Details

analyze310.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

16×	`sub-neg_binary64_5868`
12×	`div-sub_binary64_5880` `+-commutative_binary64_5805`
10×	`*-commutative_binary64_5806`
6×	`associate-/l*_binary64_5820`
4×	`neg-mul-1_binary64_5871` `neg-sub0_binary64_5870` `div0_binary64_5856` `associate-+l-_binary64_5810`
3×	`associate-/r/_binary64_5821`
2×	`sub0-neg_binary64_5862` `--rgt-identity_binary64_5861` `mul0-rgt_binary64_5858` `mul0-lft_binary64_5857` `distribute-frac-neg_binary64_5838` `distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824` `associate--r+_binary64_5811`
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_6138` `erf-erfc_binary64_6137` `erf-odd_binary64_6136` `if-if-and-not_binary64_6135` `if-if-and_binary64_6134` `if-if-or-not_binary64_6133` `if-if-or_binary64_6132` `if-not_binary64_6131` `if-same_binary64_6130` `if-false_binary64_6129` `if-true_binary64_6128` `not-gte_binary64_6127` `not-lte_binary64_6126` `not-gt_binary64_6125` `not-lt_binary64_6124` `gte-same_binary64_6123` `lte-same_binary64_6122` `gt-same_binary64_6121` `lt-same_binary64_6120` `sinh---cosh_binary64_6067` `sinh-+-cosh_binary64_6066` `sinh-cosh_binary64_6065` `tanh-def-c_binary64_6064` `tanh-def-b_binary64_6063` `tanh-def-a_binary64_6062` `cosh-def_binary64_6061` `sinh-def_binary64_6060` `tan-neg_binary64_6007` `cos-neg_binary64_6006` `sin-neg_binary64_6005` `tan-0_binary64_6004` `cos-0_binary64_6003` `sin-0_binary64_6002` `hang-m-tan_binary64_6001` `hang-p-tan_binary64_6000` `hang-m0-tan_binary64_5999` `hang-p0-tan_binary64_5998` `hang-0m-tan_binary64_5997` `hang-0p-tan_binary64_5996` `tan-+PI/2_binary64_5995` `tan-+PI_binary64_5994` `tan-PI_binary64_5993` `tan-PI/3_binary64_5992` `tan-PI/4_binary64_5991` `tan-PI/6_binary64_5990` `cos-+PI/2_binary64_5989` `cos-+PI_binary64_5988` `cos-PI_binary64_5987` `cos-PI/2_binary64_5986` `cos-PI/3_binary64_5985` `cos-PI/4_binary64_5984` `cos-PI/6_binary64_5983` `sin-+PI/2_binary64_5982` `sin-+PI_binary64_5981` `sin-PI_binary64_5980` `sin-PI/2_binary64_5979` `sin-PI/3_binary64_5978` `sin-PI/4_binary64_5977` `sin-PI/6_binary64_5976` `sub-1-sin_binary64_5975` `sub-1-cos_binary64_5974` `-1-add-sin_binary64_5973` `-1-add-cos_binary64_5972` `1-sub-sin_binary64_5971` `1-sub-cos_binary64_5970` `cos-sin-sum_binary64_5969` `log-E_binary64_5965` `log-pow_binary64_5964` `log-rec_binary64_5963` `log-div_binary64_5962` `log-prod_binary64_5961` `pow-base-0_binary64_5959` `unpow1/3_binary64_5942` `unpow3_binary64_5941` `unpow2_binary64_5940` `unpow1/2_binary64_5939` `pow-plus_binary64_5938` `exp-to-pow_binary64_5937` `pow-base-1_binary64_5935` `unpow0_binary64_5934` `unpow1_binary64_5933` `unpow-1_binary64_5932` `exp-lft-cube_binary64_5931` `exp-lft-sqr_binary64_5930` `exp-cbrt_binary64_5929` `exp-sqrt_binary64_5928` `exp-prod_binary64_5927` `div-exp_binary64_5926` `rec-exp_binary64_5925` `prod-exp_binary64_5924` `exp-diff_binary64_5923` `exp-neg_binary64_5922` `exp-sum_binary64_5921` `e-exp-1_binary64_5920` `1-exp_binary64_5919` `exp-1-e_binary64_5918` `exp-0_binary64_5917` `rem-log-exp_binary64_5916` `rem-exp-log_binary64_5915` `cube-unmult_binary64_5912` `cube-mult_binary64_5905` `cube-div_binary64_5904` `cube-prod_binary64_5903` `cube-neg_binary64_5902` `rem-3cbrt-rft_binary64_5901` `rem-3cbrt-lft_binary64_5900` `rem-cbrt-cube_binary64_5899` `rem-cube-cbrt_binary64_5898` `sqr-abs_binary64_5890` `sqr-neg_binary64_5889` `rem-sqrt-square_binary64_5888` `rem-square-sqrt_binary64_5887` `times-frac_binary64_5881` `unsub-neg_binary64_5869` `mul-1-neg_binary64_5867` `/-rgt-identity_binary64_5866` `-rgt-identity_binary64_5865` `-lft-identity_binary64_5864` `remove-double-neg_binary64_5863` `+-rgt-identity_binary64_5860` `+-lft-identity_binary64_5859` `-inverses_binary64_5855` `+-inverses_binary64_5854` `lft-mult-inverse_binary64_5853` `rgt-mult-inverse_binary64_5852` `remove-double-div_binary64_5851` `pow-sqr_binary64_5848` `sqr-pow_binary64_5847` `difference-of-sqr--1_binary64_5846` `difference-of-sqr-1_binary64_5845` `difference-of-squares_binary64_5844` `unswap-sqr_binary64_5843` `swap-sqr_binary64_5842` `cancel-sign-sub-inv_binary64_5841` `cancel-sign-sub_binary64_5840` `distribute-neg-frac_binary64_5839` `distribute-neg-out_binary64_5837` `distribute-neg-in_binary64_5836` `distribute-rgt-neg-out_binary64_5835` `distribute-lft-neg-out_binary64_5834` `distribute-rgt-neg-in_binary64_5833` `distribute-lft-neg-in_binary64_5832` `distribute-rgt1-in_binary64_5831` `distribute-lft1-in_binary64_5830` `distribute-rgt-out--_binary64_5829` `distribute-rgt-out_binary64_5828` `distribute-lft-out--_binary64_5827` `distribute-lft-out_binary64_5826` `count-2_binary64_5823` `associate-/l/_binary64_5822` `associate-/r_binary64_5819` `associate-l/_binary64_5818` `associate-r/_binary64_5817` `associate-l_binary64_5816` `associate-r_binary64_5815` `associate--r-_binary64_5814` `associate--l-_binary64_5813` `associate--l+_binary64_5812` `associate-+r-_binary64_5809` `associate-+l+_binary64_5808` `associate-+r+_binary64_5807`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	52
1	39	46
2	59	46
3	73	46
4	81	46
5	86	46
6	108	46
7	108	46
8	110	46
9	94	46
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	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)

