Details

analyze199.0ms (4.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

78×	`sub-neg_binary64_3140`
74×	`cancel-sign-sub-inv_binary64_3113`
40×	`distribute-rgt-neg-in_binary64_3105` `associate--r+_binary64_3083`
38×	`unsub-neg_binary64_3141`
28×	`associate-+l-_binary64_3082`
26×	`neg-mul-1_binary64_3143` `distribute-neg-in_binary64_3108` `associate--r-_binary64_3086`
24×	`distribute-lft-neg-in_binary64_3104`
22×	`+-commutative_binary64_3077`
20×	`distribute-lft-neg-out_binary64_3106` `distribute-rgt-in_binary64_3097`
18×	`neg-sub0_binary64_3142` `sub0-neg_binary64_3134` `associate--l+_binary64_3084`
14×	`associate--l-_binary64_3085`
12×	`associate-+r-_binary64_3081` `associate-+l+_binary64_3080` `associate-+r+_binary64_3079` `*-commutative_binary64_3078`
10×	`-lft-identity_binary64_3136` `distribute-lft-in_binary64_3096` `associate-r*_binary64_3087`
8×	`mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `distribute-rgt1-in_binary64_3103`
6×	`remove-double-neg_binary64_3135` `+-rgt-identity_binary64_3132` `distribute-rgt-neg-out_binary64_3107`
4×	`--rgt-identity_binary64_3133`
2×	`+-lft-identity_binary64_3131` `distribute-neg-out_binary64_3109` `distribute-rgt-out--_binary64_3101` `distribute-lft-out--_binary64_3099`
1×	`1-exp_binary64_3191`
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` `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` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `-rgt-identity_binary64_3137` `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_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-lft1-in_binary64_3102` `distribute-rgt-out_binary64_3100` `distribute-lft-out_binary64_3098` `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-l_binary64_3088`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	26	24
2	61	24
3	100	24
4	205	24
5	343	24
6	387	24
7	407	24
8	411	24
9	372	24
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
18.7%	56.2%	25.1%	5
28.1%	34.3%	37.6%	6
34.3%	28.1%	37.6%	7
39%	17.2%	43.8%	8
41%	13.7%	45.4%	9
43.1%	8.4%	48.5%	10
44%	6.7%	49.3%	11
45%	4.1%	50.8%	12
45.4%	3.3%	51.2%	13
45.9%	2.1%	52%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample16.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid
0.0ms	3×	body	128	nan

Compiler

Compiled 17 to 17 computations (0% saved)

simplify16.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

45×	`cancel-sign-sub-inv_binary64_3113`
44×	`sub-neg_binary64_3140`
31×	`unsub-neg_binary64_3141`
24×	`associate--r+_binary64_3083`
21×	`distribute-rgt-neg-in_binary64_3105`
18×	`neg-mul-1_binary64_3143`
17×	`associate--r-_binary64_3086`
16×	`distribute-neg-in_binary64_3108`
14×	`distribute-rgt-in_binary64_3097` `associate-+l-_binary64_3082` `+-commutative_binary64_3077`
13×	`neg-sub0_binary64_3142` `distribute-lft-neg-in_binary64_3104`
12×	`distribute-lft-neg-out_binary64_3106`
10×	`sub0-neg_binary64_3134` `associate--l+_binary64_3084`
9×	`distribute-lft-in_binary64_3096`
8×	`*-commutative_binary64_3078`
7×	`*-lft-identity_binary64_3136`
6×	`associate--l-_binary64_3085` `associate-+r-_binary64_3081` `associate-+l+_binary64_3080` `associate-+r+_binary64_3079`
5×	`distribute-rgt-neg-out_binary64_3107`
4×	`remove-double-neg_binary64_3135` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `associate-r_binary64_3087`
3×	`+-rgt-identity_binary64_3132` `distribute-rgt1-in_binary64_3103`
2×	`*-rgt-identity_binary64_3137` `--rgt-identity_binary64_3133` `+-lft-identity_binary64_3131`
1×	`1-exp_binary64_3191` `distribute-neg-out_binary64_3109` `distribute-lft-out--_binary64_3099`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-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` `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` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `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_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-lft1-in_binary64_3102` `distribute-rgt-out--_binary64_3101` `distribute-rgt-out_binary64_3100` `distribute-lft-out_binary64_3098` `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-l*_binary64_3088`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	16	12
2	35	12
3	57	12
4	109	12
5	192	12
6	231	12
7	239	12
8	238	12
9	207	12

