Details

analyze162.0ms (4.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

32×	`distribute-rgt-in_binary64_3097`
27×	`cancel-sign-sub-inv_binary64_3113`
26×	`distribute-lft-in_binary64_3096`
25×	`sub-neg_binary64_3140`
17×	`div-sub_binary64_3152`
16×	`distribute-lft-neg-out_binary64_3106`
15×	`unsub-neg_binary64_3141` `distribute-rgt-neg-in_binary64_3105`
14×	`associate-/l*_binary64_3092`
13×	`neg-mul-1_binary64_3143` `distribute-rgt-neg-out_binary64_3107` `associate-/r*_binary64_3091`
12×	`associate--r+_binary64_3083`
10×	`distribute-neg-frac_binary64_3111`
9×	`neg-sub0_binary64_3142`
8×	`distribute-neg-in_binary64_3108` `distribute-lft-neg-in_binary64_3104`
7×	`associate-l_binary64_3088` `*-commutative_binary64_3078`
6×	`-lft-identity_binary64_3136` `associate-l/_binary64_3090` `associate-r_binary64_3087` `associate--r-_binary64_3086` `+-commutative_binary64_3077`
5×	`sub0-neg_binary64_3134` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `associate-*r/_binary64_3089` `associate-+l-_binary64_3082`
3×	`*-rgt-identity_binary64_3137` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `associate--l+_binary64_3084` `associate-+l+_binary64_3080`
2×	`/-rgt-identity_binary64_3138` `remove-double-neg_binary64_3135` `div0_binary64_3128` `distribute-rgt1-in_binary64_3103` `associate--l-_binary64_3085`
1×	`1-exp_binary64_3191` `--rgt-identity_binary64_3133` `+-rgt-identity_binary64_3132` `distribute-lft-out--_binary64_3099` `distribute-lft-out_binary64_3098` `associate-+r-_binary64_3081` `associate-+r+_binary64_3079`
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` `mul-1-neg_binary64_3139` `*-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-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `distribute-lft1-in_binary64_3102` `distribute-rgt-out--_binary64_3101` `distribute-rgt-out_binary64_3100` `count-2_binary64_3095`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample32.0ms (0.9%)

Algorithm

1×

intervals

Results

16.0ms	92×	body	1024	valid
4.0ms	42×	body	512	valid
2.0ms	103×	body	128	valid
1.0ms	6×	body	2048	valid
1.0ms	13×	body	256	valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify16.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

32×	`distribute-rgt-in_binary64_3097`
27×	`cancel-sign-sub-inv_binary64_3113`
26×	`distribute-lft-in_binary64_3096`
25×	`sub-neg_binary64_3140`
17×	`div-sub_binary64_3152`
16×	`distribute-lft-neg-out_binary64_3106`
15×	`unsub-neg_binary64_3141` `distribute-rgt-neg-in_binary64_3105`
14×	`associate-/l*_binary64_3092`
13×	`neg-mul-1_binary64_3143` `distribute-rgt-neg-out_binary64_3107` `associate-/r*_binary64_3091`
12×	`associate--r+_binary64_3083`
10×	`distribute-neg-frac_binary64_3111`
9×	`neg-sub0_binary64_3142`
8×	`distribute-neg-in_binary64_3108` `distribute-lft-neg-in_binary64_3104`
7×	`associate-l_binary64_3088` `*-commutative_binary64_3078`
6×	`-lft-identity_binary64_3136` `associate-l/_binary64_3090` `associate-r_binary64_3087` `associate--r-_binary64_3086` `+-commutative_binary64_3077`
5×	`sub0-neg_binary64_3134` `associate-/l/_binary64_3094` `associate-/r/_binary64_3093` `associate-*r/_binary64_3089` `associate-+l-_binary64_3082`
3×	`*-rgt-identity_binary64_3137` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `associate--l+_binary64_3084` `associate-+l+_binary64_3080`
2×	`/-rgt-identity_binary64_3138` `remove-double-neg_binary64_3135` `div0_binary64_3128` `distribute-rgt1-in_binary64_3103` `associate--l-_binary64_3085`
1×	`1-exp_binary64_3191` `--rgt-identity_binary64_3133` `+-rgt-identity_binary64_3132` `distribute-lft-out--_binary64_3099` `distribute-lft-out_binary64_3098` `associate-+r-_binary64_3081` `associate-+r+_binary64_3079`
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` `mul-1-neg_binary64_3139` `*-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-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `distribute-lft1-in_binary64_3102` `distribute-rgt-out--_binary64_3101` `distribute-rgt-out_binary64_3100` `count-2_binary64_3095`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