sample33.0ms (0.6%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
2.0ms	25×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`sub-neg_binary64_5868`
6×	`*-commutative_binary64_5806`
5×	`div-sub_binary64_5880` `+-commutative_binary64_5805`
4×	`associate-/l*_binary64_5820`
2×	`neg-mul-1_binary64_5871` `neg-sub0_binary64_5870` `div0_binary64_5856` `associate-/r/_binary64_5821` `associate-+l-_binary64_5810`
1×	`sub0-neg_binary64_5862` `--rgt-identity_binary64_5861` `mul0-rgt_binary64_5858` `mul0-lft_binary64_5857` `distribute-frac-neg_binary64_5838` `distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824` `associate--r+_binary64_5811`
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_6138` `erf-erfc_binary64_6137` `erf-odd_binary64_6136` `if-if-and-not_binary64_6135` `if-if-and_binary64_6134` `if-if-or-not_binary64_6133` `if-if-or_binary64_6132` `if-not_binary64_6131` `if-same_binary64_6130` `if-false_binary64_6129` `if-true_binary64_6128` `not-gte_binary64_6127` `not-lte_binary64_6126` `not-gt_binary64_6125` `not-lt_binary64_6124` `gte-same_binary64_6123` `lte-same_binary64_6122` `gt-same_binary64_6121` `lt-same_binary64_6120` `sinh---cosh_binary64_6067` `sinh-+-cosh_binary64_6066` `sinh-cosh_binary64_6065` `tanh-def-c_binary64_6064` `tanh-def-b_binary64_6063` `tanh-def-a_binary64_6062` `cosh-def_binary64_6061` `sinh-def_binary64_6060` `tan-neg_binary64_6007` `cos-neg_binary64_6006` `sin-neg_binary64_6005` `tan-0_binary64_6004` `cos-0_binary64_6003` `sin-0_binary64_6002` `hang-m-tan_binary64_6001` `hang-p-tan_binary64_6000` `hang-m0-tan_binary64_5999` `hang-p0-tan_binary64_5998` `hang-0m-tan_binary64_5997` `hang-0p-tan_binary64_5996` `tan-+PI/2_binary64_5995` `tan-+PI_binary64_5994` `tan-PI_binary64_5993` `tan-PI/3_binary64_5992` `tan-PI/4_binary64_5991` `tan-PI/6_binary64_5990` `cos-+PI/2_binary64_5989` `cos-+PI_binary64_5988` `cos-PI_binary64_5987` `cos-PI/2_binary64_5986` `cos-PI/3_binary64_5985` `cos-PI/4_binary64_5984` `cos-PI/6_binary64_5983` `sin-+PI/2_binary64_5982` `sin-+PI_binary64_5981` `sin-PI_binary64_5980` `sin-PI/2_binary64_5979` `sin-PI/3_binary64_5978` `sin-PI/4_binary64_5977` `sin-PI/6_binary64_5976` `sub-1-sin_binary64_5975` `sub-1-cos_binary64_5974` `-1-add-sin_binary64_5973` `-1-add-cos_binary64_5972` `1-sub-sin_binary64_5971` `1-sub-cos_binary64_5970` `cos-sin-sum_binary64_5969` `log-E_binary64_5965` `log-pow_binary64_5964` `log-rec_binary64_5963` `log-div_binary64_5962` `log-prod_binary64_5961` `pow-base-0_binary64_5959` `unpow1/3_binary64_5942` `unpow3_binary64_5941` `unpow2_binary64_5940` `unpow1/2_binary64_5939` `pow-plus_binary64_5938` `exp-to-pow_binary64_5937` `pow-base-1_binary64_5935` `unpow0_binary64_5934` `unpow1_binary64_5933` `unpow-1_binary64_5932` `exp-lft-cube_binary64_5931` `exp-lft-sqr_binary64_5930` `exp-cbrt_binary64_5929` `exp-sqrt_binary64_5928` `exp-prod_binary64_5927` `div-exp_binary64_5926` `rec-exp_binary64_5925` `prod-exp_binary64_5924` `exp-diff_binary64_5923` `exp-neg_binary64_5922` `exp-sum_binary64_5921` `e-exp-1_binary64_5920` `1-exp_binary64_5919` `exp-1-e_binary64_5918` `exp-0_binary64_5917` `rem-log-exp_binary64_5916` `rem-exp-log_binary64_5915` `cube-unmult_binary64_5912` `cube-mult_binary64_5905` `cube-div_binary64_5904` `cube-prod_binary64_5903` `cube-neg_binary64_5902` `rem-3cbrt-rft_binary64_5901` `rem-3cbrt-lft_binary64_5900` `rem-cbrt-cube_binary64_5899` `rem-cube-cbrt_binary64_5898` `sqr-abs_binary64_5890` `sqr-neg_binary64_5889` `rem-sqrt-square_binary64_5888` `rem-square-sqrt_binary64_5887` `times-frac_binary64_5881` `unsub-neg_binary64_5869` `mul-1-neg_binary64_5867` `/-rgt-identity_binary64_5866` `-rgt-identity_binary64_5865` `-lft-identity_binary64_5864` `remove-double-neg_binary64_5863` `+-rgt-identity_binary64_5860` `+-lft-identity_binary64_5859` `-inverses_binary64_5855` `+-inverses_binary64_5854` `lft-mult-inverse_binary64_5853` `rgt-mult-inverse_binary64_5852` `remove-double-div_binary64_5851` `pow-sqr_binary64_5848` `sqr-pow_binary64_5847` `difference-of-sqr--1_binary64_5846` `difference-of-sqr-1_binary64_5845` `difference-of-squares_binary64_5844` `unswap-sqr_binary64_5843` `swap-sqr_binary64_5842` `cancel-sign-sub-inv_binary64_5841` `cancel-sign-sub_binary64_5840` `distribute-neg-frac_binary64_5839` `distribute-neg-out_binary64_5837` `distribute-neg-in_binary64_5836` `distribute-rgt-neg-out_binary64_5835` `distribute-lft-neg-out_binary64_5834` `distribute-rgt-neg-in_binary64_5833` `distribute-lft-neg-in_binary64_5832` `distribute-rgt1-in_binary64_5831` `distribute-lft1-in_binary64_5830` `distribute-rgt-out--_binary64_5829` `distribute-rgt-out_binary64_5828` `distribute-lft-out--_binary64_5827` `distribute-lft-out_binary64_5826` `count-2_binary64_5823` `associate-/l/_binary64_5822` `associate-/r_binary64_5819` `associate-l/_binary64_5818` `associate-r/_binary64_5817` `associate-l_binary64_5816` `associate-r_binary64_5815` `associate--r-_binary64_5814` `associate--l-_binary64_5813` `associate--l+_binary64_5812` `associate-+r-_binary64_5809` `associate-+l+_binary64_5808` `associate-+r+_binary64_5807`