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

0.1b

Counts

1 → 1

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
0.2b	(*.f64 y (sqrt.f64 x))

rewrite58.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-sqr-sqrt_binary64_3169`
7×	`add-log-exp_binary64_3186`
6×	`add-cube-cbrt_binary64_3182` `-un-lft-identity_binary64_3147` `associate-r*_binary64_3087`
4×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `sqrt-prod_binary64_3163` `associate-+l+_binary64_3080`
3×	`associate-l_binary64_3088` `cancel-sign-sub-inv_binary64_3113`
2×	`unswap-sqr_binary64_3115` `sum-log_binary64_3238`
1×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `*-commutative_binary64_3078` `diff-log_binary64_3239` `flip3-+_binary64_3150` `flip-+_binary64_3121` `associate-+l-_binary64_3082` `sub-neg_binary64_3140` `+-commutative_binary64_3077`

Counts

2 → 39

Calls

2 calls:

11.0ms	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
5.0ms	(*.f64 y (sqrt.f64 x))

Compiler

Compiled 562 to 250 computations (55.5% saved)

series172.0ms (4%)

Error

0.1b

Counts

2 → 15

Calls

2 calls:

89.0ms	(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
75.0ms	(*.f64 y (sqrt.f64 x))

Compiler

Compiled 298 to 231 computations (22.5% saved)

simplify71.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

768×	`unsub-neg_binary64_3141`
304×	`sub-neg_binary64_3140`
283×	`associate-l_binary64_3088`
258×	`distribute-rgt-in_binary64_3097`
253×	`neg-sub0_binary64_3142`
246×	`neg-mul-1_binary64_3143`
241×	`distribute-lft-in_binary64_3096`
232×	`associate-r_binary64_3087`
215×	`+-commutative_binary64_3077`
175×	`cancel-sign-sub-inv_binary64_3113`
155×	`times-frac_binary64_3153` `distribute-rgt-out_binary64_3100`
131×	`distribute-rgt-neg-out_binary64_3107`
122×	`distribute-lft-neg-out_binary64_3106`
109×	`exp-prod_binary64_3199`
97×	`exp-sum_binary64_3193`
87×	`associate-+l-_binary64_3082`
85×	`*-commutative_binary64_3078`
82×	`distribute-rgt-neg-in_binary64_3105`
75×	`associate--r+_binary64_3083`
60×	`distribute-lft-neg-in_binary64_3104`
59×	`associate-+r-_binary64_3081`
54×	`exp-diff_binary64_3195`
50×	`distribute-lft-out_binary64_3098`
44×	`sqr-pow_binary64_3119`
42×	`distribute-rgt-out--_binary64_3101`
41×	`unswap-sqr_binary64_3115` `associate-+l+_binary64_3080`
39×	`associate--l+_binary64_3084`
37×	`distribute-neg-in_binary64_3108`
35×	`associate-+r+_binary64_3079`
31×	`*-lft-identity_binary64_3136`
30×	`*-rgt-identity_binary64_3137`
20×	`cube-prod_binary64_3175`
19×	`log-prod_binary64_3233` `div-sub_binary64_3152`
18×	`associate--r-_binary64_3086`
15×	`swap-sqr_binary64_3114` `associate-/l*_binary64_3092`
13×	`distribute-neg-out_binary64_3109`
11×	`mul0-rgt_binary64_3130` `mul0-lft_binary64_3129`
10×	`associate-/r*_binary64_3091`
8×	`cube-unmult_binary64_3184` `sqr-neg_binary64_3161` `sub0-neg_binary64_3134`
7×	`rem-sqrt-square_binary64_3160` `remove-double-neg_binary64_3135` `+-rgt-identity_binary64_3132`
6×	`unpow3_binary64_3213` `div-exp_binary64_3198` `associate--l-_binary64_3085`
5×	`cube-neg_binary64_3174` `pow-sqr_binary64_3120` `associate-*r/_binary64_3089`
4×	`distribute-lft-out--_binary64_3099` `associate-*l/_binary64_3090`
3×	`--rgt-identity_binary64_3133`
2×	`unpow1/2_binary64_3211` `prod-exp_binary64_3196` `cube-mult_binary64_3177` `mul-1-neg_binary64_3139` `difference-of-sqr--1_binary64_3118` `difference-of-squares_binary64_3116` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `associate-/r/_binary64_3093`
1×	`pow-plus_binary64_3210` `rec-exp_binary64_3197` `exp-neg_binary64_3194` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-3cbrt-lft_binary64_3172` `rem-square-sqrt_binary64_3159` `count-2_binary64_3095` `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` `log-E_binary64_3237` `log-pow_binary64_3236` `log-rec_binary64_3235` `log-div_binary64_3234` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow2_binary64_3212` `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` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `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` `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`