prune1.0ms (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

38.3b

Counts

1 → 1

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
2.5b	(-.f64 (exp.f64 x) 1)

rewrite84.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

38.2b

Rules

35×	`add-sqr-sqrt_binary64_3169`
30×	`*-un-lft-identity_binary64_3147`
21×	`times-frac_binary64_3153`
15×	`add-cube-cbrt_binary64_3182`
10×	`difference-of-squares_binary64_3116`
7×	`associate-/l*_binary64_3092`
5×	`difference-of-sqr-1_binary64_3117` `distribute-lft-out--_binary64_3099`
4×	`add-log-exp_binary64_3186` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
3×	`cancel-sign-sub-inv_binary64_3113` `associate-/r*_binary64_3091`
2×	`pow1_binary64_3208` `flip3--_binary64_3151` `flip--_binary64_3122` `associate-/l/_binary64_3094`
1×	`diff-log_binary64_3239` `sub-neg_binary64_3140` `div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `div-sub_binary64_3152` `clear-num_binary64_3146` `div-inv_binary64_3144`

Counts

2 → 64

Calls

2 calls:

11.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
5.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 893 to 496 computations (44.5% saved)

series89.0ms (2.4%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

51.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
24.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 242 to 192 computations (20.7% saved)

simplify90.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

486×	`associate-/l*_binary64_3092`
359×	`associate-*l/_binary64_3090`
294×	`associate-/l/_binary64_3094` `associate-/r*_binary64_3091`
268×	`distribute-rgt-in_binary64_3097`
267×	`associate-/r/_binary64_3093`
239×	`distribute-lft-in_binary64_3096`
185×	`div-sub_binary64_3152`
137×	`neg-mul-1_binary64_3143`
120×	`cube-div_binary64_3176`
116×	`exp-prod_binary64_3199`
111×	`log-div_binary64_3234`
86×	`times-frac_binary64_3153`
82×	`associate-l_binary64_3088`
81×	`distribute-rgt-out_binary64_3100`
78×	`associate-r_binary64_3087`
77×	`cube-prod_binary64_3175`
64×	`log-prod_binary64_3233`
58×	`*-commutative_binary64_3078`
57×	`distribute-lft-out_binary64_3098`
56×	`distribute-lft-neg-out_binary64_3106`
54×	`distribute-rgt-neg-out_binary64_3107`
50×	`associate-+l+_binary64_3080` `+-commutative_binary64_3077`
45×	`sub-neg_binary64_3140`
39×	`associate-+r+_binary64_3079`
38×	`exp-sum_binary64_3193` `distribute-frac-neg_binary64_3110`
32×	`associate-*r/_binary64_3089`
28×	`sqr-pow_binary64_3119` `distribute-neg-frac_binary64_3111`
26×	`exp-diff_binary64_3195` `cancel-sign-sub-inv_binary64_3113` `distribute-rgt-neg-in_binary64_3105`
23×	`unswap-sqr_binary64_3115`
21×	`neg-sub0_binary64_3142`
19×	`distribute-lft-neg-in_binary64_3104`
18×	`unpow3_binary64_3213` `distribute-neg-in_binary64_3108`
15×	`unsub-neg_binary64_3141`
14×	`cube-neg_binary64_3174` `sqr-neg_binary64_3161`
13×	`prod-exp_binary64_3196` `cube-unmult_binary64_3184` `/-rgt-identity_binary64_3138` `*-lft-identity_binary64_3136`
12×	`mul-1-neg_binary64_3139` `*-rgt-identity_binary64_3137` `distribute-rgt1-in_binary64_3103`
11×	`log-rec_binary64_3235`
10×	`cube-mult_binary64_3177`
9×	`div-exp_binary64_3198` `exp-neg_binary64_3194`
8×	`swap-sqr_binary64_3114`
7×	`pow-plus_binary64_3210` `rec-exp_binary64_3197`
6×	`rem-sqrt-square_binary64_3160`
5×	`distribute-lft1-in_binary64_3102` `associate-+r-_binary64_3081`
4×	`cancel-sign-sub_binary64_3112`
3×	`log-pow_binary64_3236` `unpow1/2_binary64_3211` `pow-sqr_binary64_3120` `difference-of-sqr-1_binary64_3117` `count-2_binary64_3095`
2×	`remove-double-neg_binary64_3135` `+-rgt-identity_binary64_3132` `associate--r+_binary64_3083` `associate-+l-_binary64_3082`
1×	`unpow2_binary64_3212` `unpow1_binary64_3205` `exp-lft-sqr_binary64_3202` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `rem-3cbrt-lft_binary64_3172` `sub0-neg_binary64_3134` `div0_binary64_3128` `remove-double-div_binary64_3123` `difference-of-sqr--1_binary64_3118` `associate--r-_binary64_3086` `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` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `rem-3cbrt-rft_binary64_3173` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `rem-square-sqrt_binary64_3159` `--rgt-identity_binary64_3133` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `*-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `difference-of-squares_binary64_3116` `distribute-neg-out_binary64_3109` `distribute-rgt-out--_binary64_3101` `distribute-lft-out--_binary64_3099` `associate--l+_binary64_3084`

