Details

analyze1.2s (5.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

867×	`unsub-neg_binary64_3141`
711×	`div-sub_binary64_3152`
415×	`distribute-lft-in_binary64_3096`
400×	`distribute-rgt-in_binary64_3097`
241×	`*-commutative_binary64_3078`
223×	`associate-+l+_binary64_3080`
220×	`associate-+r+_binary64_3079`
210×	`neg-sub0_binary64_3142`
181×	`associate-r_binary64_3087`
180×	`associate-l_binary64_3088`
131×	`neg-mul-1_binary64_3143`
122×	`associate-*l/_binary64_3090`
109×	`distribute-rgt-neg-out_binary64_3107`
108×	`associate-*r/_binary64_3089`
107×	`distribute-lft-neg-out_binary64_3106`
103×	`+-commutative_binary64_3077`
100×	`sub-neg_binary64_3140`
90×	`associate-/l*_binary64_3092`
39×	`associate-+l-_binary64_3082` `associate-+r-_binary64_3081`
33×	`associate-/r/_binary64_3093`
28×	`associate--r+_binary64_3083`
21×	`distribute-rgt-neg-in_binary64_3105`
19×	`distribute-lft-neg-in_binary64_3104`
17×	`sub0-neg_binary64_3134`
14×	`associate--r-_binary64_3086`
12×	`distribute-neg-in_binary64_3108`
10×	`distribute-neg-frac_binary64_3111`
5×	`+-rgt-identity_binary64_3132`
4×	`distribute-frac-neg_binary64_3110`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-pow_binary64_3236` `log-rec_binary64_3235` `log-div_binary64_3234` `log-prod_binary64_3233` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow3_binary64_3213` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `pow-plus_binary64_3210` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow1_binary64_3205` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `exp-prod_binary64_3199` `div-exp_binary64_3198` `rec-exp_binary64_3197` `prod-exp_binary64_3196` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `exp-sum_binary64_3193` `e-exp-1_binary64_3192` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-unmult_binary64_3184` `cube-mult_binary64_3177` `cube-div_binary64_3176` `cube-prod_binary64_3175` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `rem-3cbrt-lft_binary64_3172` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159` `times-frac_binary64_3153` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `-rgt-identity_binary64_3137` `-lft-identity_binary64_3136` `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` `pow-sqr_binary64_3120` `sqr-pow_binary64_3119` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `difference-of-squares_binary64_3116` `unswap-sqr_binary64_3115` `swap-sqr_binary64_3114` `cancel-sign-sub-inv_binary64_3113` `cancel-sign-sub_binary64_3112` `distribute-neg-out_binary64_3109` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-rgt-out--_binary64_3101` `distribute-rgt-out_binary64_3100` `distribute-lft-out--_binary64_3099` `distribute-lft-out_binary64_3098` `count-2_binary64_3095` `associate-/l/_binary64_3094` `associate-/r_binary64_3091` `associate--l-_binary64_3085` `associate--l+_binary64_3084`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	209
1	150	209
2	357	209
3	1185	209
4	3478	209
5	5212	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.3%	0.2%	12
12.2%	87.5%	0.2%	13
21.9%	77.7%	0.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample29.0ms (0.1%)

