Details

analyze163.0ms (3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	68.7%	6.3%	5
25%	65.6%	9.5%	6
37.5%	39%	23.5%	7
37.5%	36.7%	25.9%	8
43.7%	20.7%	35.6%	9
43.7%	19.3%	37%	10
46.8%	10.6%	42.5%	11
46.8%	9.9%	43.3%	12
48.4%	5.4%	46.2%	13
48.4%	5%	46.6%	14

Compiler

Compiled 17 to 17 computations (0% saved)

sample32.0ms (0.6%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
1.0ms	17×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify103.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

7×	`sub-neg_binary64_3140`
6×	`*-commutative_binary64_3078`
5×	`div-sub_binary64_3152` `+-commutative_binary64_3077`
4×	`associate-/l*_binary64_3092`
2×	`neg-mul-1_binary64_3143` `neg-sub0_binary64_3142` `div0_binary64_3128` `associate-/r/_binary64_3093` `associate-+l-_binary64_3082`
1×	`sub0-neg_binary64_3134` `--rgt-identity_binary64_3133` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `distribute-frac-neg_binary64_3110` `distribute-rgt-in_binary64_3097` `distribute-lft-in_binary64_3096` `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` `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` `unsub-neg_binary64_3141` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `-rgt-identity_binary64_3137` `-lft-identity_binary64_3136` `remove-double-neg_binary64_3135` `+-rgt-identity_binary64_3132` `+-lft-identity_binary64_3131` `-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-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` `count-2_binary64_3095` `associate-/l/_binary64_3094` `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_3081` `associate-+l+_binary64_3080` `associate-+r+_binary64_3079`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	26	23
2	40	23
3	48	23
4	52	23
5	55	23
6	66	23
7	65	23
8	54	23

prune10.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

1.0b

Counts

3 → 1

Compiler

Compiled 42 to 36 computations (14.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b	(+.f64 (*.f64 2/3 PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b	(cos.f64 (+.f64 (*.f64 2/3 PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b	(*.f64 2/3 PI.f64)

rewrite109.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_3169`
14×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
9×	`times-frac_binary64_3153`
8×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
6×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `div-sub_binary64_3152`
4×	`associate-+r-_binary64_3081`
3×	`associate-l_binary64_3088` `associate-r_binary64_3087` `distribute-frac-neg_binary64_3110` `acos-neg_binary64_3330` `acos-asin_binary64_3328` `associate-/l_binary64_3092` `associate-/r_binary64_3091`
2×	`cos-diff_binary64_3284`
1×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `*-commutative_binary64_3078` `cos-sum_binary64_3281` `sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077` `div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144`

Counts

4 → 70

Calls

4 calls:

7.0ms	(cos.f64 (+.f64 (*.f64 2/3 PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
6.0ms	(+.f64 (*.f64 2/3 PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
4.0ms	(*.f64 2/3 PI.f64)
3.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

Compiler

Compiled 1595 to 940 computations (41.1% saved)

series282.0ms (5.2%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

153.0ms	(cos.f64 (+.f64 (*.f64 2/3 PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
72.0ms	(+.f64 (*.f64 2/3 PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
42.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 2/3 PI.f64)

Compiler

Compiled 810 to 742 computations (8.4% saved)