Counts

1 → 1

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

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

1.0b

Counts

2 → 1

Compiler

Compiled 28 to 28 computations (0% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.9b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b	(*.f64 PI.f64 2/3)

rewrite134.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_5897`
14×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
9×	`times-frac_binary64_5881`
8×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911`
6×	`pow1_binary64_5936` `add-log-exp_binary64_5914` `div-sub_binary64_5880`
4×	`associate-+r-_binary64_5809`
3×	`associate-l_binary64_5816` `associate-r_binary64_5815` `distribute-frac-neg_binary64_5838` `acos-neg_binary64_6058` `acos-asin_binary64_6056` `associate-/l_binary64_5820` `associate-/r_binary64_5819`
2×	`cos-diff_binary64_6012`
1×	`pow-prod-down_binary64_5946` `prod-exp_binary64_5924` `cbrt-unprod_binary64_5908` `unswap-sqr_binary64_5843` `*-commutative_binary64_5806` `cos-sum_binary64_6009` `sum-log_binary64_5966` `flip3-+_binary64_5878` `flip-+_binary64_5849` `+-commutative_binary64_5805` `div-exp_binary64_5926` `cbrt-undiv_binary64_5909` `frac-2neg_binary64_5886` `clear-num_binary64_5874` `div-inv_binary64_5872`

Counts

4 → 70

Calls

4 calls:

8.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
7.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
4.0ms	(*.f64 PI.f64 2/3)
3.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

Compiler

Compiled 1547 to 910 computations (41.2% saved)

series392.0ms (7.3%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

219.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
105.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
65.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

Compiler

Compiled 570 to 566 computations (0.7% saved)

simplify148.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

728×	`div-sub_binary64_5880`
384×	`sub-neg_binary64_5868`
361×	`associate-/r/_binary64_5821`
278×	`associate-/r*_binary64_5819`
228×	`cancel-sign-sub-inv_binary64_5841`
201×	`distribute-rgt-out_binary64_5828` `distribute-rgt-in_binary64_5825`
199×	`associate-/l*_binary64_5820`
180×	`distribute-lft-in_binary64_5824`
167×	`associate-l_binary64_5816`
166×	`*-commutative_binary64_5806`
151×	`associate-*l/_binary64_5818`
143×	`associate-/l/_binary64_5822`
130×	`associate-r_binary64_5815`
128×	`associate-+l-_binary64_5810`
123×	`associate--l-_binary64_5813`
109×	`distribute-rgt-neg-in_binary64_5833` `associate-*r/_binary64_5817`
102×	`unsub-neg_binary64_5869`
89×	`neg-sub0_binary64_5870`
85×	`associate--l+_binary64_5812` `associate-+l+_binary64_5808`
84×	`distribute-neg-frac_binary64_5839`
83×	`sqr-pow_binary64_5847`
81×	`neg-mul-1_binary64_5871`
79×	`distribute-lft-neg-in_binary64_5832`
75×	`associate-+r+_binary64_5807`
65×	`distribute-lft-out_binary64_5826` `associate-+r-_binary64_5809`
63×	`times-frac_binary64_5881`
62×	`associate--r+_binary64_5811`
55×	`/-rgt-identity_binary64_5866`
48×	`*-lft-identity_binary64_5864`
45×	`+-commutative_binary64_5805`
43×	`cube-prod_binary64_5903`
38×	`*-rgt-identity_binary64_5865`
33×	`distribute-rgt-out--_binary64_5829`
31×	`exp-prod_binary64_5927` `cube-div_binary64_5904` `distribute-neg-in_binary64_5836`
30×	`log-prod_binary64_5961`
29×	`sub0-neg_binary64_5862`
26×	`log-div_binary64_5962`
25×	`associate--r-_binary64_5814`
22×	`distribute-lft-neg-out_binary64_5834`
20×	`+-rgt-identity_binary64_5860`
16×	`exp-sum_binary64_5921` `remove-double-neg_binary64_5863` `unswap-sqr_binary64_5843`
15×	`pow-sqr_binary64_5848`
13×	`unpow3_binary64_5941` `exp-diff_binary64_5923`
11×	`swap-sqr_binary64_5842`
10×	`distribute-rgt-neg-out_binary64_5835`
9×	`cube-unmult_binary64_5912` `rem-sqrt-square_binary64_5888`
8×	`div0_binary64_5856`
7×	`log-rec_binary64_5963` `cube-mult_binary64_5905` `mul0-rgt_binary64_5858`
6×	`--rgt-identity_binary64_5861` `+-lft-identity_binary64_5859` `remove-double-div_binary64_5851` `distribute-neg-out_binary64_5837`
5×	`unpow1/2_binary64_5939` `pow-plus_binary64_5938` `mul0-lft_binary64_5857` `distribute-lft-out--_binary64_5827`
4×	`prod-exp_binary64_5924` `cube-neg_binary64_5902` `mul-1-neg_binary64_5867` `distribute-rgt1-in_binary64_5831`
3×	`sin-neg_binary64_6005` `exp-cbrt_binary64_5929`
2×	`cos-neg_binary64_6006` `unpow2_binary64_5940` `1-exp_binary64_5919` `sqr-neg_binary64_5889` `difference-of-squares_binary64_5844`
1×	`cos-PI_binary64_5987` `sin-PI_binary64_5980` `unpow1/3_binary64_5942` `exp-1-e_binary64_5918` `distribute-frac-neg_binary64_5838` `distribute-lft1-in_binary64_5830` `count-2_binary64_5823`
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_6138` `erf-erfc_binary64_6137` `erf-odd_binary64_6136` `if-if-and-not_binary64_6135` `if-if-and_binary64_6134` `if-if-or-not_binary64_6133` `if-if-or_binary64_6132` `if-not_binary64_6131` `if-same_binary64_6130` `if-false_binary64_6129` `if-true_binary64_6128` `not-gte_binary64_6127` `not-lte_binary64_6126` `not-gt_binary64_6125` `not-lt_binary64_6124` `gte-same_binary64_6123` `lte-same_binary64_6122` `gt-same_binary64_6121` `lt-same_binary64_6120` `sinh---cosh_binary64_6067` `sinh-+-cosh_binary64_6066` `sinh-cosh_binary64_6065` `tanh-def-c_binary64_6064` `tanh-def-b_binary64_6063` `tanh-def-a_binary64_6062` `cosh-def_binary64_6061` `sinh-def_binary64_6060` `tan-neg_binary64_6007` `tan-0_binary64_6004` `cos-0_binary64_6003` `sin-0_binary64_6002` `hang-m-tan_binary64_6001` `hang-p-tan_binary64_6000` `hang-m0-tan_binary64_5999` `hang-p0-tan_binary64_5998` `hang-0m-tan_binary64_5997` `hang-0p-tan_binary64_5996` `tan-+PI/2_binary64_5995` `tan-+PI_binary64_5994` `tan-PI_binary64_5993` `tan-PI/3_binary64_5992` `tan-PI/4_binary64_5991` `tan-PI/6_binary64_5990` `cos-+PI/2_binary64_5989` `cos-+PI_binary64_5988` `cos-PI/2_binary64_5986` `cos-PI/3_binary64_5985` `cos-PI/4_binary64_5984` `cos-PI/6_binary64_5983` `sin-+PI/2_binary64_5982` `sin-+PI_binary64_5981` `sin-PI/2_binary64_5979` `sin-PI/3_binary64_5978` `sin-PI/4_binary64_5977` `sin-PI/6_binary64_5976` `sub-1-sin_binary64_5975` `sub-1-cos_binary64_5974` `-1-add-sin_binary64_5973` `-1-add-cos_binary64_5972` `1-sub-sin_binary64_5971` `1-sub-cos_binary64_5970` `cos-sin-sum_binary64_5969` `log-E_binary64_5965` `log-pow_binary64_5964` `pow-base-0_binary64_5959` `exp-to-pow_binary64_5937` `pow-base-1_binary64_5935` `unpow0_binary64_5934` `unpow1_binary64_5933` `unpow-1_binary64_5932` `exp-lft-cube_binary64_5931` `exp-lft-sqr_binary64_5930` `exp-sqrt_binary64_5928` `div-exp_binary64_5926` `rec-exp_binary64_5925` `exp-neg_binary64_5922` `e-exp-1_binary64_5920` `exp-0_binary64_5917` `rem-log-exp_binary64_5916` `rem-exp-log_binary64_5915` `rem-3cbrt-rft_binary64_5901` `rem-3cbrt-lft_binary64_5900` `rem-cbrt-cube_binary64_5899` `rem-cube-cbrt_binary64_5898` `sqr-abs_binary64_5890` `rem-square-sqrt_binary64_5887` `*-inverses_binary64_5855` `+-inverses_binary64_5854` `lft-mult-inverse_binary64_5853` `rgt-mult-inverse_binary64_5852` `difference-of-sqr--1_binary64_5846` `difference-of-sqr-1_binary64_5845` `cancel-sign-sub_binary64_5840`