Counts

76 → 40

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	1147
1	249	1094
2	556	1082
3	1324	1076
4	4324	1076
5	4961	1076

prune41.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	36	4	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	4	41

Error

0.0b

Counts

41 → 4

Compiler

Compiled 534 to 300 computations (43.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/6 (*.f64 x 1/24))
0.0b	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
0.2b	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
0.3b	(*.f64 x 1/24)

rewrite114.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_3169`
10×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
9×	`associate-l_binary64_3088` `associate-r_binary64_3087`
6×	`add-log-exp_binary64_3186`
4×	`associate-*r/_binary64_3089`
3×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `*-commutative_binary64_3078` `flip3-+_binary64_3150` `flip-+_binary64_3121`
2×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096`
1×	`sum-log_binary64_3238` `+-commutative_binary64_3077`

Counts

4 → 73

Calls

4 calls:

6.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
6.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
4.0ms	(*.f64 x 1/24)
3.0ms	(+.f64 1/6 (*.f64 x 1/24))

Compiler

Compiled 1504 to 1164 computations (22.6% saved)

series204.0ms (5.6%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

77.0ms	(.f64 x (+.f64 1/6 (.f64 x 1/24)))
47.0ms	(.f64 x (+.f64 1/2 (.f64 x (+.f64 1/6 (*.f64 x 1/24)))))
39.0ms	(+.f64 1/6 (*.f64 x 1/24))
26.0ms	(*.f64 x 1/24)

Compiler

Compiled 630 to 531 computations (15.7% saved)

