Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample29.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	pre	128	true
6.0ms	256×	body	128	valid

Compiler

Compiled 30 to 30 computations (0% saved)

simplify103.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

110×	`associate-+l+_binary64_3080`
84×	`associate-+r+_binary64_3079`
50×	`+-commutative_binary64_3077`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-pow_binary64_3236` `log-rec_binary64_3235` `log-div_binary64_3234` `log-prod_binary64_3233` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `unpow3_binary64_3213` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `pow-plus_binary64_3210` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow1_binary64_3205` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `exp-prod_binary64_3199` `div-exp_binary64_3198` `rec-exp_binary64_3197` `prod-exp_binary64_3196` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `exp-sum_binary64_3193` `e-exp-1_binary64_3192` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-unmult_binary64_3184` `cube-mult_binary64_3177` `cube-div_binary64_3176` `cube-prod_binary64_3175` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `rem-3cbrt-lft_binary64_3172` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159` `times-frac_binary64_3153` `div-sub_binary64_3152` `neg-mul-1_binary64_3143` `neg-sub0_binary64_3142` `unsub-neg_binary64_3141` `sub-neg_binary64_3140` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `-rgt-identity_binary64_3137` `-lft-identity_binary64_3136` `remove-double-neg_binary64_3135` `sub0-neg_binary64_3134` `--rgt-identity_binary64_3133` `+-rgt-identity_binary64_3132` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `div0_binary64_3128` `-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `pow-sqr_binary64_3120` `sqr-pow_binary64_3119` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `difference-of-squares_binary64_3116` `unswap-sqr_binary64_3115` `swap-sqr_binary64_3114` `cancel-sign-sub-inv_binary64_3113` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `distribute-neg-in_binary64_3108` `distribute-rgt-neg-out_binary64_3107` `distribute-lft-neg-out_binary64_3106` `distribute-rgt-neg-in_binary64_3105` `distribute-lft-neg-in_binary64_3104` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `distribute-rgt-out--_binary64_3101` `distribute-rgt-out_binary64_3100` `distribute-lft-out--_binary64_3099` `distribute-lft-out_binary64_3098` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `count-2_binary64_3095` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `associate-/l_binary64_3092` `associate-/r_binary64_3091` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `associate-l_binary64_3088` `associate-r_binary64_3087` `associate--r-_binary64_3086` `associate--l-_binary64_3085` `associate--l+_binary64_3084` `associate--r+_binary64_3083` `associate-+l-_binary64_3082` `associate-+r-_binary64_3081` `-commutative_binary64_3078`

Counts

1 → 3

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	13
2	56	13
3	143	13
4	188	13
5	186	13

prune7.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Kept	Total
New	3	3
Fresh	1	1
Picked	0	0
Done	0	0
Total	4	4

Error

0.0b

Counts

4 → 4

Compiler

Compiled 63 to 51 computations (19% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(+.f64 b (+.f64 c a))
0.2b	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))

rewrite58.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-log-exp_binary64_3186` `*-un-lft-identity_binary64_3147`
18×	`sum-log_binary64_3238` `distribute-lft-out_binary64_3098`
6×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
4×	`frac-add_binary64_3155`
2×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `associate-+r+_binary64_3079` `+-commutative_binary64_3077`
1×	`associate-+l+_binary64_3080`

Counts

2 → 43

Calls

2 calls:

11.0ms	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))
5.0ms	(+.f64 b (+.f64 c a))

Compiler

Compiled 829 to 179 computations (78.4% saved)

series189.0ms (4.2%)

Error

0.0b

Counts

2 → 48

Calls

2 calls:

117.0ms	(+.f64 (+.f64 e d) (+.f64 b (+.f64 c a)))
53.0ms	(+.f64 b (+.f64 c a))

