt-identity_binary64_3138` `+-lft-identity_binary64_3131` `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-lft1-in_binary64_3102`

Counts

160 → 487

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	3235
1	616	3154
2	2109	2459

prune738.0ms (5.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	486	1	487
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	487	8	495

Error

Counts

495 → 8

Compiler

Compiled 14147 to 4692 computations (66.8% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite76.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`cbrt-prod_binary64_3178`
9×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
4×	`pow1/3_binary64_3229` `pow1_binary64_3208` `add-log-exp_binary64_3186` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1527 to 570 computations (62.7% saved)

series517.0ms (3.6%)

Error

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt.f64 (cbrt.f64 y))
121.0ms	(cbrt.f64 y)
115.0ms	(cbrt.f64 y)
114.0ms	(cbrt.f64 y)

Compiler

Compiled 1101 to 777 computations (29.4% saved)

simplify112.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

642×	`unswap-sqr_binary64_3115`
575×	`distribute-rgt-in_binary64_3097`
568×	`distribute-lft-in_binary64_3096`
494×	`associate-+l+_binary64_3080`
166×	`log-prod_binary64_3233`
155×	`distribute-rgt-neg-in_binary64_3105` `distribute-lft-neg-in_binary64_3104`
108×	`sqr-pow_binary64_3119`
107×	`associate-l_binary64_3088`
85×	`*-commutative_binary64_3078`
73×	`associate-r_binary64_3087`
66×	`pow-sqr_binary64_3120`
62×	`associate-*r/_binary64_3089`
58×	`distribute-rgt-out_binary64_3100`
57×	`associate-*l/_binary64_3090`
45×	`cancel-sign-sub-inv_binary64_3113`
39×	`associate-/l*_binary64_3092`
37×	`associate-/l/_binary64_3094`
28×	`log-pow_binary64_3236`
26×	`neg-sub0_binary64_3142`
25×	`neg-mul-1_binary64_3143`
19×	`count-2_binary64_3095`
17×	`pow-plus_binary64_3210` `exp-prod_binary64_3199` `cube-unmult_binary64_3184`
15×	`distribute-lft-out_binary64_3098`
12×	`sub-neg_binary64_3140`
9×	`distribute-rgt-neg-out_binary64_3107` `distribute-lft-neg-out_binary64_3106`
8×	`cube-prod_binary64_3175`
7×	`rem-sqrt-square_binary64_3160`
6×	`associate-/r/_binary64_3093`
4×	`times-frac_binary64_3153`
3×	`unpow1/3_binary64_3214` `distribute-rgt1-in_binary64_3103` `associate-+r+_binary64_3079`
2×	`unpow3_binary64_3213` `rem-3cbrt-lft_binary64_3172` `swap-sqr_binary64_3114` `+-commutative_binary64_3077`
1×	`1-exp_binary64_3191` `cube-mult_binary64_3177` `rem-cbrt-cube_binary64_3171` `mul-1-neg_binary64_3139` `+-rgt-identity_binary64_3132` `-inverses_binary64_3127` `associate-/r_binary64_3091` `associate-+l-_binary64_3082` `associate-+r-_binary64_3081`
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` `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` `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-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `rem-square-sqrt_binary64_3159` `div-sub_binary64_3152` `unsub-neg_binary64_3141` `/-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` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `div0_binary64_3128` `+-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-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `distribute-neg-in_binary64_3108` `distribute-lft1-in_binary64_3102` `distribute-rgt-out--_binary64_3101` `distribute-lft-out--_binary64_3099` `associate--r-_binary64_3086` `associate--l-_binary64_3085` `associate--l+_binary64_3084` `associate--r+_binary64_3083`

Counts

59 → 26

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	424
1	61	424
2	158	424
3	509	400
4	1093	400

prune42.0ms (0.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	26	8	34

Error

Counts

34 → 8

Compiler

Compiled 848 to 333 computations (60.7% saved)

regimes1.6s (10.8%)

Accuracy

Total 0.1b remaining (98%)

Threshold costs 0.1b (98%)

Compiler

Compiled 19253 to 11855 computations (38.4% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

