Details

analyze449.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	46
1	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)

sample53.0ms (0.5%)

Algorithm

1×

intervals

Results

34.0ms	256×	body	128	valid
2.0ms	16×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	54	23
1	54	23

prune8.0ms (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)

localize22.0ms (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 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)

rewrite195.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_3510`
14×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
9×	`times-frac_binary64_3494`
8×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
6×	`pow1_binary64_3549` `add-log-exp_binary64_3527` `div-sub_binary64_3493`
4×	`associate-+r-_binary64_3422`
3×	`associate-l_binary64_3429` `associate-r_binary64_3428` `distribute-frac-neg_binary64_3451` `acos-neg_binary64_3671` `acos-asin_binary64_3669` `associate-/l_binary64_3433` `associate-/r_binary64_3432`
2×	`cos-diff_binary64_3625`
1×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `unswap-sqr_binary64_3456` `*-commutative_binary64_3419` `cos-sum_binary64_3622` `sum-log_binary64_3579` `flip3-+_binary64_3491` `flip-+_binary64_3462` `+-commutative_binary64_3418` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485`

Counts

4 → 70

Calls

4 calls:

13.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
11.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
8.0ms	(*.f64 PI.f64 2/3)
6.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

Compiler

Compiled 1595 to 940 computations (41.1% saved)

series486.0ms (4.7%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

254.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
120.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
85.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

Compiler

Compiled 810 to 742 computations (8.4% saved)

simplify172.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	5183	1544

prune162.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	2	89

Error

1.0b

Counts

89 → 2

Compiler

Compiled 1691 to 999 computations (40.9% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite103.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
9×	`times-frac_binary64_3494`
4×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
3×	`associate-/l_binary64_3433` `associate-/r_binary64_3432`
2×	`pow1_binary64_3549` `add-log-exp_binary64_3527` `acos-asin_binary64_3669` `div-sub_binary64_3493`
1×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485` `cos-diff_binary64_3625`

Counts

2 → 36

Calls

2 calls:

6.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
4.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))

Compiler

Compiled 727 to 465 computations (36% saved)

series272.0ms (2.6%)

Error

1.0b

Counts

2 → 12

Calls

2 calls:

184.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
73.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 432 to 388 computations (10.2% saved)

simplify258.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (235.0ms)

Iter	Nodes	Cost
0	4749	701
1	4749	701

prune100.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	48	2	50

Error

Counts

50 → 2

Compiler

Compiled 848 to 564 computations (33.5% saved)

localize28.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

0.0b

(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

0.0b

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

rewrite416.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

54×	`add-sqr-sqrt_binary64_3510`
51×	`times-frac_binary64_3494`
50×	`add-exp-log_binary64_3526`
36×	`*-un-lft-identity_binary64_3488`
33×	`add-cube-cbrt_binary64_3523`
24×	`cbrt-prod_binary64_3519`
22×	`associate-r_binary64_3428`
20×	`prod-exp_binary64_3537`
18×	`add-cbrt-cube_binary64_3524`
16×	`div-exp_binary64_3539`
9×	`unswap-sqr_binary64_3456`
8×	`cbrt-unprod_binary64_3521` `cbrt-undiv_binary64_3522`
7×	`associate-l_binary64_3429`
6×	`associate-/r*_binary64_3432`
5×	`pow1_binary64_3549`
4×	`1-exp_binary64_3532` `rec-exp_binary64_3538`
3×	`add-log-exp_binary64_3527` `div-inv_binary64_3485` `associate-/l*_binary64_3433`
1×	`pow-prod-down_binary64_3559` `frac-times_binary64_3498` `associate-l/_binary64_3431` `associate-r/_binary64_3430` `*-commutative_binary64_3419` `frac-2neg_binary64_3499` `acos-asin_binary64_3669` `div-sub_binary64_3493` `clear-num_binary64_3487`

Counts

3 → 117

Calls

3 calls:

33.0ms

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

8.0ms

(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

4.0ms

(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

Compiler

Compiled 3675 to 2792 computations (24% saved)

series853.0ms (8.2%)

Error

Counts

3 → 18

Calls

3 calls:

386.0ms

(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

274.0ms

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

159.0ms

(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

Compiler

Compiled 918 to 850 computations (7.4% saved)

simplify190.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	5016	2590

prune307.0ms (3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	135	2	137

Error

Counts

137 → 2

Compiler

Compiled 3259 to 2397 computations (26.4% saved)

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite781.0ms (7.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

276×	`times-frac_binary64_3494`
155×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
144×	`sqrt-prod_binary64_3504`
25×	`associate-/l*_binary64_3433`
12×	`associate-/r*_binary64_3432`
10×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
9×	`div-inv_binary64_3485`
5×	`div-sub_binary64_3493`
4×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522`
3×	`pow1_binary64_3549` `add-log-exp_binary64_3527` `acos-asin_binary64_3669`
2×	`frac-2neg_binary64_3499` `clear-num_binary64_3487`
1×	`associate-/l/_binary64_3435` `cos-diff_binary64_3625`

Counts

3 → 224

Calls

3 calls:

21.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
20.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
8.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

Compiler

Compiled 6762 to 4814 computations (28.8% saved)

series813.0ms (7.8%)

Error

Counts

3 → 18

Calls

3 calls:

400.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
218.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
159.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

Compiler

Compiled 828 to 760 computations (8.2% saved)

simplify257.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	4947	6209
1	4947	6209

prune641.0ms (6.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	242	2	244

Error

Counts

244 → 2

Compiler

Compiled 5957 to 3990 computations (33% saved)

regimes914.0ms (8.8%)

Accuracy

Total 0.0b remaining (98.7%)

Threshold costs 0.0b (98.7%)

Compiler

Compiled 5160 to 4548 computations (11.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	41	31
1	41	31

end0.0ms (0%)

sample2.8s (27.2%)

Algorithm

1×

intervals

Results

1.2s	8000×	body	128	valid
69.0ms	537×	body	128	nan

Compiler

Compiled 538 to 472 computations (12.3% saved)

Details

analyze449.0ms (4.3%)

sample53.0ms (0.5%)

simplify15.0ms (0.1%)

prune8.0ms (0.1%)

localize22.0ms (0.2%)

rewrite195.0ms (1.9%)

series486.0ms (4.7%)

simplify172.0ms (1.7%)

prune162.0ms (1.6%)

localize19.0ms (0.2%)

rewrite103.0ms (1%)

series272.0ms (2.6%)

simplify258.0ms (2.5%)

prune100.0ms (1%)

localize28.0ms (0.3%)

rewrite416.0ms (4%)

series853.0ms (8.2%)

simplify190.0ms (1.8%)

prune307.0ms (3%)

localize23.0ms (0.2%)

rewrite781.0ms (7.5%)

series813.0ms (7.8%)

simplify257.0ms (2.5%)

prune641.0ms (6.2%)

regimes914.0ms (8.8%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.8s (27.2%)

Profiling