Compiler

Compiled 840 to 623 computations (25.8% saved)

simplify239.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

624×	`associate-+l+_binary64_3080`
569×	`associate-+r+_binary64_3079`
326×	`associate-l_binary64_3088`
321×	`associate-r_binary64_3087`
189×	`associate--r+_binary64_3083`
185×	`distribute-rgt-in_binary64_3097`
173×	`distribute-lft-in_binary64_3096`
125×	`associate--l+_binary64_3084`
86×	`sub-neg_binary64_3140`
82×	`distribute-neg-in_binary64_3108`
63×	`*-commutative_binary64_3078`
60×	`+-commutative_binary64_3077`
47×	`exp-sum_binary64_3193` `distribute-lft-neg-out_binary64_3106`
42×	`cancel-sign-sub-inv_binary64_3113`
41×	`distribute-rgt-neg-out_binary64_3107`
31×	`associate-+l-_binary64_3082` `associate-+r-_binary64_3081`
25×	`sqr-pow_binary64_3119`
24×	`neg-mul-1_binary64_3143` `neg-sub0_binary64_3142`
21×	`prod-exp_binary64_3196` `distribute-rgt-out_binary64_3100`
17×	`unsub-neg_binary64_3141`
16×	`distribute-rgt-neg-in_binary64_3105`
12×	`pow-sqr_binary64_3120`
10×	`unswap-sqr_binary64_3115` `distribute-lft-neg-in_binary64_3104`
8×	`distribute-rgt-out--_binary64_3101`
6×	`unpow3_binary64_3213` `cube-mult_binary64_3177`
3×	`difference-of-squares_binary64_3116`
2×	`associate--l-_binary64_3085`
1×	`cube-unmult_binary64_3184` `associate-/l/_binary64_3094` `associate-*r/_binary64_3089`
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` `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` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `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-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` `-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` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `swap-sqr_binary64_3114` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `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-/r/_binary64_3093` `associate-/l_binary64_3092` `associate-/r_binary64_3091` `associate-l/_binary64_3090` `associate--r-_binary64_3086`

Counts

91 → 212

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	1233
1	347	1206
2	1391	1176

prune189.0ms (4.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	208	4	212
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	210	6	216

Error

Counts

216 → 6

Compiler

Compiled 4680 to 684 computations (85.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(+.f64 c (+.f64 a e))
0.2b	(+.f64 d (+.f64 b (+.f64 c (+.f64 a e))))
0.3b	(+.f64 b (+.f64 c (+.f64 a e)))

rewrite60.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-log-exp_binary64_3186` `*-un-lft-identity_binary64_3147`
19×	`sum-log_binary64_3238` `distribute-lft-out_binary64_3098`
3×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `flip3-+_binary64_3150` `flip-+_binary64_3121` `associate-+r+_binary64_3079` `+-commutative_binary64_3077`

Counts

3 → 51

Calls

3 calls:

10.0ms	(+.f64 d (+.f64 b (+.f64 c (+.f64 a e))))
8.0ms	(+.f64 b (+.f64 c (+.f64 a e)))
5.0ms	(+.f64 c (+.f64 a e))

Compiler

Compiled 808 to 196 computations (75.7% saved)

series287.0ms (6.3%)

Error

Counts

3 → 72

Calls

3 calls:

118.0ms	(+.f64 d (+.f64 b (+.f64 c (+.f64 a e))))
90.0ms	(+.f64 b (+.f64 c (+.f64 a e)))
53.0ms	(+.f64 c (+.f64 a e))