simplify176.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

569×	`distribute-rgt-in_binary64_3097`
436×	`distribute-rgt-out_binary64_3100`
344×	`times-frac_binary64_3153`
271×	`associate-l_binary64_3088`
220×	`cancel-sign-sub-inv_binary64_3113`
208×	`associate-r_binary64_3087`
196×	`distribute-lft-out_binary64_3098`
176×	`associate-/l*_binary64_3092`
152×	`unsub-neg_binary64_3141`
150×	`distribute-lft-in_binary64_3096`
144×	`div-sub_binary64_3152`
143×	`associate-/l/_binary64_3094`
142×	`associate-*l/_binary64_3090`
128×	`*-commutative_binary64_3078`
109×	`sub-neg_binary64_3140`
101×	`associate-*r/_binary64_3089`
94×	`neg-mul-1_binary64_3143`
87×	`neg-sub0_binary64_3142`
85×	`distribute-rgt-neg-in_binary64_3105`
75×	`distribute-neg-frac_binary64_3111`
69×	`associate-/r/_binary64_3093`
67×	`distribute-lft-neg-in_binary64_3104`
63×	`associate-/r*_binary64_3091`
57×	`associate-+l+_binary64_3080`
50×	`distribute-rgt-out--_binary64_3101`
49×	`associate-+r+_binary64_3079`
42×	`+-commutative_binary64_3077`
39×	`sqr-pow_binary64_3119`
30×	`unswap-sqr_binary64_3115`
25×	`distribute-neg-in_binary64_3108`
23×	`distribute-lft-neg-out_binary64_3106` `associate-+l-_binary64_3082`
21×	`distribute-lft-out--_binary64_3099`
16×	`unpow3_binary64_3213` `exp-prod_binary64_3199`
14×	`cube-unmult_binary64_3184` `sub0-neg_binary64_3134` `associate--l-_binary64_3085`
13×	`*-lft-identity_binary64_3136` `associate-+r-_binary64_3081`
12×	`log-prod_binary64_3233`
11×	`/-rgt-identity_binary64_3138`
10×	`exp-sum_binary64_3193` `distribute-rgt-neg-out_binary64_3107`
9×	`log-div_binary64_3234` `pow-plus_binary64_3210` `cube-div_binary64_3176` `*-rgt-identity_binary64_3137` `+-rgt-identity_binary64_3132`
7×	`associate--l+_binary64_3084`
6×	`cube-prod_binary64_3175` `swap-sqr_binary64_3114` `distribute-neg-out_binary64_3109` `associate--r+_binary64_3083`
5×	`exp-diff_binary64_3195` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `pow-sqr_binary64_3120`
4×	`--rgt-identity_binary64_3133`
3×	`cube-mult_binary64_3177` `div0_binary64_3128` `associate--r-_binary64_3086`
2×	`sin-neg_binary64_3277` `remove-double-neg_binary64_3135` `difference-of-squares_binary64_3116` `distribute-rgt1-in_binary64_3103`
1×	`cos-neg_binary64_3278` `log-rec_binary64_3235` `unpow1/3_binary64_3214` `exp-cbrt_binary64_3201` `prod-exp_binary64_3196` `1-exp_binary64_3191` `cube-neg_binary64_3174` `sqr-neg_binary64_3161` `mul-1-neg_binary64_3139` `cancel-sign-sub_binary64_3112` `distribute-frac-neg_binary64_3110` `distribute-lft1-in_binary64_3102` `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` `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` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow1_binary64_3205` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `exp-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` `rem-3cbrt-rft_binary64_3173` `rem-3cbrt-lft_binary64_3172` `rem-cbrt-cube_binary64_3171` `rem-cube-cbrt_binary64_3170` `sqr-abs_binary64_3162` `rem-sqrt-square_binary64_3160` `rem-square-sqrt_binary64_3159` `+-lft-identity_binary64_3131` `*-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`

Counts

88 → 181

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	1699
1	270	1621
2	498	1618
3	974	1615
4	2398	1615
5	4675	1615
6	4971	1615
7	4998	1615
8	4874	1615

prune269.0ms (4.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	177	4	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	178	4	182