simplify114.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

769×	`distribute-rgt-in_binary64_3097`
755×	`distribute-lft-in_binary64_3096`
285×	`*-commutative_binary64_3078`
254×	`sub-neg_binary64_3140`
163×	`associate-l_binary64_3088`
148×	`sqr-pow_binary64_3119`
138×	`associate--r+_binary64_3083`
132×	`associate-r_binary64_3087`
130×	`unswap-sqr_binary64_3115`
119×	`distribute-rgt-neg-in_binary64_3105`
117×	`neg-mul-1_binary64_3143`
113×	`neg-sub0_binary64_3142`
111×	`distribute-neg-in_binary64_3108`
103×	`unsub-neg_binary64_3141`
102×	`exp-prod_binary64_3199`
97×	`distribute-lft-neg-in_binary64_3104`
82×	`associate-+l+_binary64_3080`
81×	`cancel-sign-sub-inv_binary64_3113`
80×	`associate-+r+_binary64_3079`
60×	`*-lft-identity_binary64_3136`
58×	`*-rgt-identity_binary64_3137`
49×	`exp-sum_binary64_3193`
48×	`distribute-rgt-out_binary64_3100`
39×	`pow-sqr_binary64_3120`
32×	`swap-sqr_binary64_3114`
28×	`+-commutative_binary64_3077`
27×	`distribute-lft-neg-out_binary64_3106`
23×	`log-prod_binary64_3233`
20×	`distribute-rgt-neg-out_binary64_3107`
18×	`cube-prod_binary64_3175` `associate-+l-_binary64_3082`
15×	`associate--l+_binary64_3084`
12×	`unpow1/2_binary64_3211`
10×	`sub0-neg_binary64_3134`
9×	`distribute-rgt-out--_binary64_3101`
7×	`unpow3_binary64_3213` `associate-+r-_binary64_3081`
5×	`pow-plus_binary64_3210` `+-rgt-identity_binary64_3132`
4×	`log-pow_binary64_3236` `rem-sqrt-square_binary64_3160` `associate-/l*_binary64_3092`
3×	`cube-unmult_binary64_3184` `cube-mult_binary64_3177`
2×	`prod-exp_binary64_3196` `distribute-lft-out_binary64_3098` `count-2_binary64_3095` `associate-/l/_binary64_3094` `associate-*r/_binary64_3089`
1×	`unpow2_binary64_3212` `unpow1_binary64_3205` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `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-rec_binary64_3235` `log-div_binary64_3234` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `div-exp_binary64_3198` `rec-exp_binary64_3197` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-div_binary64_3176` `cube-neg_binary64_3174` `rem-3cbrt-rft_binary64_3173` `rem-3cbrt-lft_binary64_3172` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `sqr-neg_binary64_3161` `rem-square-sqrt_binary64_3159` `times-frac_binary64_3153` `div-sub_binary64_3152` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `remove-double-neg_binary64_3135` `--rgt-identity_binary64_3133` `+-lft-identity_binary64_3131` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `div0_binary64_3128` `-inverses_binary64_3127` `+-inverses_binary64_3126` `lft-mult-inverse_binary64_3125` `rgt-mult-inverse_binary64_3124` `remove-double-div_binary64_3123` `difference-of-sqr--1_binary64_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-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `associate-/r/_binary64_3093` `associate-/r_binary64_3091` `associate-*l/_binary64_3090` `associate--r-_binary64_3086` `associate--l-_binary64_3085`

Counts

93 → 67

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	1188
1	315	1089
2	1058	1083
3	3490	1083
4	4315	1083
5	4984	1083
6	4884	1083

prune77.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	67	4	71

Error

0.0b

Counts

71 → 4

Compiler

Compiled 1284 to 991 computations (22.8% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (-.f64 (exp.f64 x) 1))
2.5b	(-.f64 (exp.f64 x) 1)
2.5b	(-.f64 (exp.f64 x) 1)
2.5b	(-.f64 (exp.f64 x) 1)

rewrite125.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64_3169`
20×	`*-un-lft-identity_binary64_3147`
10×	`add-log-exp_binary64_3186`
9×	`cancel-sign-sub-inv_binary64_3113`
8×	`add-cube-cbrt_binary64_3182` `difference-of-squares_binary64_3116`
7×	`cbrt-prod_binary64_3178`
4×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `flip3--_binary64_3151` `flip--_binary64_3122` `difference-of-sqr-1_binary64_3117` `distribute-lft-out--_binary64_3099`
3×	`diff-log_binary64_3239` `sub-neg_binary64_3140`
2×	`cbrt-div_binary64_3179`
1×	`pow1/3_binary64_3229`

Counts

4 → 71

Calls

4 calls:

6.0ms	(cbrt.f64 (-.f64 (exp.f64 x) 1))
5.0ms	(-.f64 (exp.f64 x) 1)
4.0ms	(-.f64 (exp.f64 x) 1)
4.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 1818 to 1181 computations (35% saved)

series248.0ms (6.8%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

126.0ms	(cbrt.f64 (-.f64 (exp.f64 x) 1))
30.0ms	(-.f64 (exp.f64 x) 1)
29.0ms	(-.f64 (exp.f64 x) 1)
28.0ms	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 1294 to 950 computations (26.6% saved)