Algorithm

1×

intervals

Results

8.0ms	214×	body	128	valid
2.0ms	21×	body	512	valid
1.0ms	9×	body	1024	valid
1.0ms	30×	body	128	invalid
1.0ms	11×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1165×	`unsub-neg_binary64_3141`
859×	`div-sub_binary64_3152`
666×	`neg-mul-1_binary64_3143`
534×	`neg-sub0_binary64_3142`
388×	`distribute-frac-neg_binary64_3110`
381×	`sub-neg_binary64_3140`
302×	`distribute-neg-in_binary64_3108`
272×	`distribute-rgt-neg-in_binary64_3105`
234×	`distribute-neg-out_binary64_3109`
205×	`distribute-rgt-in_binary64_3097`
201×	`distribute-rgt-neg-out_binary64_3107`
199×	`associate-+l-_binary64_3082`
198×	`associate-+l+_binary64_3080`
180×	`distribute-lft-neg-out_binary64_3106`
171×	`associate-+r+_binary64_3079`
152×	`remove-double-neg_binary64_3135`
139×	`distribute-lft-in_binary64_3096`
136×	`associate-/l*_binary64_3092`
113×	`distribute-neg-frac_binary64_3111`
112×	`times-frac_binary64_3153`
98×	`distribute-lft-neg-in_binary64_3104`
96×	`associate--r+_binary64_3083`
82×	`distribute-rgt-out--_binary64_3101`
76×	`associate-/r*_binary64_3091`
71×	`sub0-neg_binary64_3134`
66×	`+-commutative_binary64_3077`
65×	`associate-+r-_binary64_3081`
64×	`associate-r_binary64_3087`
60×	`associate--l+_binary64_3084` `*-commutative_binary64_3078`
58×	`cancel-sign-sub-inv_binary64_3113`
53×	`associate-l_binary64_3088`
37×	`associate-/r/_binary64_3093`
35×	`associate-*l/_binary64_3090`
32×	`div0_binary64_3128`
27×	`*-lft-identity_binary64_3136`
26×	`associate-*r/_binary64_3089`
25×	`distribute-rgt-out_binary64_3100`
21×	`distribute-lft-out_binary64_3098`
19×	`mul0-rgt_binary64_3130` `mul0-lft_binary64_3129`
17×	`associate--l-_binary64_3085`
14×	`/-rgt-identity_binary64_3138`
12×	`associate--r-_binary64_3086`
11×	`+-rgt-identity_binary64_3132`
8×	`mul-1-neg_binary64_3139`
7×	`distribute-rgt1-in_binary64_3103`
3×	`*-rgt-identity_binary64_3137` `+-lft-identity_binary64_3131`
2×	`--rgt-identity_binary64_3133` `*-inverses_binary64_3127` `distribute-lft1-in_binary64_3102` `associate-/l/_binary64_3094`
1×	`1-exp_binary64_3191` `cancel-sign-sub_binary64_3112`
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` `+-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` `distribute-lft-out--_binary64_3099` `count-2_binary64_3095`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	24	19
2	50	19
3	146	19
4	431	19
5	974	19
6	2396	19
7	3621	19
8	4190	19
9	4973	19

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

16.5b

Counts

1 → 1

Compiler

Compiled 13 to 11 computations (15.4% saved)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 t x) (-.f64 a z))
4.4b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
7.3b	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))

rewrite187.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

11.0b

Rules

78×	`add-sqr-sqrt_binary64_3169`
73×	`*-un-lft-identity_binary64_3147`
51×	`times-frac_binary64_3153`
31×	`associate-r_binary64_3087`
27×	`add-cube-cbrt_binary64_3182`
23×	`difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099`
10×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
5×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `flip3--_binary64_3151` `flip--_binary64_3122` `associate-l_binary64_3088` `associate-/l_binary64_3092` `associate-/r_binary64_3091`
4×	`associate-/r/_binary64_3093`
2×	`div-exp_binary64_3198` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `cbrt-undiv_binary64_3181` `frac-times_binary64_3157` `unswap-sqr_binary64_3115` `associate-*l/_binary64_3090` `div-inv_binary64_3144` `associate-/l/_binary64_3094`
1×	`pow-prod-down_binary64_3218` `associate-r/_binary64_3089` `-commutative_binary64_3078` `sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077` `frac-2neg_binary64_3158` `div-sub_binary64_3152` `clear-num_binary64_3146`

Counts

3 → 119

Calls

3 calls:

20.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
9.0ms	(/.f64 (-.f64 t x) (-.f64 a z))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))

Compiler

Compiled 2779 to 576 computations (79.3% saved)

series2.6s (11.8%)

Error

1.5b

Counts

3 → 100

Calls

3 calls:

1.3s	(+.f64 x (*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z))))
828.0ms	(*.f64 (-.f64 y z) (/.f64 (-.f64 t x) (-.f64 a z)))
369.0ms	(/.f64 (-.f64 t x) (-.f64 a z))