Counts

54 → 36

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	590
1	193	557
2	543	552
3	1852	552
4	3405	552
5	5110	552

prune38.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	7	37

Error

0.0b

Counts

37 → 7

Compiler

Compiled 508 to 260 computations (48.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 y (fabs.f64 (cbrt.f64 x)))
0.3b	(.f64 (.f64 y (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite82.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64_3169`
12×	`associate-r_binary64_3087`
11×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
9×	`cbrt-prod_binary64_3178`
6×	`sqrt-prod_binary64_3163`
4×	`add-log-exp_binary64_3186` `pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `associate-l_binary64_3088`
2×	`pow1/3_binary64_3229` `*-commutative_binary64_3078`
1×	`unswap-sqr_binary64_3115`

Counts

4 → 64

Calls

4 calls:

7.0ms	(.f64 (.f64 y (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
4.0ms	(*.f64 y (fabs.f64 (cbrt.f64 x)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1202 to 418 computations (65.2% saved)

series620.0ms (14.5%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

317.0ms	(.f64 (.f64 y (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
109.0ms	(cbrt.f64 x)
105.0ms	(cbrt.f64 x)
71.0ms	(*.f64 y (fabs.f64 (cbrt.f64 x)))

Compiler

Compiled 834 to 669 computations (19.8% saved)

simplify66.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

592×	`unswap-sqr_binary64_3115`
581×	`associate-+l+_binary64_3080`
437×	`distribute-rgt-in_binary64_3097`
419×	`distribute-lft-in_binary64_3096`
311×	`*-commutative_binary64_3078`
164×	`associate-l_binary64_3088`
137×	`log-prod_binary64_3233`
134×	`sqr-pow_binary64_3119`
125×	`associate-r_binary64_3087`
119×	`distribute-rgt-neg-in_binary64_3105`
112×	`distribute-lft-neg-in_binary64_3104`
51×	`exp-prod_binary64_3199`
41×	`pow-sqr_binary64_3120`
40×	`associate-/l*_binary64_3092`
33×	`distribute-rgt-out_binary64_3100`
32×	`cancel-sign-sub-inv_binary64_3113`
30×	`count-2_binary64_3095`
27×	`cube-prod_binary64_3175`
26×	`rem-sqrt-square_binary64_3160` `neg-sub0_binary64_3142` `associate-+r+_binary64_3079`
25×	`neg-mul-1_binary64_3143` `associate-/l/_binary64_3094`
24×	`*-lft-identity_binary64_3136`
22×	`distribute-lft-out_binary64_3098`
21×	`log-pow_binary64_3236` `swap-sqr_binary64_3114` `associate-*r/_binary64_3089`
16×	`sub-neg_binary64_3140` `*-rgt-identity_binary64_3137`
15×	`associate-/r/_binary64_3093`
13×	`cube-unmult_binary64_3184`
12×	`associate-/r*_binary64_3091`
10×	`pow-plus_binary64_3210`
7×	`+-commutative_binary64_3077`
4×	`unpow3_binary64_3213` `unpow1/2_binary64_3211` `cube-mult_binary64_3177`
2×	`unpow1/3_binary64_3214` `associate-*l/_binary64_3090`
1×	`unpow2_binary64_3212` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-3cbrt-lft_binary64_3172` `sqr-abs_binary64_3162` `rem-square-sqrt_binary64_3159` `mul-1-neg_binary64_3139` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `associate-+l-_binary64_3082`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-rec_binary64_3235` `log-div_binary64_3234` `pow-base-0_binary64_3231` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `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-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-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-neg_binary64_3161` `times-frac_binary64_3153` `div-sub_binary64_3152` `unsub-neg_binary64_3141` `/-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` `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-out--_binary64_3101` `distribute-lft-out--_binary64_3099` `associate--r-_binary64_3086` `associate--l-_binary64_3085` `associate--l+_binary64_3084` `associate--r+_binary64_3083` `associate-+r-_binary64_3081`