Compiler

Compiled 1268 to 932 computations (26.5% saved)

simplify242.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

556×	`associate-+l+_binary64_3080`
543×	`associate-+r+_binary64_3079`
386×	`sub-neg_binary64_3140`
334×	`distribute-neg-in_binary64_3108`
256×	`cancel-sign-sub-inv_binary64_3113`
240×	`distribute-rgt-out_binary64_3100`
239×	`associate--r+_binary64_3083`
204×	`unsub-neg_binary64_3141`
160×	`associate--l+_binary64_3084`
144×	`associate-l_binary64_3088`
143×	`*-commutative_binary64_3078`
142×	`distribute-rgt-in_binary64_3097`
139×	`+-commutative_binary64_3077`
130×	`distribute-lft-in_binary64_3096`
113×	`associate-r_binary64_3087`
104×	`exp-sum_binary64_3193`
72×	`neg-sub0_binary64_3142`
71×	`distribute-rgt-neg-in_binary64_3105`
63×	`distribute-lft-neg-in_binary64_3104`
59×	`neg-mul-1_binary64_3143`
49×	`distribute-rgt-out--_binary64_3101`
45×	`prod-exp_binary64_3196`
44×	`sqr-pow_binary64_3119`
36×	`distribute-lft-neg-out_binary64_3106`
31×	`pow-sqr_binary64_3120`
30×	`associate-+r-_binary64_3081`
27×	`distribute-rgt-neg-out_binary64_3107`
25×	`+-rgt-identity_binary64_3132` `associate-+l-_binary64_3082`
13×	`sub0-neg_binary64_3134`
12×	`unswap-sqr_binary64_3115` `distribute-neg-out_binary64_3109`
9×	`difference-of-squares_binary64_3116`
8×	`associate--l-_binary64_3085`
7×	`cube-unmult_binary64_3184`
6×	`unpow3_binary64_3213` `cube-mult_binary64_3177`
4×	`associate-/l/_binary64_3094`
3×	`associate-/l*_binary64_3092`
2×	`associate-*r/_binary64_3089`
1×	`associate-*l/_binary64_3090`
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` `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` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `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-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` `-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` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `swap-sqr_binary64_3114` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `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-/r/_binary64_3093` `associate-/r_binary64_3091` `associate--r-_binary64_3086`

Counts

123 → 244

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	103	1257
1	295	1230
2	1087	1230
3	3392	1230

prune134.0ms (3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	243	1	244
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	244	6	250

Error

Counts

250 → 6

Compiler

Compiled 4078 to 548 computations (86.6% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(+.f64 c (+.f64 a e))
0.2b	(+.f64 (+.f64 b d) (+.f64 c (+.f64 a e)))

rewrite46.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-log-exp_binary64_3186` `*-un-lft-identity_binary64_3147`
18×	`sum-log_binary64_3238` `distribute-lft-out_binary64_3098`
6×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
4×	`frac-add_binary64_3155`
2×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `associate-+r+_binary64_3079` `+-commutative_binary64_3077`
1×	`associate-+l+_binary64_3080`

Counts

2 → 43

Calls

2 calls:

11.0ms	(+.f64 (+.f64 b d) (+.f64 c (+.f64 a e)))
5.0ms	(+.f64 c (+.f64 a e))

Compiler

Compiled 829 to 179 computations (78.4% saved)

series204.0ms (4.5%)

Error

Counts

2 → 48

Calls

2 calls:

128.0ms	(+.f64 (+.f64 b d) (+.f64 c (+.f64 a e)))
60.0ms	(+.f64 c (+.f64 a e))

Compiler

Compiled 840 to 626 computations (25.5% saved)