Compiler

Compiled 8255 to 4327 computations (47.6% saved)

simplify163.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

940×	`times-frac_binary64_3153`
307×	`associate-+r+_binary64_3079`
280×	`+-commutative_binary64_3077`
239×	`associate-+l+_binary64_3080`
214×	`associate--l+_binary64_3084`
212×	`associate-/l*_binary64_3092`
177×	`associate--r+_binary64_3083`
152×	`sub-neg_binary64_3140` `associate-l_binary64_3088`
142×	`associate-r_binary64_3087`
128×	`*-commutative_binary64_3078`
112×	`distribute-rgt-in_binary64_3097`
108×	`distribute-lft-in_binary64_3096`
90×	`associate-/r*_binary64_3091`
72×	`associate-*r/_binary64_3089`
60×	`associate-/r/_binary64_3093`
54×	`distribute-neg-in_binary64_3108`
49×	`div-sub_binary64_3152` `associate-*l/_binary64_3090`
47×	`neg-sub0_binary64_3142`
43×	`associate-/l/_binary64_3094`
39×	`neg-mul-1_binary64_3143`
21×	`distribute-rgt-neg-in_binary64_3105`
20×	`cancel-sign-sub-inv_binary64_3113`
18×	`sqr-pow_binary64_3119` `distribute-neg-frac_binary64_3111`
15×	`cube-prod_binary64_3175`
14×	`distribute-lft-neg-in_binary64_3104`
13×	`mul-1-neg_binary64_3139`
12×	`log-prod_binary64_3233` `exp-prod_binary64_3199`
10×	`exp-sum_binary64_3193`
8×	`unpow3_binary64_3213`
7×	`log-div_binary64_3234` `cube-div_binary64_3176`
6×	`cube-mult_binary64_3177` `/-rgt-identity_binary64_3138`
5×	`difference-of-squares_binary64_3116`
4×	`exp-diff_binary64_3195` `cube-unmult_binary64_3184` `swap-sqr_binary64_3114` `distribute-lft-neg-out_binary64_3106`
2×	`unpow2_binary64_3212` `unpow1/2_binary64_3211` `unpow1_binary64_3205` `rem-sqrt-square_binary64_3160` `distribute-rgt-out--_binary64_3101` `distribute-rgt-out_binary64_3100` `associate--r-_binary64_3086` `associate-+l-_binary64_3082` `associate-+r-_binary64_3081`
1×	`prod-exp_binary64_3196` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `*-rgt-identity_binary64_3137`
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` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `pow-plus_binary64_3210` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `div-exp_binary64_3198` `rec-exp_binary64_3197` `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` `unsub-neg_binary64_3141` `-lft-identity_binary64_3136` `remove-double-neg_binary64_3135` `sub0-neg_binary64_3134` `--rgt-identity_binary64_3133` `+-rgt-identity_binary64_3132` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `div0_binary64_3128` `-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `pow-sqr_binary64_3120` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `unswap-sqr_binary64_3115` `cancel-sign-sub_binary64_3112` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `distribute-rgt-neg-out_binary64_3107` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-lft-out--_binary64_3099` `distribute-lft-out_binary64_3098` `count-2_binary64_3095` `associate--l-_binary64_3085`

Counts

219 → 132

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	445	6616
1	1209	6358
2	4717	6340
3	5827	6340

prune156.0ms (0.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	122	10	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	10	133

Error

1.4b

Counts

133 → 10

Compiler

Compiled 4080 to 715 computations (82.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 a z))
0.6b	(cbrt.f64 (-.f64 a z))
1.5b	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
9.3b	(+.f64 x (.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))

rewrite230.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

75×	`add-sqr-sqrt_binary64_3169`
59×	`*-un-lft-identity_binary64_3147`
52×	`times-frac_binary64_3153`
46×	`associate-r_binary64_3087`
37×	`cbrt-prod_binary64_3178`
27×	`add-cube-cbrt_binary64_3182`
25×	`add-exp-log_binary64_3185`
18×	`add-cbrt-cube_binary64_3183` `cbrt-div_binary64_3179`
17×	`associate-l_binary64_3088`
16×	`difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099`
10×	`associate-/r/_binary64_3093`
9×	`flip3--_binary64_3151` `flip--_binary64_3122`
8×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
7×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181`
6×	`add-log-exp_binary64_3186` `pow1_binary64_3208` `unswap-sqr_binary64_3115`
5×	`frac-times_binary64_3157`
3×	`associate-l/_binary64_3090` `associate-r/_binary64_3089`
2×	`div-inv_binary64_3144` `pow1/3_binary64_3229`
1×	`sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077` `pow-prod-down_binary64_3218` `*-commutative_binary64_3078`