Counts

82 → 54

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	997
1	196	905
2	673	905
3	1008	905
4	1747	905
5	5203	905

prune56.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	53	8	61

Error

0.0b

Counts

61 → 8

Compiler

Compiled 1003 to 397 computations (60.4% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 (cbrt.f64 x))
0.6b	(cbrt.f64 (cbrt.f64 x))

rewrite66.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`cbrt-prod_binary64_3178`
10×	`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 → 50

Calls

4 calls:

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

Compiler

Compiled 1188 to 370 computations (68.9% saved)

series509.0ms (11.9%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

142.0ms	(cbrt.f64 (cbrt.f64 x))
134.0ms	(cbrt.f64 (cbrt.f64 x))
116.0ms	(cbrt.f64 x)
103.0ms	(cbrt.f64 x)

Compiler

Compiled 774 to 549 computations (29.1% saved)

simplify103.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

513×	`log-prod_binary64_3233`
450×	`unswap-sqr_binary64_3115`
391×	`associate-+l+_binary64_3080`
359×	`associate-+r+_binary64_3079`
347×	`distribute-rgt-in_binary64_3097`
341×	`distribute-lft-in_binary64_3096`
328×	`distribute-rgt-neg-in_binary64_3105` `distribute-lft-neg-in_binary64_3104`
214×	`distribute-rgt-out_binary64_3100`
192×	`*-commutative_binary64_3078`
149×	`distribute-lft-out_binary64_3098`
137×	`cancel-sign-sub-inv_binary64_3113`
126×	`sqr-pow_binary64_3119`
123×	`associate-l_binary64_3088`
88×	`associate-r_binary64_3087`
84×	`log-pow_binary64_3236`
51×	`neg-sub0_binary64_3142`
50×	`neg-mul-1_binary64_3143`
38×	`pow-sqr_binary64_3120`
34×	`rem-sqrt-square_binary64_3160`
33×	`exp-prod_binary64_3199`
28×	`sub-neg_binary64_3140`
27×	`pow-plus_binary64_3210`
24×	`unpow3_binary64_3213` `unsub-neg_binary64_3141`
23×	`cube-prod_binary64_3175`
22×	`cube-unmult_binary64_3184`
19×	`distribute-rgt1-in_binary64_3103`
15×	`distribute-lft1-in_binary64_3102`
14×	`count-2_binary64_3095`
9×	`unpow2_binary64_3212` `distribute-rgt-neg-out_binary64_3107` `distribute-lft-neg-out_binary64_3106`
8×	`mul0-rgt_binary64_3130` `mul0-lft_binary64_3129`
7×	`cube-mult_binary64_3177`
5×	`associate-/l/_binary64_3094` `associate-*r/_binary64_3089`
4×	`associate-/l*_binary64_3092`
3×	`unpow1/3_binary64_3214` `unpow1_binary64_3205` `+-commutative_binary64_3077`
2×	`rem-3cbrt-lft_binary64_3172` `swap-sqr_binary64_3114` `associate-/r/_binary64_3093`
1×	`unpow1/2_binary64_3211` `1-exp_binary64_3191` `rem-cbrt-cube_binary64_3171` `times-frac_binary64_3153` `mul-1-neg_binary64_3139` `sub0-neg_binary64_3134` `--rgt-identity_binary64_3133` `associate-/r*_binary64_3091` `associate-+l-_binary64_3082`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-rec_binary64_3235` `log-div_binary64_3234` `pow-base-0_binary64_3231` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `div-exp_binary64_3198` `rec-exp_binary64_3197` `prod-exp_binary64_3196` `exp-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` `/-rgt-identity_binary64_3138` `-rgt-identity_binary64_3137` `-lft-identity_binary64_3136` `remove-double-neg_binary64_3135` `+-rgt-identity_binary64_3132` `+-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-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `distribute-neg-in_binary64_3108` `distribute-rgt-out--_binary64_3101` `distribute-lft-out--_binary64_3099` `associate-l/_binary64_3090` `associate--r-_binary64_3086` `associate--l-_binary64_3085` `associate--l+_binary64_3084` `associate--r+_binary64_3083` `associate-+r-_binary64_3081`