Counts

88 → 75

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	150	1689
1	271	1611
2	550	1608
3	1152	1564
4	2589	1558
5	4130	1544
6	4499	1544
7	5183	1544

prune91.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	2	76

Error

0.9b

Counts

76 → 2

Compiler

Compiled 1152 to 673 computations (41.6% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
0.9b	(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite71.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-cube-cbrt_binary64_5910` `add-sqr-sqrt_binary64_5897` `*-un-lft-identity_binary64_5875`
9×	`times-frac_binary64_5881`
4×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911`
3×	`associate-/l_binary64_5820` `associate-/r_binary64_5819`
2×	`pow1_binary64_5936` `add-log-exp_binary64_5914` `acos-asin_binary64_6056` `div-sub_binary64_5880`
1×	`div-exp_binary64_5926` `cbrt-undiv_binary64_5909` `frac-2neg_binary64_5886` `clear-num_binary64_5874` `div-inv_binary64_5872` `cos-diff_binary64_6012`

Counts

2 → 36

Calls

2 calls:

3.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
3.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))

Compiler

Compiled 713 to 455 computations (36.2% saved)

series222.0ms (4.1%)

Error

0.9b

Counts

2 → 12

Calls

2 calls:

156.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
63.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 300 to 300 computations (0% saved)