Error

1.0b

Counts

182 → 4

Compiler

Compiled 5102 to 2873 computations (43.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (acos.f64 (neg.f64 (/.f64 g h))) (sqrt.f64 3))
1.0b	(+.f64 (*.f64 2/3 PI.f64) (/.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) (sqrt.f64 3)) (sqrt.f64 3)))
1.0b	(cos.f64 (+.f64 (*.f64 2/3 PI.f64) (/.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) (sqrt.f64 3)) (sqrt.f64 3))))
1.0b	(*.f64 2/3 PI.f64)

rewrite196.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

23×	`add-sqr-sqrt_binary64_3169`
21×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
18×	`times-frac_binary64_3153`
12×	`sqrt-prod_binary64_3163`
10×	`div-sub_binary64_3152`
8×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
6×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `associate-/r*_binary64_3091`
4×	`associate-+r-_binary64_3081`
3×	`associate-l_binary64_3088` `associate-r_binary64_3087` `acos-neg_binary64_3330` `acos-asin_binary64_3328` `associate-/l*_binary64_3092`
2×	`cos-diff_binary64_3284`
1×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `*-commutative_binary64_3078` `cos-sum_binary64_3281` `sum-log_binary64_3238` `flip3-+_binary64_3150` `flip-+_binary64_3121` `+-commutative_binary64_3077` `div-exp_binary64_3198` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144`

Counts

4 → 82

Calls

4 calls:

32.0ms	(+.f64 (*.f64 2/3 PI.f64) (/.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) (sqrt.f64 3)) (sqrt.f64 3)))
28.0ms	(cos.f64 (+.f64 (*.f64 2/3 PI.f64) (/.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) (sqrt.f64 3)) (sqrt.f64 3))))
5.0ms	(/.f64 (acos.f64 (neg.f64 (/.f64 g h))) (sqrt.f64 3))
4.0ms	(*.f64 2/3 PI.f64)

Compiler

Compiled 2347 to 1556 computations (33.7% saved)

series531.0ms (9.7%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

252.0ms	(cos.f64 (+.f64 (*.f64 2/3 PI.f64) (/.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) (sqrt.f64 3)) (sqrt.f64 3))))
171.0ms	(+.f64 (*.f64 2/3 PI.f64) (/.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) (sqrt.f64 3)) (sqrt.f64 3)))
91.0ms	(/.f64 (acos.f64 (neg.f64 (/.f64 g h))) (sqrt.f64 3))
0.0ms	(*.f64 2/3 PI.f64)

Compiler

Compiled 954 to 864 computations (9.4% saved)