simplify120.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

552×	`associate-+l+_binary64_3080`
493×	`associate-+r+_binary64_3079`
295×	`*-commutative_binary64_3078`
247×	`log-prod_binary64_3233`
229×	`distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096`
177×	`unswap-sqr_binary64_3115`
160×	`+-commutative_binary64_3077`
155×	`sqr-pow_binary64_3119`
150×	`distribute-lft-out_binary64_3098`
145×	`associate-l_binary64_3088`
142×	`exp-prod_binary64_3199`
138×	`distribute-rgt-neg-in_binary64_3105`
137×	`associate-r_binary64_3087`
136×	`distribute-rgt-out_binary64_3100`
132×	`cube-prod_binary64_3175`
124×	`distribute-lft-neg-in_binary64_3104`
72×	`neg-mul-1_binary64_3143`
68×	`associate-/l*_binary64_3092`
42×	`pow-plus_binary64_3210`
41×	`unpow3_binary64_3213`
40×	`unsub-neg_binary64_3141`
33×	`distribute-neg-in_binary64_3108`
32×	`pow-sqr_binary64_3120`
31×	`distribute-lft-neg-out_binary64_3106`
29×	`log-pow_binary64_3236` `distribute-rgt-neg-out_binary64_3107`
28×	`cube-unmult_binary64_3184`
27×	`cancel-sign-sub-inv_binary64_3113`
26×	`cube-mult_binary64_3177` `associate-/r*_binary64_3091` `associate--r+_binary64_3083`
24×	`neg-sub0_binary64_3142`
23×	`times-frac_binary64_3153`
20×	`mul-1-neg_binary64_3139`
18×	`distribute-rgt1-in_binary64_3103`
17×	`count-2_binary64_3095`
16×	`sub-neg_binary64_3140` `associate-+r-_binary64_3081`
14×	`swap-sqr_binary64_3114` `associate-/l/_binary64_3094` `associate-*r/_binary64_3089` `associate-+l-_binary64_3082`
12×	`*-lft-identity_binary64_3136` `associate-/r/_binary64_3093`
11×	`rem-sqrt-square_binary64_3160`
10×	`distribute-lft1-in_binary64_3102`
9×	`associate--l+_binary64_3084`
7×	`*-rgt-identity_binary64_3137`
5×	`unpow1/3_binary64_3214`
4×	`unpow2_binary64_3212` `exp-sum_binary64_3193` `difference-of-sqr-1_binary64_3117`
3×	`unpow1/2_binary64_3211` `unpow1_binary64_3205` `prod-exp_binary64_3196` `difference-of-sqr--1_binary64_3118` `distribute-neg-out_binary64_3109`
2×	`rem-3cbrt-lft_binary64_3172` `div-sub_binary64_3152`
1×	`exp-lft-sqr_binary64_3202` `div-exp_binary64_3198` `exp-diff_binary64_3195` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `cube-neg_binary64_3174` `sqr-neg_binary64_3161` `remove-double-neg_binary64_3135` `sub0-neg_binary64_3134` `--rgt-identity_binary64_3133` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `associate--r-_binary64_3086`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-rec_binary64_3235` `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-cbrt_binary64_3201` `exp-sqrt_binary64_3200` `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-div_binary64_3176` `rem-3cbrt-rft_binary64_3173` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `rem-square-sqrt_binary64_3159` `/-rgt-identity_binary64_3138` `+-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-squares_binary64_3116` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110` `distribute-rgt-out--_binary64_3101` `distribute-lft-out--_binary64_3099` `associate-l/_binary64_3090` `associate--l-_binary64_3085`

Counts

95 → 58

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1112
1	179	1037
2	400	1019
3	997	1010
4	2056	1010
5	4591	1010
6	4984	1010
7	4992	1010

prune76.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	58	4	62

Error

0.0b

Counts

62 → 4

Compiler

Compiled 1430 to 917 computations (35.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x)))) x)
2.5b	(+.f64 -1 (sqrt.f64 (exp.f64 x)))

rewrite110.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
10×	`add-cube-cbrt_binary64_3182`
9×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
8×	`associate-/l/_binary64_3094` `sqrt-pow1_binary64_3165`
7×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
6×	`add-log-exp_binary64_3186` `pow1_binary64_3208` `exp-prod_binary64_3199` `sqrt-prod_binary64_3163`
4×	`frac-times_binary64_3157`
3×	`times-frac_binary64_3153` `associate-/r*_binary64_3091`
2×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `pow1/2_binary64_3227` `rem-sqrt-square_binary64_3160`
1×	`sum-log_binary64_3238` `distribute-lft-out_binary64_3098` `+-commutative_binary64_3077` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `associate-/l*_binary64_3092`

Counts

4 → 73

Calls

4 calls:

12.0ms	(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x)))) x)
6.0ms	(+.f64 -1 (sqrt.f64 (exp.f64 x)))
2.0ms	(sqrt.f64 (exp.f64 x))
2.0ms	(sqrt.f64 (exp.f64 x))

Compiler

Compiled 1565 to 761 computations (51.4% saved)

series223.0ms (6.1%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

95.0ms	(/.f64 (*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x)))) x)
41.0ms	(+.f64 -1 (sqrt.f64 (exp.f64 x)))
34.0ms	(sqrt.f64 (exp.f64 x))
31.0ms	(sqrt.f64 (exp.f64 x))

Compiler

Compiled 800 to 591 computations (26.1% saved)

simplify58.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

774×	`times-frac_binary64_3153`
647×	`distribute-rgt-in_binary64_3097`
605×	`distribute-lft-in_binary64_3096`
528×	`associate-/l*_binary64_3092`
155×	`associate-/l/_binary64_3094`
83×	`associate-/r/_binary64_3093`
66×	`div-sub_binary64_3152`
64×	`associate-l_binary64_3088`
55×	`associate-r_binary64_3087`
52×	`distribute-lft-neg-out_binary64_3106`
50×	`distribute-rgt-neg-out_binary64_3107` `*-commutative_binary64_3078`
36×	`sub-neg_binary64_3140`
33×	`+-commutative_binary64_3077`
29×	`associate-*l/_binary64_3090`
28×	`associate-+l+_binary64_3080`
26×	`associate-*r/_binary64_3089` `associate-+r+_binary64_3079`
21×	`distribute-rgt-out_binary64_3100`
19×	`-rgt-identity_binary64_3137` `cancel-sign-sub-inv_binary64_3113` `associate-/r_binary64_3091`
18×	`distribute-lft-out_binary64_3098`
17×	`sqr-pow_binary64_3119`
16×	`distribute-neg-in_binary64_3108`
15×	`neg-sub0_binary64_3142`
14×	`*-lft-identity_binary64_3136`
13×	`log-div_binary64_3234`
12×	`mul-1-neg_binary64_3139` `distribute-rgt-neg-in_binary64_3105`
11×	`log-prod_binary64_3233` `neg-mul-1_binary64_3143`
10×	`cube-prod_binary64_3175`
9×	`distribute-lft-neg-in_binary64_3104`
8×	`exp-prod_binary64_3199` `cube-div_binary64_3176` `unsub-neg_binary64_3141` `distribute-neg-frac_binary64_3111`
7×	`unswap-sqr_binary64_3115` `swap-sqr_binary64_3114`
4×	`cube-unmult_binary64_3184` `distribute-frac-neg_binary64_3110` `distribute-rgt1-in_binary64_3103`
3×	`exp-diff_binary64_3195` `rem-sqrt-square_binary64_3160` `distribute-rgt-out--_binary64_3101` `associate-+r-_binary64_3081`
2×	`unpow3_binary64_3213` `cube-mult_binary64_3177` `/-rgt-identity_binary64_3138` `remove-double-neg_binary64_3135` `difference-of-sqr--1_binary64_3118` `associate--l+_binary64_3084` `associate-+l-_binary64_3082`
1×	`log-pow_binary64_3236` `log-rec_binary64_3235` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `unpow1_binary64_3205` `prod-exp_binary64_3196` `exp-sum_binary64_3193` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `cube-neg_binary64_3174` `sqr-neg_binary64_3161` `rem-square-sqrt_binary64_3159` `difference-of-sqr-1_binary64_3117` `distribute-lft1-in_binary64_3102` `associate--r+_binary64_3083`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `pow-base-0_binary64_3231` `unpow1/3_binary64_3214` `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` `rem-3cbrt-rft_binary64_3173` `rem-3cbrt-lft_binary64_3172` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `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-squares_binary64_3116` `cancel-sign-sub_binary64_3112` `distribute-neg-out_binary64_3109` `distribute-lft-out--_binary64_3099` `count-2_binary64_3095` `associate--r-_binary64_3086` `associate--l-_binary64_3085`

Counts

97 → 51

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	141	1405
1	352	1067
2	1099	1024
3	5026	1024

prune50.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	51	4	55

Error

0.0b

Counts

55 → 4

Compiler

Compiled 875 to 483 computations (44.8% saved)

regimes139.0ms (3.8%)

Accuracy

Total 0.3b remaining (93.9%)