simplify184.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

469×	`associate-/l/_binary64_5822`
442×	`unsub-neg_binary64_5869` `unswap-sqr_binary64_5843`
393×	`associate-/r/_binary64_5821`
390×	`associate-/l*_binary64_5820`
362×	`distribute-rgt-in_binary64_5825`
318×	`times-frac_binary64_5881`
295×	`sqr-pow_binary64_5847`
280×	`associate-/r*_binary64_5819`
269×	`cancel-sign-sub-inv_binary64_5841`
250×	`distribute-neg-in_binary64_5836`
228×	`sub-neg_binary64_5868`
204×	`pow-sqr_binary64_5848`
179×	`*-commutative_binary64_5806`
176×	`associate-*l/_binary64_5818`
166×	`associate-*r/_binary64_5817`
129×	`distribute-lft-in_binary64_5824`
116×	`+-commutative_binary64_5805`
110×	`associate--r-_binary64_5814`
97×	`neg-sub0_binary64_5870`
93×	`neg-mul-1_binary64_5871`
87×	`associate-l_binary64_5816`
81×	`associate--l-_binary64_5813`
79×	`associate--r+_binary64_5811`
72×	`*-lft-identity_binary64_5864`
70×	`div-sub_binary64_5880` `distribute-lft-neg-out_binary64_5834`
67×	`distribute-rgt-neg-in_binary64_5833`
63×	`-rgt-identity_binary64_5865` `associate-r*_binary64_5815`
60×	`associate--l+_binary64_5812`
58×	`distribute-lft-neg-in_binary64_5832`
50×	`distribute-neg-out_binary64_5837`
49×	`pow-plus_binary64_5938` `cube-prod_binary64_5903`
47×	`associate-+r+_binary64_5807`
46×	`associate-+l-_binary64_5810`
36×	`associate-+l+_binary64_5808`
34×	`unpow3_binary64_5941`
32×	`cancel-sign-sub_binary64_5840`
30×	`remove-double-neg_binary64_5863` `distribute-rgt-neg-out_binary64_5835`
25×	`associate-+r-_binary64_5809`
24×	`cube-mult_binary64_5905` `swap-sqr_binary64_5842`
22×	`/-rgt-identity_binary64_5866`
20×	`cube-unmult_binary64_5912`
18×	`distribute-lft-out--_binary64_5827`
15×	`cube-div_binary64_5904` `rem-sqrt-square_binary64_5888`
13×	`unpow2_binary64_5940` `unpow1_binary64_5933`
12×	`distribute-rgt-out_binary64_5828`
11×	`div0_binary64_5856`
10×	`+-rgt-identity_binary64_5860`
9×	`unpow1/2_binary64_5939`
8×	`mul0-rgt_binary64_5858` `mul0-lft_binary64_5857`
7×	`distribute-rgt-out--_binary64_5829` `distribute-lft-out_binary64_5826`
6×	`mul-1-neg_binary64_5867`
5×	`log-div_binary64_5962` `--rgt-identity_binary64_5861`
4×	`log-prod_binary64_5961` `exp-sum_binary64_5921` `distribute-rgt1-in_binary64_5831`
2×	`exp-prod_binary64_5927` `exp-diff_binary64_5923` `sub0-neg_binary64_5862` `+-lft-identity_binary64_5859` `distribute-lft1-in_binary64_5830`
1×	`cos-PI/6_binary64_5983` `sin-PI/6_binary64_5976` `log-rec_binary64_5963` `exp-cbrt_binary64_5929` `1-exp_binary64_5919` `distribute-neg-frac_binary64_5839` `count-2_binary64_5823`
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_6138` `erf-erfc_binary64_6137` `erf-odd_binary64_6136` `if-if-and-not_binary64_6135` `if-if-and_binary64_6134` `if-if-or-not_binary64_6133` `if-if-or_binary64_6132` `if-not_binary64_6131` `if-same_binary64_6130` `if-false_binary64_6129` `if-true_binary64_6128` `not-gte_binary64_6127` `not-lte_binary64_6126` `not-gt_binary64_6125` `not-lt_binary64_6124` `gte-same_binary64_6123` `lte-same_binary64_6122` `gt-same_binary64_6121` `lt-same_binary64_6120` `sinh---cosh_binary64_6067` `sinh-+-cosh_binary64_6066` `sinh-cosh_binary64_6065` `tanh-def-c_binary64_6064` `tanh-def-b_binary64_6063` `tanh-def-a_binary64_6062` `cosh-def_binary64_6061` `sinh-def_binary64_6060` `tan-neg_binary64_6007` `cos-neg_binary64_6006` `sin-neg_binary64_6005` `tan-0_binary64_6004` `cos-0_binary64_6003` `sin-0_binary64_6002` `hang-m-tan_binary64_6001` `hang-p-tan_binary64_6000` `hang-m0-tan_binary64_5999` `hang-p0-tan_binary64_5998` `hang-0m-tan_binary64_5997` `hang-0p-tan_binary64_5996` `tan-+PI/2_binary64_5995` `tan-+PI_binary64_5994` `tan-PI_binary64_5993` `tan-PI/3_binary64_5992` `tan-PI/4_binary64_5991` `tan-PI/6_binary64_5990` `cos-+PI/2_binary64_5989` `cos-+PI_binary64_5988` `cos-PI_binary64_5987` `cos-PI/2_binary64_5986` `cos-PI/3_binary64_5985` `cos-PI/4_binary64_5984` `sin-+PI/2_binary64_5982` `sin-+PI_binary64_5981` `sin-PI_binary64_5980` `sin-PI/2_binary64_5979` `sin-PI/3_binary64_5978` `sin-PI/4_binary64_5977` `sub-1-sin_binary64_5975` `sub-1-cos_binary64_5974` `-1-add-sin_binary64_5973` `-1-add-cos_binary64_5972` `1-sub-sin_binary64_5971` `1-sub-cos_binary64_5970` `cos-sin-sum_binary64_5969` `log-E_binary64_5965` `log-pow_binary64_5964` `pow-base-0_binary64_5959` `unpow1/3_binary64_5942` `exp-to-pow_binary64_5937` `pow-base-1_binary64_5935` `unpow0_binary64_5934` `unpow-1_binary64_5932` `exp-lft-cube_binary64_5931` `exp-lft-sqr_binary64_5930` `exp-sqrt_binary64_5928` `div-exp_binary64_5926` `rec-exp_binary64_5925` `prod-exp_binary64_5924` `exp-neg_binary64_5922` `e-exp-1_binary64_5920` `exp-1-e_binary64_5918` `exp-0_binary64_5917` `rem-log-exp_binary64_5916` `rem-exp-log_binary64_5915` `cube-neg_binary64_5902` `rem-3cbrt-rft_binary64_5901` `rem-3cbrt-lft_binary64_5900` `rem-cbrt-cube_binary64_5899` `rem-cube-cbrt_binary64_5898` `sqr-abs_binary64_5890` `sqr-neg_binary64_5889` `rem-square-sqrt_binary64_5887` `*-inverses_binary64_5855` `+-inverses_binary64_5854` `lft-mult-inverse_binary64_5853` `rgt-mult-inverse_binary64_5852` `remove-double-div_binary64_5851` `difference-of-sqr--1_binary64_5846` `difference-of-sqr-1_binary64_5845` `difference-of-squares_binary64_5844` `distribute-frac-neg_binary64_5838`

Counts

48 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	769
1	118	701
2	189	701
3	289	701
4	571	701
5	1055	701
6	1748	701
7	3211	701
8	3977	701
9	4246	701
10	4305	701
11	4501	701
12	4849	701
13	4749	701

prune36.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	20	2	22

Error

Counts

22 → 2

Compiler

Compiled 365 to 251 computations (31.2% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3)))
0.0b	(+.f64 (.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))
0.2b	(/.f64 (asin.f64 (/.f64 g h)) 3)
0.2b	(/.f64 (asin.f64 (/.f64 g h)) 3)

rewrite315.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`add-sqr-sqrt_binary64_5897`
38×	`times-frac_binary64_5881`
34×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
22×	`associate-l_binary64_5816`
13×	`add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911`
10×	`sqrt-prod_binary64_5891`
6×	`pow1_binary64_5936` `add-log-exp_binary64_5914` `asin-acos_binary64_6055` `div-sub_binary64_5880` `associate-/l_binary64_5820` `associate-/r_binary64_5819`
4×	`cos-diff_binary64_6012`
3×	`div-exp_binary64_5926` `cbrt-undiv_binary64_5909` `div-inv_binary64_5872` `unswap-sqr_binary64_5843` `associate-r_binary64_5815`
2×	`frac-2neg_binary64_5886` `clear-num_binary64_5874` `distribute-rgt-in_binary64_5825` `associate-+l+_binary64_5808` `distribute-lft-in_binary64_5824` `prod-exp_binary64_5924` `cbrt-unprod_binary64_5908`
1×	`sum-log_binary64_5966` `flip3-+_binary64_5878` `flip-+_binary64_5849` `+-commutative_binary64_5805` `pow-prod-down_binary64_5946` `associate-l/_binary64_5818` `-commutative_binary64_5806`

Counts

4 → 113

Calls

4 calls:

10.0ms	(*.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3)))
9.0ms	(+.f64 (.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))
4.0ms	(/.f64 (asin.f64 (/.f64 g h)) 3)
4.0ms	(/.f64 (asin.f64 (/.f64 g h)) 3)

Compiler

Compiled 4003 to 2806 computations (29.9% saved)

series912.0ms (16.9%)

Error

Counts

4 → 24

Calls

4 calls:

482.0ms	(+.f64 (.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))
283.0ms	(*.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3)))
71.0ms	(/.f64 (asin.f64 (/.f64 g h)) 3)
69.0ms	(/.f64 (asin.f64 (/.f64 g h)) 3)

Compiler

Compiled 1404 to 1184 computations (15.7% saved)

simplify207.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

659×	`associate-/l*_binary64_5820`
390×	`associate-l_binary64_5816`
303×	`associate-r_binary64_5815`
281×	`distribute-rgt-in_binary64_5825`
258×	`distribute-lft-in_binary64_5824`
234×	`associate-/l/_binary64_5822`
212×	`associate-*l/_binary64_5818`
178×	`associate-*r/_binary64_5817`
175×	`*-commutative_binary64_5806`
174×	`associate-/r/_binary64_5821`
144×	`associate-/r*_binary64_5819`
142×	`unswap-sqr_binary64_5843`
127×	`sub-neg_binary64_5868`
122×	`distribute-rgt-neg-in_binary64_5833`
115×	`cancel-sign-sub-inv_binary64_5841`
100×	`distribute-rgt-out_binary64_5828`
96×	`distribute-lft-neg-in_binary64_5832`
89×	`sqr-pow_binary64_5847`
66×	`neg-mul-1_binary64_5871`
63×	`neg-sub0_binary64_5870`
60×	`*-lft-identity_binary64_5864`
52×	`unsub-neg_binary64_5869`
51×	`pow-sqr_binary64_5848`
50×	`*-rgt-identity_binary64_5865`
46×	`distribute-neg-frac_binary64_5839`
44×	`distribute-lft-out_binary64_5826`
39×	`div-sub_binary64_5880`
38×	`exp-prod_binary64_5927` `rem-sqrt-square_binary64_5888`
37×	`cube-prod_binary64_5903` `times-frac_binary64_5881`
34×	`log-prod_binary64_5961`
28×	`/-rgt-identity_binary64_5866`
26×	`distribute-lft-neg-out_binary64_5834`
22×	`log-div_binary64_5962` `cube-div_binary64_5904` `+-commutative_binary64_5805`
20×	`unpow3_binary64_5941`
18×	`distribute-rgt-out--_binary64_5829`
16×	`associate-+l+_binary64_5808`
14×	`swap-sqr_binary64_5842`
12×	`distribute-rgt-neg-out_binary64_5835` `associate-+r+_binary64_5807`
11×	`cube-mult_binary64_5905` `div0_binary64_5856` `associate-+l-_binary64_5810` `associate-+r-_binary64_5809`
9×	`prod-exp_binary64_5924` `cube-unmult_binary64_5912` `distribute-neg-in_binary64_5836`
8×	`+-rgt-identity_binary64_5860` `mul0-rgt_binary64_5858` `mul0-lft_binary64_5857`
7×	`pow-plus_binary64_5938`
6×	`unpow1/2_binary64_5939`
5×	`sub0-neg_binary64_5862`
4×	`log-rec_binary64_5963` `exp-sqrt_binary64_5928` `exp-sum_binary64_5921` `remove-double-neg_binary64_5863` `distribute-lft-out--_binary64_5827`
2×	`difference-of-squares_binary64_5844` `associate--l-_binary64_5813`
1×	`cos-PI/6_binary64_5983` `sin-PI/6_binary64_5976` `exp-cbrt_binary64_5929` `1-exp_binary64_5919` `exp-1-e_binary64_5918` `rem-square-sqrt_binary64_5887` `count-2_binary64_5823` `associate--l+_binary64_5812` `associate--r+_binary64_5811`
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_6138` `erf-erfc_binary64_6137` `erf-odd_binary64_6136` `if-if-and-not_binary64_6135` `if-if-and_binary64_6134` `if-if-or-not_binary64_6133` `if-if-or_binary64_6132` `if-not_binary64_6131` `if-same_binary64_6130` `if-false_binary64_6129` `if-true_binary64_6128` `not-gte_binary64_6127` `not-lte_binary64_6126` `not-gt_binary64_6125` `not-lt_binary64_6124` `gte-same_binary64_6123` `lte-same_binary64_6122` `gt-same_binary64_6121` `lt-same_binary64_6120` `sinh---cosh_binary64_6067` `sinh-+-cosh_binary64_6066` `sinh-cosh_binary64_6065` `tanh-def-c_binary64_6064` `tanh-def-b_binary64_6063` `tanh-def-a_binary64_6062` `cosh-def_binary64_6061` `sinh-def_binary64_6060` `tan-neg_binary64_6007` `cos-neg_binary64_6006` `sin-neg_binary64_6005` `tan-0_binary64_6004` `cos-0_binary64_6003` `sin-0_binary64_6002` `hang-m-tan_binary64_6001` `hang-p-tan_binary64_6000` `hang-m0-tan_binary64_5999` `hang-p0-tan_binary64_5998` `hang-0m-tan_binary64_5997` `hang-0p-tan_binary64_5996` `tan-+PI/2_binary64_5995` `tan-+PI_binary64_5994` `tan-PI_binary64_5993` `tan-PI/3_binary64_5992` `tan-PI/4_binary64_5991` `tan-PI/6_binary64_5990` `cos-+PI/2_binary64_5989` `cos-+PI_binary64_5988` `cos-PI_binary64_5987` `cos-PI/2_binary64_5986` `cos-PI/3_binary64_5985` `cos-PI/4_binary64_5984` `sin-+PI/2_binary64_5982` `sin-+PI_binary64_5981` `sin-PI_binary64_5980` `sin-PI/2_binary64_5979` `sin-PI/3_binary64_5978` `sin-PI/4_binary64_5977` `sub-1-sin_binary64_5975` `sub-1-cos_binary64_5974` `-1-add-sin_binary64_5973` `-1-add-cos_binary64_5972` `1-sub-sin_binary64_5971` `1-sub-cos_binary64_5970` `cos-sin-sum_binary64_5969` `log-E_binary64_5965` `log-pow_binary64_5964` `pow-base-0_binary64_5959` `unpow1/3_binary64_5942` `unpow2_binary64_5940` `exp-to-pow_binary64_5937` `pow-base-1_binary64_5935` `unpow0_binary64_5934` `unpow1_binary64_5933` `unpow-1_binary64_5932` `exp-lft-cube_binary64_5931` `exp-lft-sqr_binary64_5930` `div-exp_binary64_5926` `rec-exp_binary64_5925` `exp-diff_binary64_5923` `exp-neg_binary64_5922` `e-exp-1_binary64_5920` `exp-0_binary64_5917` `rem-log-exp_binary64_5916` `rem-exp-log_binary64_5915` `cube-neg_binary64_5902` `rem-3cbrt-rft_binary64_5901` `rem-3cbrt-lft_binary64_5900` `rem-cbrt-cube_binary64_5899` `rem-cube-cbrt_binary64_5898` `sqr-abs_binary64_5890` `sqr-neg_binary64_5889` `mul-1-neg_binary64_5867` `--rgt-identity_binary64_5861` `+-lft-identity_binary64_5859` `*-inverses_binary64_5855` `+-inverses_binary64_5854` `lft-mult-inverse_binary64_5853` `rgt-mult-inverse_binary64_5852` `remove-double-div_binary64_5851` `difference-of-sqr--1_binary64_5846` `difference-of-sqr-1_binary64_5845` `cancel-sign-sub_binary64_5840` `distribute-frac-neg_binary64_5838` `distribute-neg-out_binary64_5837` `distribute-rgt1-in_binary64_5831` `distribute-lft1-in_binary64_5830` `associate--r-_binary64_5814`