simplify188.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

625×	`associate-/l*_binary64_3092`
604×	`associate-/l/_binary64_3094`
405×	`associate-/r*_binary64_3091`
389×	`associate-*l/_binary64_3090`
245×	`div-sub_binary64_3152`
204×	`distribute-rgt-in_binary64_3097`
182×	`associate-/r/_binary64_3093`
179×	`distribute-lft-in_binary64_3096`
152×	`cancel-sign-sub-inv_binary64_3113`
151×	`sub-neg_binary64_3140`
118×	`associate-l_binary64_3088`
93×	`associate-*r/_binary64_3089`
92×	`*-commutative_binary64_3078`
80×	`times-frac_binary64_3153`
79×	`distribute-rgt-neg-in_binary64_3105`
77×	`distribute-neg-frac_binary64_3111` `associate-r_binary64_3087`
71×	`neg-mul-1_binary64_3143`
70×	`neg-sub0_binary64_3142`
63×	`distribute-rgt-out_binary64_3100`
60×	`distribute-lft-neg-in_binary64_3104`
58×	`unswap-sqr_binary64_3115`
55×	`sqr-pow_binary64_3119`
53×	`unsub-neg_binary64_3141`
30×	`cube-div_binary64_3176`
26×	`unpow3_binary64_3213`
25×	`*-rgt-identity_binary64_3137`
23×	`distribute-lft-neg-out_binary64_3106`
22×	`cube-prod_binary64_3175` `/-rgt-identity_binary64_3138`
19×	`distribute-lft-out_binary64_3098` `+-commutative_binary64_3077`
18×	`swap-sqr_binary64_3114`
15×	`distribute-rgt-out--_binary64_3101`
14×	`*-lft-identity_binary64_3136`
13×	`log-div_binary64_3234` `pow-plus_binary64_3210` `cube-unmult_binary64_3184` `cube-mult_binary64_3177`
11×	`associate-+l+_binary64_3080`
9×	`log-prod_binary64_3233` `distribute-neg-in_binary64_3108`
8×	`pow-sqr_binary64_3120` `associate-+r-_binary64_3081`
7×	`associate-+l-_binary64_3082` `associate-+r+_binary64_3079`
6×	`+-rgt-identity_binary64_3132` `mul0-rgt_binary64_3130` `mul0-lft_binary64_3129` `distribute-rgt-neg-out_binary64_3107`
5×	`log-pow_binary64_3236` `div0_binary64_3128` `distribute-frac-neg_binary64_3110`
4×	`sub0-neg_binary64_3134`
2×	`exp-prod_binary64_3199` `exp-sum_binary64_3193` `rem-sqrt-square_binary64_3160` `remove-double-neg_binary64_3135` `difference-of-squares_binary64_3116` `count-2_binary64_3095` `associate--l-_binary64_3085`
1×	`unpow1/3_binary64_3214` `unpow2_binary64_3212` `unpow1/2_binary64_3211` `unpow1_binary64_3205` `exp-cbrt_binary64_3201` `prod-exp_binary64_3196` `1-exp_binary64_3191` `rem-square-sqrt_binary64_3159` `distribute-lft-out--_binary64_3099` `associate--l+_binary64_3084`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_3410` `erf-erfc_binary64_3409` `erf-odd_binary64_3408` `if-if-and-not_binary64_3407` `if-if-and_binary64_3406` `if-if-or-not_binary64_3405` `if-if-or_binary64_3404` `if-not_binary64_3403` `if-same_binary64_3402` `if-false_binary64_3401` `if-true_binary64_3400` `not-gte_binary64_3399` `not-lte_binary64_3398` `not-gt_binary64_3397` `not-lt_binary64_3396` `gte-same_binary64_3395` `lte-same_binary64_3394` `gt-same_binary64_3393` `lt-same_binary64_3392` `sinh---cosh_binary64_3339` `sinh-+-cosh_binary64_3338` `sinh-cosh_binary64_3337` `tanh-def-c_binary64_3336` `tanh-def-b_binary64_3335` `tanh-def-a_binary64_3334` `cosh-def_binary64_3333` `sinh-def_binary64_3332` `tan-neg_binary64_3279` `cos-neg_binary64_3278` `sin-neg_binary64_3277` `tan-0_binary64_3276` `cos-0_binary64_3275` `sin-0_binary64_3274` `hang-m-tan_binary64_3273` `hang-p-tan_binary64_3272` `hang-m0-tan_binary64_3271` `hang-p0-tan_binary64_3270` `hang-0m-tan_binary64_3269` `hang-0p-tan_binary64_3268` `tan-+PI/2_binary64_3267` `tan-+PI_binary64_3266` `tan-PI_binary64_3265` `tan-PI/3_binary64_3264` `tan-PI/4_binary64_3263` `tan-PI/6_binary64_3262` `cos-+PI/2_binary64_3261` `cos-+PI_binary64_3260` `cos-PI_binary64_3259` `cos-PI/2_binary64_3258` `cos-PI/3_binary64_3257` `cos-PI/4_binary64_3256` `cos-PI/6_binary64_3255` `sin-+PI/2_binary64_3254` `sin-+PI_binary64_3253` `sin-PI_binary64_3252` `sin-PI/2_binary64_3251` `sin-PI/3_binary64_3250` `sin-PI/4_binary64_3249` `sin-PI/6_binary64_3248` `sub-1-sin_binary64_3247` `sub-1-cos_binary64_3246` `-1-add-sin_binary64_3245` `-1-add-cos_binary64_3244` `1-sub-sin_binary64_3243` `1-sub-cos_binary64_3242` `cos-sin-sum_binary64_3241` `log-E_binary64_3237` `log-rec_binary64_3235` `pow-base-0_binary64_3231` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-lft-sqr_binary64_3202` `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-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` `mul-1-neg_binary64_3139` `--rgt-identity_binary64_3133` `+-lft-identity_binary64_3131` `*-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` `cancel-sign-sub_binary64_3112` `distribute-neg-out_binary64_3109` `distribute-rgt1-in_binary64_3103` `distribute-lft1-in_binary64_3102` `associate--r-_binary64_3086` `associate--r+_binary64_3083`