Threshold costs 0.3b (93.9%)

Compiler

Compiled 1006 to 739 computations (26.5% saved)

bsearch28.0ms (0.8%)

Steps

Iters	Range		Point
9	-0.01366013304582427	-4.1472058420335493e-10	-0.0013751438330752465

Compiler

Compiled 1 to 1 computations (0% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

26×	`cancel-sign-sub-inv_binary64_3113`
17×	`unsub-neg_binary64_3141`
14×	`distribute-rgt-neg-in_binary64_3105`
13×	`neg-sub0_binary64_3142`
12×	`neg-mul-1_binary64_3143`
11×	`+-commutative_binary64_3077`
10×	`distribute-lft-neg-in_binary64_3104`
9×	`sub-neg_binary64_3140` `*-commutative_binary64_3078`
8×	`distribute-neg-out_binary64_3109` `distribute-neg-in_binary64_3108` `distribute-lft-neg-out_binary64_3106`
7×	`distribute-rgt-neg-out_binary64_3107`
3×	`remove-double-neg_binary64_3135`
1×	`1-exp_binary64_3191` `sqr-neg_binary64_3161` `mul-1-neg_binary64_3139` `*-rgt-identity_binary64_3137` `--rgt-identity_binary64_3133`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `unpow1_binary64_3205` `e-exp-1_binary64_3192` `exp-1-e_binary64_3190` `exp-0_binary64_3189` `sqr-abs_binary64_3162` `/-rgt-identity_binary64_3138` `*-lft-identity_binary64_3136` `sub0-neg_binary64_3134` `+-rgt-identity_binary64_3132` `+-lft-identity_binary64_3131` `cancel-sign-sub_binary64_3112` `distribute-neg-frac_binary64_3111` `distribute-frac-neg_binary64_3110`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	81
1	54	79
2	60	79
3	73	79
4	92	79
5	107	79
6	113	79
7	122	79
8	126	79
9	127	79
10	116	79

end0.0ms (0%)

sample1.4s (38.5%)

Algorithm

1×

intervals

Results

401.0ms	2612×	body	1024	valid
111.0ms	1319×	body	512	valid
70.0ms	3098×	body	128	valid
48.0ms	280×	body	2048	valid
39.0ms	691×	body	256	valid

Compiler

Compiled 550 to 398 computations (27.6% saved)

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9
0	1	1
1	1	1

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

Iter	Nodes	Cost
0	35	81
1	54	79
2	60	79
3	73	79
4	92	79
5	107	79
6	113	79
7	122	79
8	126	79
9	127	79
10	116	79

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9
0	1	1
1	1	1

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

Iter	Nodes	Cost
0	35	81
1	54	79
2	60	79
3	73	79
4	92	79
5	107	79
6	113	79
7	122	79
8	126	79
9	127	79
10	116	79

Details

analyze162.0ms (4.5%)

sample32.0ms (0.9%)

simplify16.0ms (0.4%)

prune1.0ms (0%)

localize4.0ms (0.1%)

rewrite84.0ms (2.3%)

series89.0ms (2.4%)

simplify90.0ms (2.5%)

prune41.0ms (1.1%)

localize8.0ms (0.2%)

rewrite114.0ms (3.1%)

series204.0ms (5.6%)

simplify114.0ms (3.1%)

prune77.0ms (2.1%)

localize7.0ms (0.2%)

rewrite125.0ms (3.4%)

series248.0ms (6.8%)

simplify120.0ms (3.3%)

prune76.0ms (2.1%)

localize7.0ms (0.2%)

rewrite110.0ms (3%)

series223.0ms (6.1%)

simplify58.0ms (1.6%)

prune50.0ms (1.4%)

regimes139.0ms (3.8%)

bsearch28.0ms (0.8%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample1.4s (38.5%)

Profiling

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9
0	1	1
1	1	1

Iter	Nodes	Cost
0	6	9
1	14	9
2	17	9
3	21	9
4	28	9
5	35	9
6	52	9
7	78	9
8	97	9
9	131	9
10	183	9
11	192	9
12	207	9
13	205	9
14	168	9

Iter	Nodes	Cost
0	35	81
1	54	79
2	60	79
3	73	79
4	92	79
5	107	79
6	113	79
7	122	79
8	126	79
9	127	79
10	116	79