Counts

137 → 85

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	176	3183
1	387	2957
2	921	2942
3	2221	2915
4	4458	2915
5	4855	2913
6	4993	2913
7	4851	2913

prune152.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	85	2	87

Error

Counts

87 → 2

Compiler

Compiled 2371 to 1688 computations (28.8% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
1.0b	(*.f64 (acos.f64 (/.f64 g h)) 1/3)

rewrite37.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_5897`
4×	`pow1_binary64_5936` `add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911` `add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
3×	`associate-l_binary64_5816` `associate-r_binary64_5815`
2×	`add-log-exp_binary64_5914`
1×	`pow-prod-down_binary64_5946` `prod-exp_binary64_5924` `cbrt-unprod_binary64_5908` `unswap-sqr_binary64_5843` `*-commutative_binary64_5806`

Counts

2 → 25

Calls

2 calls:

4.0ms	(*.f64 (acos.f64 (/.f64 g h)) 1/3)
2.0ms	(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))

Compiler

Compiled 441 to 284 computations (35.6% saved)

series219.0ms (4.1%)

Error

Counts

2 → 12

Calls

2 calls:

158.0ms	(cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
58.0ms	(*.f64 (acos.f64 (/.f64 g h)) 1/3)

Compiler

Compiled 300 to 300 computations (0% saved)

simplify73.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

455×	`unswap-sqr_binary64_5843`
428×	`associate-*l/_binary64_5818`
378×	`associate-*r/_binary64_5817`
266×	`*-commutative_binary64_5806`
241×	`associate-/r/_binary64_5821` `associate--l-_binary64_5813`
230×	`associate-l_binary64_5816`
187×	`associate-/l/_binary64_5822`
182×	`associate-r_binary64_5815`
175×	`sqr-pow_binary64_5847`
150×	`log-div_binary64_5962`
149×	`cube-div_binary64_5904`
142×	`associate-/l*_binary64_5820`
141×	`sub-neg_binary64_5868`
139×	`associate--r-_binary64_5814`
111×	`cube-prod_binary64_5903`
96×	`associate-/r*_binary64_5819`
93×	`log-prod_binary64_5961`
82×	`swap-sqr_binary64_5842`
65×	`associate-+l+_binary64_5808`
62×	`pow-sqr_binary64_5848`
55×	`exp-prod_binary64_5927`
48×	`cancel-sign-sub-inv_binary64_5841`
46×	`times-frac_binary64_5881`
44×	`pow-plus_binary64_5938` `rem-sqrt-square_binary64_5888`
43×	`*-lft-identity_binary64_5864` `associate-+l-_binary64_5810` `associate-+r-_binary64_5809`
40×	`cube-unmult_binary64_5912` `associate-+r+_binary64_5807`
38×	`*-rgt-identity_binary64_5865`
28×	`+-commutative_binary64_5805`
27×	`exp-sqrt_binary64_5928`
17×	`cube-mult_binary64_5905`
12×	`unpow3_binary64_5941` `/-rgt-identity_binary64_5866`
10×	`distribute-rgt-out_binary64_5828`
9×	`log-rec_binary64_5963`
8×	`unpow2_binary64_5940` `exp-lft-sqr_binary64_5930`
7×	`prod-exp_binary64_5924`
6×	`distribute-lft-out_binary64_5826`
5×	`distribute-neg-in_binary64_5836` `distribute-rgt1-in_binary64_5831`
3×	`neg-mul-1_binary64_5871` `neg-sub0_binary64_5870`
2×	`unpow1/2_binary64_5939` `exp-cbrt_binary64_5929` `distribute-lft1-in_binary64_5830` `distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824`
1×	`unpow1/3_binary64_5942` `unpow1_binary64_5933` `1-exp_binary64_5919` `exp-1-e_binary64_5918` `remove-double-div_binary64_5851` `count-2_binary64_5823`
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_6138` `erf-erfc_binary64_6137` `erf-odd_binary64_6136` `if-if-and-not_binary64_6135` `if-if-and_binary64_6134` `if-if-or-not_binary64_6133` `if-if-or_binary64_6132` `if-not_binary64_6131` `if-same_binary64_6130` `if-false_binary64_6129` `if-true_binary64_6128` `not-gte_binary64_6127` `not-lte_binary64_6126` `not-gt_binary64_6125` `not-lt_binary64_6124` `gte-same_binary64_6123` `lte-same_binary64_6122` `gt-same_binary64_6121` `lt-same_binary64_6120` `sinh---cosh_binary64_6067` `sinh-+-cosh_binary64_6066` `sinh-cosh_binary64_6065` `tanh-def-c_binary64_6064` `tanh-def-b_binary64_6063` `tanh-def-a_binary64_6062` `cosh-def_binary64_6061` `sinh-def_binary64_6060` `tan-neg_binary64_6007` `cos-neg_binary64_6006` `sin-neg_binary64_6005` `tan-0_binary64_6004` `cos-0_binary64_6003` `sin-0_binary64_6002` `hang-m-tan_binary64_6001` `hang-p-tan_binary64_6000` `hang-m0-tan_binary64_5999` `hang-p0-tan_binary64_5998` `hang-0m-tan_binary64_5997` `hang-0p-tan_binary64_5996` `tan-+PI/2_binary64_5995` `tan-+PI_binary64_5994` `tan-PI_binary64_5993` `tan-PI/3_binary64_5992` `tan-PI/4_binary64_5991` `tan-PI/6_binary64_5990` `cos-+PI/2_binary64_5989` `cos-+PI_binary64_5988` `cos-PI_binary64_5987` `cos-PI/2_binary64_5986` `cos-PI/3_binary64_5985` `cos-PI/4_binary64_5984` `cos-PI/6_binary64_5983` `sin-+PI/2_binary64_5982` `sin-+PI_binary64_5981` `sin-PI_binary64_5980` `sin-PI/2_binary64_5979` `sin-PI/3_binary64_5978` `sin-PI/4_binary64_5977` `sin-PI/6_binary64_5976` `sub-1-sin_binary64_5975` `sub-1-cos_binary64_5974` `-1-add-sin_binary64_5973` `-1-add-cos_binary64_5972` `1-sub-sin_binary64_5971` `1-sub-cos_binary64_5970` `cos-sin-sum_binary64_5969` `log-E_binary64_5965` `log-pow_binary64_5964` `pow-base-0_binary64_5959` `exp-to-pow_binary64_5937` `pow-base-1_binary64_5935` `unpow0_binary64_5934` `unpow-1_binary64_5932` `exp-lft-cube_binary64_5931` `div-exp_binary64_5926` `rec-exp_binary64_5925` `exp-diff_binary64_5923` `exp-neg_binary64_5922` `exp-sum_binary64_5921` `e-exp-1_binary64_5920` `exp-0_binary64_5917` `rem-log-exp_binary64_5916` `rem-exp-log_binary64_5915` `cube-neg_binary64_5902` `rem-3cbrt-rft_binary64_5901` `rem-3cbrt-lft_binary64_5900` `rem-cbrt-cube_binary64_5899` `rem-cube-cbrt_binary64_5898` `sqr-abs_binary64_5890` `sqr-neg_binary64_5889` `rem-square-sqrt_binary64_5887` `div-sub_binary64_5880` `unsub-neg_binary64_5869` `mul-1-neg_binary64_5867` `remove-double-neg_binary64_5863` `sub0-neg_binary64_5862` `--rgt-identity_binary64_5861` `+-rgt-identity_binary64_5860` `+-lft-identity_binary64_5859` `mul0-rgt_binary64_5858` `mul0-lft_binary64_5857` `div0_binary64_5856` `*-inverses_binary64_5855` `+-inverses_binary64_5854` `lft-mult-inverse_binary64_5853` `rgt-mult-inverse_binary64_5852` `difference-of-sqr--1_binary64_5846` `difference-of-sqr-1_binary64_5845` `difference-of-squares_binary64_5844` `cancel-sign-sub_binary64_5840` `distribute-neg-frac_binary64_5839` `distribute-frac-neg_binary64_5838` `distribute-neg-out_binary64_5837` `distribute-rgt-neg-out_binary64_5835` `distribute-lft-neg-out_binary64_5834` `distribute-rgt-neg-in_binary64_5833` `distribute-lft-neg-in_binary64_5832` `distribute-rgt-out--_binary64_5829` `distribute-lft-out--_binary64_5827` `associate--l+_binary64_5812` `associate--r+_binary64_5811`