42×	`unsub-neg_binary64_3141`
32×	`neg-mul-1_binary64_3143` `neg-sub0_binary64_3142`
23×	`distribute-neg-out_binary64_3109`
11×	`sub-neg_binary64_3140` `remove-double-neg_binary64_3135` `distribute-rgt-neg-out_binary64_3107`
10×	`distribute-rgt-neg-in_binary64_3105` `+-commutative_binary64_3077`
9×	`distribute-lft-neg-out_binary64_3106` `*-commutative_binary64_3078`
8×	`cancel-sign-sub-inv_binary64_3113` `distribute-lft-neg-in_binary64_3104`
7×	`distribute-neg-in_binary64_3108`
1×	`sqr-neg_binary64_3161` `--rgt-identity_binary64_3133`
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` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `-rgt-identity_binary64_3137` `-lft-identity_binary64_3136` `sub0-neg_binary64_3134` `+-rgt-identity_binary64_3132` `+-lft-identity_binary64_3131` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	33
1	30	33
2	44	33
3	58	33
4	74	33
5	87	33
6	100	33
7	150	33
8	130	33

Proof

(=> (- f64 (- f64 (+ f64 (* f64 h0 (* f64 2 (log f64 (cbrt f64 h1)))) (* f64 1/3 (* f64 (log f64 h1) h0))) h1) (- f64 h2 (log f64 h3))))
sub-neg_binary64_3140 =>
(+ f64 (- f64 (+ f64 (* f64 h0 (* f64 2 (log f64 (cbrt f64 h1)))) (* f64 1/3 (* f64 (log f64 h1) h0))) h1) (neg f64 (=> (- f64 h2 (log f64 h3)))))
sub-neg_binary64_3140 =>
(+ f64 (- f64 (+ f64 (* f64 h0 (* f64 2 (log f64 (cbrt f64 h1)))) (* f64 1/3 (=> (* f64 (log f64 h1) h0)))) h1) (neg f64 (+ f64 h2 (neg f64 (log f64 h3)))))
*-commutative_binary64_3078 =>
(+ f64 (- f64 (+ f64 (* f64 h0 (* f64 2 (log f64 (cbrt f64 h1)))) (* f64 1/3 (* f64 h0 (log f64 h1)))) h1) (neg f64 (=> (+ f64 h2 (neg f64 (log f64 h3))))))
+-commutative_binary64_3077 =>
(+ f64 (- f64 (+ f64 (* f64 h0 (* f64 2 (log f64 (cbrt f64 h1)))) (* f64 1/3 (* f64 h0 (log f64 h1)))) h1) (=> (neg f64 (+ f64 (neg f64 (log f64 h3)) h2))))
distribute-neg-in_binary64_3108 =>
(+ f64 (- f64 (+ f64 (* f64 h0 (* f64 2 (log f64 (cbrt f64 h1)))) (* f64 1/3 (* f64 h0 (log f64 h1)))) h1) (+ f64 (=> (neg f64 (neg f64 (log f64 h3)))) (neg f64 h2)))
remove-double-neg_binary64_3135 =>
(+ f64 (- f64 (+ f64 (* f64 h0 (* f64 2 (log f64 (cbrt f64 h1)))) (* f64 1/3 (* f64 h0 (log f64 h1)))) h1) (=> (+ f64 (log f64 h3) (neg f64 h2))))
unsub-neg_binary64_3141 =>
(+ f64 (- f64 (+ f64 (* f64 h0 (* f64 2 (log f64 (cbrt f64 h1)))) (* f64 1/3 (* f64 h0 (log f64 h1)))) h1) (- f64 (log f64 h3) h2))

end0.0ms (0%)

sample2.4s (16.8%)

Algorithm

1×

intervals

Results

480.0ms	7999×	body	128	valid
16.0ms	384×	body	128	nan
1.0ms	25×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 2414 to 1488 computations (38.4% saved)

Details

analyze256.0ms (1.8%)

sample28.0ms (0.2%)

simplify774.0ms (5.4%)

prune6.0ms (0%)

localize10.0ms (0.1%)

rewrite152.0ms (1.1%)

series1.3s (8.9%)

simplify815.0ms (5.7%)

prune335.0ms (2.3%)

localize16.0ms (0.1%)

rewrite138.0ms (1%)

series1.2s (8.1%)

simplify386.0ms (2.7%)

prune294.0ms (2%)

localize13.0ms (0.1%)

rewrite183.0ms (1.3%)

series2.2s (15.4%)

simplify821.0ms (5.7%)

prune738.0ms (5.1%)

localize21.0ms (0.1%)

rewrite76.0ms (0.5%)

series517.0ms (3.6%)

simplify112.0ms (0.8%)

prune42.0ms (0.3%)

regimes1.6s (10.8%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample2.4s (16.8%)

Profiling