Counts

4 → 134

Calls

4 calls:

40.0ms	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
4.0ms	(+.f64 x (.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))
3.0ms	(cbrt.f64 (-.f64 a z))
3.0ms	(cbrt.f64 (-.f64 a z))

Compiler

Compiled 5000 to 719 computations (85.6% saved)

series2.8s (12.5%)

Error

1.4b

Counts

4 → 95

Calls

4 calls:

1.5s	(+.f64 x (.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z)))))
893.0ms	(.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (/.f64 (-.f64 t x) (cbrt.f64 (-.f64 a z))))
154.0ms	(cbrt.f64 (-.f64 a z))
149.0ms	(cbrt.f64 (-.f64 a z))

Compiler

Compiled 8977 to 5017 computations (44.1% saved)

simplify412.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

344×	`associate-/l*_binary64_3092`
294×	`times-frac_binary64_3153`
256×	`associate-*r/_binary64_3089`
225×	`associate--l+_binary64_3084`
206×	`associate-l_binary64_3088`
201×	`associate-r_binary64_3087`
197×	`associate-*l/_binary64_3090`
191×	`associate-/r*_binary64_3091`
146×	`sub-neg_binary64_3140`
123×	`*-commutative_binary64_3078` `+-commutative_binary64_3077`
88×	`associate-/l/_binary64_3094`
85×	`associate-+r+_binary64_3079`
61×	`distribute-rgt-in_binary64_3097`
60×	`associate-/r/_binary64_3093`
57×	`distribute-lft-in_binary64_3096`
53×	`distribute-neg-in_binary64_3108`
51×	`neg-sub0_binary64_3142`
42×	`neg-mul-1_binary64_3143`
32×	`distribute-rgt-neg-in_binary64_3105` `associate--r+_binary64_3083`
31×	`sqr-pow_binary64_3119`
30×	`cancel-sign-sub-inv_binary64_3113`
29×	`log-div_binary64_3234`
27×	`div-sub_binary64_3152`
25×	`distribute-lft-neg-in_binary64_3104`
22×	`distribute-neg-frac_binary64_3111`
15×	`mul-1-neg_binary64_3139`
7×	`unpow3_binary64_3213`
6×	`unpow1/3_binary64_3214` `exp-prod_binary64_3199` `cube-div_binary64_3176`
5×	`cube-unmult_binary64_3184` `cube-mult_binary64_3177`
4×	`log-prod_binary64_3233` `cube-prod_binary64_3175` `swap-sqr_binary64_3114` `distribute-lft-neg-out_binary64_3106` `associate-+l-_binary64_3082`
3×	`/-rgt-identity_binary64_3138` `difference-of-squares_binary64_3116` `distribute-frac-neg_binary64_3110` `associate-+r-_binary64_3081`
2×	`unpow2_binary64_3212` `unpow1_binary64_3205` `*-rgt-identity_binary64_3137` `distribute-rgt-out--_binary64_3101` `associate--r-_binary64_3086`
1×	`log-pow_binary64_3236` `log-rec_binary64_3235` `prod-exp_binary64_3196` `exp-diff_binary64_3195` `1-exp_binary64_3191` `rem-3cbrt-lft_binary64_3172` `rem-cube-cbrt_binary64_3170` `*-lft-identity_binary64_3136` `remove-double-neg_binary64_3135` `unswap-sqr_binary64_3115` `distribute-rgt-out_binary64_3100` `count-2_binary64_3095`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `pow-base-0_binary64_3231` `unpow1/2_binary64_3211` `pow-plus_binary64_3210` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `div-exp_binary64_3198` `rec-exp_binary64_3197` `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-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `rem-cbrt-cube_binary64_3171` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159` `unsub-neg_binary64_3141` `sub0-neg_binary64_3134` `--rgt-identity_binary64_3133` `+-rgt-identity_binary64_3132` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `div0_binary64_3128` `*-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `pow-sqr_binary64_3120` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `cancel-sign-sub_binary64_3112` `distribute-neg-out_binary64_3109` `distribute-rgt-neg-out_binary64_3107` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-lft-out--_binary64_3099` `distribute-lft-out_binary64_3098` `associate--l-_binary64_3085` `associate-+l+_binary64_3080`