simplify197.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

639×	`associate-+l+_binary64_3080`
597×	`associate-+r+_binary64_3079`
327×	`associate-l_binary64_3088`
322×	`associate-r_binary64_3087`
212×	`associate--r+_binary64_3083`
186×	`distribute-rgt-in_binary64_3097`
174×	`distribute-lft-in_binary64_3096`
139×	`associate--l+_binary64_3084`
91×	`sub-neg_binary64_3140`
90×	`distribute-neg-in_binary64_3108`
64×	`+-commutative_binary64_3077`
63×	`*-commutative_binary64_3078`
47×	`distribute-lft-neg-out_binary64_3106`
44×	`exp-sum_binary64_3193`
42×	`cancel-sign-sub-inv_binary64_3113`
41×	`distribute-rgt-neg-out_binary64_3107`
32×	`associate-+l-_binary64_3082`
31×	`associate-+r-_binary64_3081`
25×	`sqr-pow_binary64_3119`
24×	`neg-mul-1_binary64_3143` `neg-sub0_binary64_3142`
21×	`prod-exp_binary64_3196` `distribute-rgt-out_binary64_3100`
18×	`unsub-neg_binary64_3141`
16×	`distribute-rgt-neg-in_binary64_3105`
12×	`pow-sqr_binary64_3120`
10×	`unswap-sqr_binary64_3115` `distribute-lft-neg-in_binary64_3104`
8×	`distribute-rgt-out--_binary64_3101`
6×	`unpow3_binary64_3213` `cube-mult_binary64_3177`
3×	`difference-of-squares_binary64_3116`
2×	`associate--l-_binary64_3085`
1×	`cube-unmult_binary64_3184` `associate-/l/_binary64_3094` `associate-*r/_binary64_3089`
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` `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` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `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-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` `-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` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `swap-sqr_binary64_3114` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `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-/r/_binary64_3093` `associate-/l_binary64_3092` `associate-/r_binary64_3091` `associate-l/_binary64_3090` `associate--r-_binary64_3086`

Counts

91 → 225

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1233
1	349	1206
2	1410	1176

prune157.0ms (3.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	225	0	225
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	225	6	231

Error

Counts

231 → 6

Compiler

Compiled 5446 to 802 computations (85.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(+.f64 e (+.f64 d c))
0.3b	(+.f64 (+.f64 e (+.f64 d c)) (+.f64 b a))

rewrite47.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-log-exp_binary64_3186` `*-un-lft-identity_binary64_3147`
18×	`sum-log_binary64_3238` `distribute-lft-out_binary64_3098`
6×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
4×	`frac-add_binary64_3155`
2×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `associate-+r+_binary64_3079` `+-commutative_binary64_3077`
1×	`associate-+l+_binary64_3080`

Counts

2 → 43

Calls

2 calls:

11.0ms	(+.f64 (+.f64 e (+.f64 d c)) (+.f64 b a))
5.0ms	(+.f64 e (+.f64 d c))

Compiler

Compiled 829 to 179 computations (78.4% saved)

series217.0ms (4.8%)

Error

Counts

2 → 48

Calls

2 calls:

136.0ms	(+.f64 (+.f64 e (+.f64 d c)) (+.f64 b a))
64.0ms	(+.f64 e (+.f64 d c))

Compiler

Compiled 840 to 626 computations (25.5% saved)

simplify226.0ms (5%)

Algorithm

1×	egg-herbie

Rules

663×	`associate-+l+_binary64_3080`
535×	`associate-+r+_binary64_3079`
320×	`associate-l_binary64_3088`
313×	`associate-r_binary64_3087`
254×	`*-commutative_binary64_3078`
175×	`distribute-rgt-in_binary64_3097`
170×	`associate--r+_binary64_3083`
163×	`distribute-lft-in_binary64_3096`
122×	`associate--l+_binary64_3084`
76×	`sub-neg_binary64_3140`
68×	`distribute-neg-in_binary64_3108`
61×	`+-commutative_binary64_3077`
49×	`exp-sum_binary64_3193`
42×	`cancel-sign-sub-inv_binary64_3113`
39×	`distribute-lft-neg-out_binary64_3106`
34×	`associate-+r-_binary64_3081`
33×	`distribute-rgt-neg-out_binary64_3107`
28×	`associate-+l-_binary64_3082`
25×	`sqr-pow_binary64_3119`
24×	`neg-mul-1_binary64_3143` `neg-sub0_binary64_3142`
21×	`distribute-rgt-out_binary64_3100`
20×	`prod-exp_binary64_3196` `unsub-neg_binary64_3141`
16×	`distribute-rgt-neg-in_binary64_3105`
12×	`pow-sqr_binary64_3120`
10×	`unswap-sqr_binary64_3115` `distribute-lft-neg-in_binary64_3104`
8×	`distribute-rgt-out--_binary64_3101`
6×	`unpow3_binary64_3213` `cube-mult_binary64_3177`
3×	`difference-of-squares_binary64_3116`
1×	`cube-unmult_binary64_3184` `associate-/l/_binary64_3094` `associate-*r/_binary64_3089`
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` `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` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `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-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` `-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` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `swap-sqr_binary64_3114` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `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-/r/_binary64_3093` `associate-/l_binary64_3092` `associate-/r_binary64_3091` `associate-l/_binary64_3090` `associate--r-_binary64_3086` `associate--l-_binary64_3085`