Counts

62 → 20

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	500
1	63	500
2	158	500
3	489	452
4	976	452
5	3453	452
6	4795	452
7	4957	452
8	4718	452

prune31.0ms (0.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	20	8	28

Error

0.0b

Counts

28 → 8

Compiler

Compiled 547 to 231 computations (57.8% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite88.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1451 to 463 computations (68.1% saved)

series486.0ms (11.4%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

126.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
122.0ms	(cbrt.f64 y)
121.0ms	(cbrt.f64 y)
105.0ms	(cbrt.f64 y)

Compiler

Compiled 627 to 447 computations (28.7% saved)

simplify99.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

586×	`log-prod_binary64_3233`
416×	`sqr-pow_binary64_3119`
335×	`associate-l_binary64_3088`
309×	`*-commutative_binary64_3078`
277×	`distribute-rgt-neg-in_binary64_3105`
257×	`distribute-lft-neg-in_binary64_3104`
227×	`associate-r_binary64_3087`
188×	`exp-prod_binary64_3199`
161×	`log-pow_binary64_3236`
149×	`cube-prod_binary64_3175`
128×	`pow-sqr_binary64_3120`
124×	`unswap-sqr_binary64_3115`
111×	`swap-sqr_binary64_3114`
104×	`associate-/l*_binary64_3092`
81×	`cancel-sign-sub-inv_binary64_3113`
75×	`associate-+l+_binary64_3080`
69×	`associate-+r+_binary64_3079`
61×	`distribute-rgt-in_binary64_3097`
60×	`distribute-lft-out_binary64_3098`
57×	`distribute-lft-in_binary64_3096`
54×	`neg-sub0_binary64_3142`
53×	`neg-mul-1_binary64_3143`
48×	`distribute-rgt-out_binary64_3100`
45×	`+-commutative_binary64_3077`
43×	`pow-plus_binary64_3210` `rem-sqrt-square_binary64_3160`
41×	`times-frac_binary64_3153` `sub-neg_binary64_3140`
37×	`associate-/r/_binary64_3093`
35×	`associate-*r/_binary64_3089`
32×	`unpow3_binary64_3213`
31×	`-rgt-identity_binary64_3137` `-lft-identity_binary64_3136` `associate-/l/_binary64_3094`
29×	`count-2_binary64_3095`
27×	`cube-mult_binary64_3177`
24×	`associate-/r*_binary64_3091`
17×	`log-div_binary64_3234` `cube-div_binary64_3176` `distribute-neg-frac_binary64_3111`
13×	`cube-unmult_binary64_3184` `distribute-rgt1-in_binary64_3103`
11×	`distribute-rgt-neg-out_binary64_3107`
10×	`unpow1/2_binary64_3211`
9×	`distribute-lft-neg-out_binary64_3106` `distribute-lft1-in_binary64_3102`
8×	`unpow2_binary64_3212` `associate-*l/_binary64_3090`
5×	`unpow1_binary64_3205`
3×	`unpow1/3_binary64_3214`
2×	`exp-sqrt_binary64_3200` `rem-3cbrt-lft_binary64_3172` `rem-cbrt-cube_binary64_3171` `mul-1-neg_binary64_3139`
1×	`exp-lft-sqr_binary64_3202` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-3cbrt-rft_binary64_3173` `rem-square-sqrt_binary64_3159` `sub0-neg_binary64_3134` `--rgt-identity_binary64_3133` `associate-+l-_binary64_3082`
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` `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-diff_binary64_3195` `exp-neg_binary64_3194` `exp-sum_binary64_3193` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-neg_binary64_3174` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `div-sub_binary64_3152` `unsub-neg_binary64_3141` `/-rgt-identity_binary64_3138` `remove-double-neg_binary64_3135` `+-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-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `distribute-neg-in_binary64_3108` `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` `associate-+r-_binary64_3081`