Counts

229 → 164

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	524	8453
1	1526	7508
2	4995	7508
3	5005	7508

prune213.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	160	4	164
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	164	10	174

Error

1.4b

Counts

174 → 10

Compiler

Compiled 5531 to 1012 computations (81.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 a z))
0.6b	(cbrt.f64 (-.f64 a z))
1.7b	(.f64 (/.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z))))) (/.f64 (-.f64 t x) (cbrt.f64 (cbrt.f64 (-.f64 a z)))))
7.8b	(+.f64 x (.f64 (/.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z))))) (/.f64 (-.f64 t x) (cbrt.f64 (cbrt.f64 (-.f64 a z))))))

rewrite413.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

107×	`add-sqr-sqrt_binary64_3169`
98×	`times-frac_binary64_3153`
84×	`cbrt-prod_binary64_3178`
74×	`*-un-lft-identity_binary64_3147`
69×	`add-exp-log_binary64_3185`
61×	`associate-r_binary64_3087`
44×	`cbrt-div_binary64_3179`
42×	`add-cbrt-cube_binary64_3183`
36×	`add-cube-cbrt_binary64_3182`
29×	`associate-l_binary64_3088`
27×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181`
24×	`prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
19×	`difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099`
18×	`associate-/r/_binary64_3093`
15×	`flip3--_binary64_3151` `flip--_binary64_3122`
12×	`unswap-sqr_binary64_3115`
9×	`frac-times_binary64_3157`
6×	`add-log-exp_binary64_3186` `pow1_binary64_3208`
5×	`associate-l/_binary64_3090` `associate-r/_binary64_3089`
3×	`div-inv_binary64_3144`
2×	`pow1/3_binary64_3229`
1×	`sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077` `pow-prod-down_binary64_3218` `*-commutative_binary64_3078`

Counts

4 → 183

Calls

4 calls:

74.0ms	(.f64 (/.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z))))) (/.f64 (-.f64 t x) (cbrt.f64 (cbrt.f64 (-.f64 a z)))))
5.0ms	(+.f64 x (.f64 (/.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z))))) (/.f64 (-.f64 t x) (cbrt.f64 (cbrt.f64 (-.f64 a z))))))
4.0ms	(cbrt.f64 (-.f64 a z))
4.0ms	(cbrt.f64 (-.f64 a z))

Compiler

Compiled 10018 to 1060 computations (89.4% saved)

series2.9s (13%)

Error

1.4b

Counts

4 → 95

Calls

4 calls:

1.5s	(+.f64 x (.f64 (/.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z))))) (/.f64 (-.f64 t x) (cbrt.f64 (cbrt.f64 (-.f64 a z))))))
901.0ms	(.f64 (/.f64 (/.f64 (-.f64 y z) (.f64 (cbrt.f64 (-.f64 a z)) (cbrt.f64 (-.f64 a z)))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 a z))) (cbrt.f64 (cbrt.f64 (-.f64 a z))))) (/.f64 (-.f64 t x) (cbrt.f64 (cbrt.f64 (-.f64 a z)))))
173.0ms	(cbrt.f64 (-.f64 a z))
166.0ms	(cbrt.f64 (-.f64 a z))

Compiler

Compiled 9705 to 5178 computations (46.6% saved)

simplify223.0ms (1%)