Counts

91 → 231

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	114	1239
1	359	1212
2	1380	1179

prune188.0ms (4.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	231	0	231
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	231	6	237

Error

Counts

237 → 6

Compiler

Compiled 5329 to 737 computations (86.2% saved)

regimes377.0ms (8.3%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 3377 to 3030 computations (10.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4× *-commutative_binary64_3078

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64_3407 if-if-and_binary64_3406 if-if-or-not_binary64_3405 if-if-or_binary64_3404 if-not_binary64_3403 if-same_binary64_3402 if-false_binary64_3401 if-true_binary64_3400 tan-0_binary64_3276 cos-0_binary64_3275 sin-0_binary64_3274 unpow1_binary64_3205 e-exp-1_binary64_3192 1-exp_binary64_3191 exp-1-e_binary64_3190 exp-0_binary64_3189 sqr-abs_binary64_3162 sqr-neg_binary64_3161 neg-mul-1_binary64_3143 neg-sub0_binary64_3142 unsub-neg_binary64_3141 sub-neg_binary64_3140 mul-1-neg_binary64_3139 /-rgt-identity_binary64_3138 *-rgt-identity_binary64_3137 *-lft-identity_binary64_3136 remove-double-neg_binary64_3135 sub0-neg_binary64_3134 --rgt-identity_binary64_3133 +-rgt-identity_binary64_3132 +-lft-identity_binary64_3131 cancel-sign-sub-inv_binary64_3113 cancel-sign-sub_binary64_3112 distribute-neg-frac_binary64_3111 distribute-frac-neg_binary64_3110 distribute-neg-out_binary64_3109 distribute-neg-in_binary64_3108 distribute-rgt-neg-out_binary64_3107 distribute-lft-neg-out_binary64_3106 distribute-rgt-neg-in_binary64_3105 distribute-lft-neg-in_binary64_3104 +-commutative_binary64_3077

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	20	25

Proof

(log f64 (* f64 (* f64 (exp f64 h0) (exp f64 h1)) (* f64 (exp f64 h2) (* f64 (exp f64 h3) (exp f64 h4)))))

end0.0ms (0%)

sample1.3s (28.6%)

Algorithm

1×

intervals

Results

339.0ms	8000×	pre	128	true
204.0ms	8000×	body	128	valid

Compiler

Compiled 406 to 361 computations (11.1% saved)

Details

analyze3.0ms (0.1%)

sample29.0ms (0.6%)

simplify103.0ms (2.3%)

prune7.0ms (0.2%)

localize7.0ms (0.1%)

rewrite58.0ms (1.3%)

series189.0ms (4.2%)

simplify239.0ms (5.3%)

prune189.0ms (4.2%)

localize7.0ms (0.1%)

rewrite60.0ms (1.3%)

series287.0ms (6.3%)

simplify242.0ms (5.3%)

prune134.0ms (3%)

localize9.0ms (0.2%)

rewrite46.0ms (1%)

series204.0ms (4.5%)

simplify197.0ms (4.4%)

prune157.0ms (3.5%)

localize7.0ms (0.1%)

rewrite47.0ms (1%)

series217.0ms (4.8%)

simplify226.0ms (5%)

prune188.0ms (4.1%)

regimes377.0ms (8.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (28.6%)

Profiling