Counts

85 → 50

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	718
1	97	666
2	308	646
3	1135	632
4	2034	548
5	3257	548
6	4939	548
7	4873	548

prune48.0ms (1.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	50	8	58

Error

0.0b

Counts

58 → 8

Compiler

Compiled 857 to 346 computations (59.6% saved)

regimes240.0ms (5.6%)

Accuracy

Total 0.1b remaining (91.6%)

Threshold costs 0.1b (91.6%)

Compiler

Compiled 2174 to 1477 computations (32.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64_3077`
2×	`sub-neg_binary64_3140` `*-commutative_binary64_3078`
1×	`1-exp_binary64_3191` `neg-mul-1_binary64_3143` `neg-sub0_binary64_3142`
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` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `unsub-neg_binary64_3141` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	14	12
2	18	12
3	20	12
4	21	12
5	20	12

end0.0ms (0%)

sample1.2s (27%)

Algorithm

1×

intervals

Results

247.0ms	7998×	body	128	valid
4.0ms	141×	body	128	nan
2.0ms	79×	body	128	invalid
0.0ms	2×	body	1024	valid

Compiler

Compiled 735 to 502 computations (31.7% saved)

Iter	Nodes	Cost
0	12	24
1	26	24
2	61	24
3	100	24
4	205	24
5	343	24
6	387	24
7	407	24
8	411	24
9	372	24
0	2	2
1	2	2

Iter	Nodes	Cost
0	12	24
1	26	24
2	61	24
3	100	24
4	205	24
5	343	24
6	387	24
7	407	24
8	411	24
9	372	24
0	2	2
1	2	2

Details

analyze199.0ms (4.7%)

sample16.0ms (0.4%)

simplify16.0ms (0.4%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite58.0ms (1.4%)

series172.0ms (4%)

simplify71.0ms (1.7%)

prune38.0ms (0.9%)

localize11.0ms (0.3%)

rewrite82.0ms (1.9%)

series620.0ms (14.5%)

simplify66.0ms (1.6%)

prune56.0ms (1.3%)

localize14.0ms (0.3%)

rewrite66.0ms (1.6%)

series509.0ms (11.9%)

simplify103.0ms (2.4%)

prune31.0ms (0.7%)

localize10.0ms (0.2%)

rewrite88.0ms (2.1%)

series486.0ms (11.4%)

simplify99.0ms (2.3%)

prune48.0ms (1.1%)

regimes240.0ms (5.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (27%)

Profiling

Iter	Nodes	Cost
0	12	24
1	26	24
2	61	24
3	100	24
4	205	24
5	343	24
6	387	24
7	407	24
8	411	24
9	372	24
0	2	2
1	2	2