Counts

100 → 90

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	2185
1	305	2044
2	621	2044
3	1424	2041
4	4438	2041
5	4668	2041
6	4987	2041
7	4997	2041
8	4890	2041

prune140.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Error

0.0b

Counts

94 → 5

Compiler

Compiled 2779 to 1741 computations (37.4% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(sin.f64 (*.f64 2/3 PI.f64))
1.0b	(*.f64 2/3 PI.f64)
1.0b	(*.f64 2/3 PI.f64)
1.6b	(cos.f64 (*.f64 2/3 PI.f64))

rewrite108.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_3169`
8×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
6×	`associate-l_binary64_3088` `associate-r_binary64_3087`
4×	`add-log-exp_binary64_3186`
2×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `*-commutative_binary64_3078`

Counts

4 → 50

Calls

4 calls:

4.0ms	(*.f64 2/3 PI.f64)
4.0ms	(*.f64 2/3 PI.f64)
2.0ms	(cos.f64 (*.f64 2/3 PI.f64))
2.0ms	(sin.f64 (*.f64 2/3 PI.f64))

Compiler

Compiled 1892 to 1250 computations (33.9% saved)

series1.0ms (0%)

Error

0.0b

Counts

4 → 0

Calls

4 calls:

0.0ms	(cos.f64 (*.f64 2/3 PI.f64))
0.0ms	(*.f64 2/3 PI.f64)
0.0ms	(sin.f64 (*.f64 2/3 PI.f64))
0.0ms	(*.f64 2/3 PI.f64)

Compiler

Compiled 0 to 0 computations (0% saved)

simplify93.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

710×	`unswap-sqr_binary64_3115`
683×	`associate-l_binary64_3088`
558×	`associate-/l*_binary64_3092`
401×	`associate-r_binary64_3087`
332×	`log-div_binary64_3234`
175×	`cube-div_binary64_3176`
157×	`associate-/l/_binary64_3094`
150×	`cube-prod_binary64_3175`
149×	`associate-*r/_binary64_3089`
148×	`associate-*l/_binary64_3090`
142×	`sqr-pow_binary64_3119`
122×	`associate-/r/_binary64_3093`
107×	`*-commutative_binary64_3078`
88×	`log-prod_binary64_3233`
44×	`swap-sqr_binary64_3114`
39×	`associate-/r*_binary64_3091`
37×	`pow-plus_binary64_3210`
36×	`cube-unmult_binary64_3184` `pow-sqr_binary64_3120`
33×	`unpow3_binary64_3213`
27×	`exp-prod_binary64_3199`
21×	`log-rec_binary64_3235`
17×	`cube-mult_binary64_3177`
13×	`*-lft-identity_binary64_3136`
12×	`*-rgt-identity_binary64_3137`
10×	`exp-sqrt_binary64_3200`
7×	`unpow2_binary64_3212`
5×	`sub-neg_binary64_3140`
4×	`exp-lft-sqr_binary64_3202`
2×	`/-rgt-identity_binary64_3138` `remove-double-div_binary64_3123`
1×	`unpow1/3_binary64_3214` `unpow1_binary64_3205` `prod-exp_binary64_3196` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `neg-mul-1_binary64_3143` `neg-sub0_binary64_3142` `+-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` `pow-base-0_binary64_3231` `unpow1/2_binary64_3211` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-cbrt_binary64_3201` `div-exp_binary64_3198` `rec-exp_binary64_3197` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `exp-sum_binary64_3193` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-neg_binary64_3174` `rem-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` `unsub-neg_binary64_3141` `mul-1-neg_binary64_3139` `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` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `difference-of-squares_binary64_3116` `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--r-_binary64_3086` `associate--l-_binary64_3085` `associate--l+_binary64_3084` `associate--r+_binary64_3083` `associate-+l-_binary64_3082` `associate-+r-_binary64_3081` `associate-+l+_binary64_3080` `associate-+r+_binary64_3079`