Algorithm

1×	egg-herbie

Rules

473×	`associate-*l/_binary64_3090`
443×	`associate-/l*_binary64_3092`
377×	`times-frac_binary64_3153`
308×	`associate-/r*_binary64_3091`
174×	`associate-/l/_binary64_3094`
155×	`sub-neg_binary64_3140` `*-commutative_binary64_3078`
123×	`+-commutative_binary64_3077`
88×	`associate-*r/_binary64_3089`
85×	`associate-+r+_binary64_3079`
70×	`distribute-rgt-in_binary64_3097` `associate-/r/_binary64_3093`
66×	`distribute-lft-in_binary64_3096`
54×	`distribute-neg-in_binary64_3108`
52×	`neg-sub0_binary64_3142`
43×	`neg-mul-1_binary64_3143`
35×	`associate--l+_binary64_3084`
33×	`distribute-rgt-neg-in_binary64_3105` `associate--r+_binary64_3083`
31×	`sqr-pow_binary64_3119` `cancel-sign-sub-inv_binary64_3113`
30×	`associate-r_binary64_3087`
29×	`div-sub_binary64_3152`
26×	`distribute-lft-neg-in_binary64_3104`
23×	`distribute-neg-frac_binary64_3111`
19×	`associate-l_binary64_3088`
15×	`mul-1-neg_binary64_3139`
12×	`associate-+l-_binary64_3082`
10×	`log-div_binary64_3234` `log-prod_binary64_3233`
8×	`exp-prod_binary64_3199` `cube-unmult_binary64_3184`
7×	`unpow3_binary64_3213` `cube-div_binary64_3176` `swap-sqr_binary64_3114`
6×	`unpow1/3_binary64_3214`
5×	`cube-mult_binary64_3177`
4×	`cube-prod_binary64_3175` `unswap-sqr_binary64_3115` `distribute-lft-neg-out_binary64_3106`
3×	`/-rgt-identity_binary64_3138` `difference-of-squares_binary64_3116` `distribute-frac-neg_binary64_3110` `associate-+r-_binary64_3081`
2×	`unpow2_binary64_3212` `unpow1_binary64_3205` `rem-3cbrt-lft_binary64_3172` `*-rgt-identity_binary64_3137` `distribute-rgt-out--_binary64_3101` `count-2_binary64_3095`
1×	`log-rec_binary64_3235` `prod-exp_binary64_3196` `1-exp_binary64_3191` `rem-cube-cbrt_binary64_3170` `*-lft-identity_binary64_3136` `remove-double-neg_binary64_3135` `distribute-rgt-out_binary64_3100` `distribute-lft-out_binary64_3098` `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` `log-E_binary64_3237` `log-pow_binary64_3236` `pow-base-0_binary64_3231` `unpow1/2_binary64_3211` `pow-plus_binary64_3210` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `div-exp_binary64_3198` `rec-exp_binary64_3197` `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-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `rem-cbrt-cube_binary64_3171` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159` `unsub-neg_binary64_3141` `sub0-neg_binary64_3134` `--rgt-identity_binary64_3133` `+-rgt-identity_binary64_3132` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `div0_binary64_3128` `*-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `pow-sqr_binary64_3120` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `cancel-sign-sub_binary64_3112` `distribute-neg-out_binary64_3109` `distribute-rgt-neg-out_binary64_3107` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-lft-out--_binary64_3099` `associate--r-_binary64_3086` `associate-+l+_binary64_3080`

Counts

278 → 203

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	636	13632
1	1804	12387
2	5088	12387

prune282.0ms (1.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	203	10	213

Error

1.4b

Counts

213 → 10

Compiler

Compiled 8686 to 1227 computations (85.9% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 a z) (-.f64 t x))
0.5b	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
5.6b	(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))
7.3b	(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))