Counts

37 → 17

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	495
1	71	439
2	157	439
3	216	439
4	306	439
5	536	439
6	883	439
7	1374	439
8	3439	439
9	4776	439

prune20.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	17	2	19

Error

Counts

19 → 2

Compiler

Compiled 272 to 177 computations (34.9% saved)

regimes724.0ms (13.4%)

Accuracy

Total 0.0b remaining (84.7%)

Threshold costs 0.0b (84.7%)

Compiler

Compiled 7009 to 6379 computations (9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64_5806`
3×	`neg-mul-1_binary64_5871` `neg-sub0_binary64_5870`
2×	`+-commutative_binary64_5805`
1×	`1-exp_binary64_5919` `sub-neg_binary64_5868` `+-rgt-identity_binary64_5860` `distribute-rgt-neg-out_binary64_5835` `distribute-lft-neg-out_binary64_5834` `distribute-rgt-neg-in_binary64_5833` `distribute-lft-neg-in_binary64_5832`
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_6135` `if-if-and_binary64_6134` `if-if-or-not_binary64_6133` `if-if-or_binary64_6132` `if-not_binary64_6131` `if-same_binary64_6130` `if-false_binary64_6129` `if-true_binary64_6128` `tan-0_binary64_6004` `cos-0_binary64_6003` `sin-0_binary64_6002` `unpow1_binary64_5933` `e-exp-1_binary64_5920` `exp-1-e_binary64_5918` `exp-0_binary64_5917` `sqr-abs_binary64_5890` `sqr-neg_binary64_5889` `unsub-neg_binary64_5869` `mul-1-neg_binary64_5867` `/-rgt-identity_binary64_5866` `-rgt-identity_binary64_5865` `-lft-identity_binary64_5864` `remove-double-neg_binary64_5863` `sub0-neg_binary64_5862` `--rgt-identity_binary64_5861` `+-lft-identity_binary64_5859` `cancel-sign-sub-inv_binary64_5841` `cancel-sign-sub_binary64_5840` `distribute-neg-frac_binary64_5839` `distribute-frac-neg_binary64_5838` `distribute-neg-out_binary64_5837` `distribute-neg-in_binary64_5836`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	31
1	25	31
2	30	29
3	35	29
4	37	29
5	38	29
6	36	29

end2.0ms (0%)

Compiler: Compiled 18 to 18 computations (0% saved)

sample1.0s (19.3%)

Algorithm

1×

intervals

Results

624.0ms	8000×	body	128	valid
34.0ms	550×	body	128	nan

Compiler

Compiled 77 to 81 computations (-5.2% saved)

Details

analyze310.0ms (5.7%)

sample33.0ms (0.6%)

simplify11.0ms (0.2%)

prune5.0ms (0.1%)

localize11.0ms (0.2%)

rewrite134.0ms (2.5%)

series392.0ms (7.3%)

simplify148.0ms (2.7%)

prune91.0ms (1.7%)

localize10.0ms (0.2%)

rewrite71.0ms (1.3%)

series222.0ms (4.1%)

simplify184.0ms (3.4%)

prune36.0ms (0.7%)

localize16.0ms (0.3%)

rewrite315.0ms (5.8%)

series912.0ms (16.9%)

simplify207.0ms (3.8%)

prune152.0ms (2.8%)

localize10.0ms (0.2%)

rewrite37.0ms (0.7%)

series219.0ms (4.1%)

simplify73.0ms (1.4%)

prune20.0ms (0.4%)

regimes724.0ms (13.4%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end2.0ms (0%)

sample1.0s (19.3%)

Profiling