Counts

50 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	486
1	76	424
2	121	424
3	158	424
4	202	424
5	307	424
6	575	424
7	1384	424
8	3484	424
9	4798	424
10	4810	424

prune40.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	20	5	25

Error

0.0b

Counts

25 → 5

Compiler

Compiled 817 to 565 computations (30.8% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(sin.f64 (*.f64 2/3 PI.f64))
1.0b	(*.f64 2/3 PI.f64)
1.0b	(*.f64 2/3 PI.f64)
1.6b	(cos.f64 (*.f64 2/3 PI.f64))

rewrite91.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_3169`
8×	`pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
6×	`associate-l_binary64_3088` `associate-r_binary64_3087`
4×	`add-log-exp_binary64_3186`
2×	`pow-prod-down_binary64_3218` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `unswap-sqr_binary64_3115` `*-commutative_binary64_3078`

Counts

4 → 50

Calls

4 calls:

4.0ms	(*.f64 2/3 PI.f64)
4.0ms	(*.f64 2/3 PI.f64)
2.0ms	(cos.f64 (*.f64 2/3 PI.f64))
2.0ms	(sin.f64 (*.f64 2/3 PI.f64))

Compiler

Compiled 1692 to 1053 computations (37.8% saved)

series1.0ms (0%)

Error

0.0b

Counts

4 → 0

Calls

4 calls:

0.0ms	(cos.f64 (*.f64 2/3 PI.f64))
0.0ms	(*.f64 2/3 PI.f64)
0.0ms	(*.f64 2/3 PI.f64)
0.0ms	(sin.f64 (*.f64 2/3 PI.f64))

Compiler

Compiled 0 to 0 computations (0% saved)

simplify96.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

710×	`unswap-sqr_binary64_3115`
683×	`associate-l_binary64_3088`
558×	`associate-/l*_binary64_3092`
401×	`associate-r_binary64_3087`
332×	`log-div_binary64_3234`
175×	`cube-div_binary64_3176`
157×	`associate-/l/_binary64_3094`
150×	`cube-prod_binary64_3175`
149×	`associate-*r/_binary64_3089`
148×	`associate-*l/_binary64_3090`
142×	`sqr-pow_binary64_3119`
122×	`associate-/r/_binary64_3093`
107×	`*-commutative_binary64_3078`
88×	`log-prod_binary64_3233`
44×	`swap-sqr_binary64_3114`
39×	`associate-/r*_binary64_3091`
37×	`pow-plus_binary64_3210`
36×	`cube-unmult_binary64_3184` `pow-sqr_binary64_3120`
33×	`unpow3_binary64_3213`
27×	`exp-prod_binary64_3199`
21×	`log-rec_binary64_3235`
17×	`cube-mult_binary64_3177`
13×	`*-lft-identity_binary64_3136`
12×	`*-rgt-identity_binary64_3137`
10×	`exp-sqrt_binary64_3200`
7×	`unpow2_binary64_3212`
5×	`sub-neg_binary64_3140`
4×	`exp-lft-sqr_binary64_3202`
2×	`/-rgt-identity_binary64_3138` `remove-double-div_binary64_3123`
1×	`unpow1/3_binary64_3214` `unpow1_binary64_3205` `prod-exp_binary64_3196` `1-exp_binary64_3191` `exp-1-e_binary64_3190` `neg-mul-1_binary64_3143` `neg-sub0_binary64_3142` `+-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` `pow-base-0_binary64_3231` `unpow1/2_binary64_3211` `exp-to-pow_binary64_3209` `pow-base-1_binary64_3207` `unpow0_binary64_3206` `unpow-1_binary64_3204` `exp-lft-cube_binary64_3203` `exp-cbrt_binary64_3201` `div-exp_binary64_3198` `rec-exp_binary64_3197` `exp-diff_binary64_3195` `exp-neg_binary64_3194` `exp-sum_binary64_3193` `e-exp-1_binary64_3192` `exp-0_binary64_3189` `rem-log-exp_binary64_3188` `rem-exp-log_binary64_3187` `cube-neg_binary64_3174` `rem-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` `unsub-neg_binary64_3141` `mul-1-neg_binary64_3139` `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` `difference-of-sqr--1_binary64_3118` `difference-of-sqr-1_binary64_3117` `difference-of-squares_binary64_3116` `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--r-_binary64_3086` `associate--l-_binary64_3085` `associate--l+_binary64_3084` `associate--r+_binary64_3083` `associate-+l-_binary64_3082` `associate-+r-_binary64_3081` `associate-+l+_binary64_3080` `associate-+r+_binary64_3079`