rewrite570.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

392×	`times-frac_binary64_3153`
338×	`add-sqr-sqrt_binary64_3169`
326×	`*-un-lft-identity_binary64_3147`
158×	`add-cube-cbrt_binary64_3182`
98×	`associate-r_binary64_3087`
83×	`difference-of-squares_binary64_3116` `distribute-lft-out--_binary64_3099`
36×	`add-exp-log_binary64_3185` `associate-/r*_binary64_3091`
20×	`add-cbrt-cube_binary64_3183`
18×	`associate-/r/_binary64_3093`
15×	`div-exp_binary64_3198`
11×	`flip3--_binary64_3151` `flip--_binary64_3122`
10×	`div-inv_binary64_3144`
8×	`associate-/l*_binary64_3092`
7×	`pow1_binary64_3208` `prod-exp_binary64_3196` `cbrt-undiv_binary64_3181`
6×	`add-log-exp_binary64_3186`
5×	`unswap-sqr_binary64_3115` `associate-l_binary64_3088`
4×	`1-exp_binary64_3191` `rec-exp_binary64_3197`
3×	`cbrt-unprod_binary64_3180`
2×	`frac-times_binary64_3157` `associate-*l/_binary64_3090` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `associate-/l/_binary64_3094`
1×	`pow-prod-down_binary64_3218` `un-div-inv_binary64_3145` `associate-r/_binary64_3089` `-commutative_binary64_3078` `sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077` `inv-pow_binary64_3232` `pow-flip_binary64_3221` `div-sub_binary64_3152`

Counts

4 → 344

Calls

4 calls:

42.0ms	(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))
17.0ms	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
9.0ms	(/.f64 (-.f64 a z) (-.f64 t x))
4.0ms	(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))

Compiler

Compiled 9606 to 3185 computations (66.8% saved)

series2.9s (12.8%)

Error

1.4b

Counts

4 → 124

Calls

4 calls:

1.3s	(+.f64 x (*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))))
781.0ms	(*.f64 (-.f64 y z) (/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x))))
342.0ms	(/.f64 1 (/.f64 (-.f64 a z) (-.f64 t x)))
297.0ms	(/.f64 (-.f64 a z) (-.f64 t x))

Compiler

Compiled 9611 to 5182 computations (46.1% saved)

simplify222.0ms (1%)

Algorithm

1×	egg-herbie

Rules

315×	`associate-/l*_binary64_3092`
307×	`associate-/r/_binary64_3093`
254×	`associate-l_binary64_3088`
230×	`associate-r_binary64_3087`
186×	`times-frac_binary64_3153`
169×	`sub-neg_binary64_3140`
163×	`distribute-rgt-in_binary64_3097`
162×	`associate-*r/_binary64_3089`
157×	`distribute-lft-in_binary64_3096`
155×	`associate-*l/_binary64_3090`
139×	`associate-/l/_binary64_3094`
129×	`+-commutative_binary64_3077`
120×	`associate-/r*_binary64_3091`
117×	`*-commutative_binary64_3078`
79×	`associate-+r+_binary64_3079`
78×	`div-sub_binary64_3152`
60×	`distribute-neg-in_binary64_3108`
55×	`neg-sub0_binary64_3142`
46×	`neg-mul-1_binary64_3143`
37×	`associate--l+_binary64_3084`
33×	`associate--r+_binary64_3083`
26×	`distribute-rgt-neg-in_binary64_3105`
24×	`sqr-pow_binary64_3119`
22×	`distribute-neg-frac_binary64_3111`
20×	`cancel-sign-sub-inv_binary64_3113`
17×	`distribute-lft-neg-in_binary64_3104`
15×	`mul-1-neg_binary64_3139`
9×	`/-rgt-identity_binary64_3138`
8×	`unpow3_binary64_3213` `*-rgt-identity_binary64_3137`
6×	`cube-mult_binary64_3177` `swap-sqr_binary64_3114`
5×	`log-div_binary64_3234` `log-prod_binary64_3233` `exp-prod_binary64_3199` `cube-prod_binary64_3175` `difference-of-squares_binary64_3116` `distribute-lft-neg-out_binary64_3106` `associate-+r-_binary64_3081`
4×	`unpow2_binary64_3212` `unpow1_binary64_3205` `cube-unmult_binary64_3184` `remove-double-div_binary64_3123`
3×	`distribute-rgt-out_binary64_3100`
2×	`log-rec_binary64_3235` `exp-diff_binary64_3195` `exp-sum_binary64_3193` `cube-div_binary64_3176` `unsub-neg_binary64_3141` `distribute-rgt-out--_binary64_3101` `associate--r-_binary64_3086`
1×	`prod-exp_binary64_3196` `1-exp_binary64_3191` `*-lft-identity_binary64_3136` `sub0-neg_binary64_3134` `+-rgt-identity_binary64_3132` `unswap-sqr_binary64_3115`
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` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow1/2_binary64_3211` `pow-plus_binary64_3210` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `div-exp_binary64_3198` `rec-exp_binary64_3197` `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-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` `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` `pow-sqr_binary64_3120` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `cancel-sign-sub_binary64_3112` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `distribute-rgt-neg-out_binary64_3107` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-lft-out--_binary64_3099` `distribute-lft-out_binary64_3098` `count-2_binary64_3095` `associate--l-_binary64_3085` `associate-+l-_binary64_3082` `associate-+l+_binary64_3080`

Counts

468 → 374

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	609	12575
1	1610	12153
2	5055	12153

prune403.0ms (1.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	372	2	374
Fresh	1	7	8
Picked	0	1	1
Done	1	0	1
Total	374	10	384

Error

1.4b

Counts

384 → 10

Compiler

Compiled 9967 to 2165 computations (78.3% saved)

regimes3.0s (13.3%)

Accuracy

Total 4.2b remaining (86.2%)

Threshold costs 0b (0%)

Compiler

Compiled 21352 to 13972 computations (34.6% saved)

bsearch10.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify31.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

49×	`+-commutative_binary64_3077`
43×	`*-commutative_binary64_3078`
32×	`sub-neg_binary64_3140`
27×	`neg-mul-1_binary64_3143` `neg-sub0_binary64_3142`
15×	`distribute-rgt-neg-in_binary64_3105` `distribute-lft-neg-in_binary64_3104`
12×	`unsub-neg_binary64_3141` `distribute-neg-in_binary64_3108`
8×	`distribute-neg-frac_binary64_3111`
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` `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` `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-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `distribute-rgt-neg-out_binary64_3107` `distribute-lft-neg-out_binary64_3106`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	474
1	136	474
2	158	474
3	188	474
4	233	474
5	272	474
6	311	474
7	340	474
8	356	474
9	361	474
10	362	474
11	361	474

end0.0ms (0%)

sample3.3s (14.7%)

Algorithm

1×

intervals

Results

279.0ms	6673×	body	128	valid
62.0ms	404×	body	1024	valid
61.0ms	485×	body	512	valid
50.0ms	1177×	body	128	invalid
28.0ms	381×	body	256	valid
11.0ms	57×	body	2048	valid

Compiler

Compiled 3852 to 2414 computations (37.3% saved)

Iter	Nodes	Cost
0	94	474
1	136	474
2	158	474
3	188	474
4	233	474
5	272	474
6	311	474
7	340	474
8	356	474
9	361	474
10	362	474
11	361	474

Iter	Nodes	Cost
0	94	474
1	136	474
2	158	474
3	188	474
4	233	474
5	272	474
6	311	474
7	340	474
8	356	474
9	361	474
10	362	474
11	361	474

Details

analyze1.2s (5.5%)

sample29.0ms (0.1%)

simplify80.0ms (0.4%)

prune2.0ms (0%)

localize9.0ms (0%)

rewrite187.0ms (0.8%)

series2.6s (11.8%)

simplify163.0ms (0.7%)

prune156.0ms (0.7%)

localize13.0ms (0.1%)

rewrite230.0ms (1%)

series2.8s (12.5%)

simplify412.0ms (1.8%)

prune213.0ms (1%)

localize18.0ms (0.1%)

rewrite413.0ms (1.8%)

series2.9s (13%)

simplify223.0ms (1%)

prune282.0ms (1.3%)

localize11.0ms (0%)

rewrite570.0ms (2.5%)

series2.9s (12.8%)

simplify222.0ms (1%)

prune403.0ms (1.8%)

regimes3.0s (13.3%)

bsearch10.0ms (0%)

simplify31.0ms (0.1%)

end0.0ms (0%)

sample3.3s (14.7%)

Profiling

Iter	Nodes	Cost
0	94	474
1	136	474
2	158	474
3	188	474
4	233	474
5	272	474
6	311	474
7	340	474
8	356	474
9	361	474
10	362	474
11	361	474