Counts

50 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	486
1	76	424
2	121	424
3	158	424
4	202	424
5	307	424
6	575	424
7	1384	424
8	3484	424
9	4798	424
10	4810	424

prune30.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	20	5	25

Error

0.0b

Counts

25 → 5

Compiler

Compiled 674 to 428 computations (36.5% saved)

regimes773.0ms (14.2%)

Accuracy

Total 0.0b remaining (92%)

Threshold costs 0.0b (92%)

Compiler

Compiled 10822 to 9093 computations (16% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64_3078`
6×	`sub-neg_binary64_3140` `+-commutative_binary64_3077`
5×	`neg-mul-1_binary64_3143` `neg-sub0_binary64_3142`
2×	`cancel-sign-sub-inv_binary64_3113` `distribute-rgt-neg-in_binary64_3105`
1×	`distribute-neg-frac_binary64_3111` `distribute-lft-neg-out_binary64_3106` `distribute-lft-neg-in_binary64_3104`
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` `unsub-neg_binary64_3141` `mul-1-neg_binary64_3139` `/-rgt-identity_binary64_3138` `-rgt-identity_binary64_3137` `-lft-identity_binary64_3136` `remove-double-neg_binary64_3135` `sub0-neg_binary64_3134` `--rgt-identity_binary64_3133` `+-rgt-identity_binary64_3132` `+-lft-identity_binary64_3131` `cancel-sign-sub_binary64_3112` `distribute-frac-neg_binary64_3110` `distribute-neg-out_binary64_3109` `distribute-neg-in_binary64_3108` `distribute-rgt-neg-out_binary64_3107`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	57
1	45	57
2	57	57
3	65	57
4	69	57
5	70	57
6	70	57

end0.0ms (0%)

sample1.9s (35.7%)

Algorithm

1×

intervals

Results

622.0ms	8000×	body	128	valid
35.0ms	564×	body	128	nan

Compiler

Compiled 1120 to 937 computations (16.3% saved)

Details

analyze163.0ms (3%)

sample32.0ms (0.6%)

simplify103.0ms (1.9%)

prune10.0ms (0.2%)

localize11.0ms (0.2%)

rewrite109.0ms (2%)

series282.0ms (5.2%)

simplify176.0ms (3.2%)

prune269.0ms (4.9%)

localize13.0ms (0.2%)

rewrite196.0ms (3.6%)

series531.0ms (9.7%)

simplify188.0ms (3.5%)

prune140.0ms (2.6%)

localize21.0ms (0.4%)

rewrite108.0ms (2%)

series1.0ms (0%)

simplify93.0ms (1.7%)

prune40.0ms (0.7%)

localize22.0ms (0.4%)

rewrite91.0ms (1.7%)

series1.0ms (0%)

simplify96.0ms (1.8%)

prune30.0ms (0.6%)

regimes773.0ms (14.2%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.9s (35.7%)

Profiling