Details

analyze496.0ms (5.5%)

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)

sample55.0ms (0.6%)

Algorithm

1×

intervals

Results

38.0ms	256×	body	128	valid
2.0ms	15×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify18.0ms (0.2%)

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)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite61.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

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×	`div-sub_binary64_5880` `pow1_binary64_5936` `add-log-exp_binary64_5914`
4×	`associate-+r-_binary64_5809`
3×	`associate-/r_binary64_5819` `acos-asin_binary64_6056` `distribute-frac-neg_binary64_5838` `associate-r_binary64_5815` `associate-l_binary64_5816` `associate-/l_binary64_5820` `acos-neg_binary64_6058`
2×	`cos-diff_binary64_6012`
1×	`cbrt-undiv_binary64_5909` `flip-+_binary64_5849` `flip3-+_binary64_5878` `pow-prod-down_binary64_5946` `div-inv_binary64_5872` `cbrt-unprod_binary64_5908` `cos-sum_binary64_6009` `frac-2neg_binary64_5886` `div-exp_binary64_5926` `unswap-sqr_binary64_5843` `sum-log_binary64_5966` `+-commutative_binary64_5805` `prod-exp_binary64_5924` `*-commutative_binary64_5806` `clear-num_binary64_5874`

Counts

4 → 70

Calls

4 calls:

15.0ms	(*.f64 PI.f64 2/3)
15.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
14.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
7.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series493.0ms (5.5%)

Counts

4 → 18

Calls

4 calls:

267.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
134.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
92.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

Compiler

Compiled 540 to 540 computations (0% saved)

simplify186.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	5183	1544

prune187.0ms (2.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	3	89

Error

0.9b

Counts

89 → 3

Compiler

Compiled 1763 to 1047 computations (40.6% saved)

localize21.0ms (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)

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

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-/r_binary64_5819` `associate-/l_binary64_5820`
2×	`div-sub_binary64_5880` `acos-asin_binary64_6056` `pow1_binary64_5936` `add-log-exp_binary64_5914`
1×	`cbrt-undiv_binary64_5909` `div-inv_binary64_5872` `cos-diff_binary64_6012` `frac-2neg_binary64_5886` `div-exp_binary64_5926` `clear-num_binary64_5874`

Counts

2 → 36

Calls

2 calls:

7.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
5.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))

series287.0ms (3.2%)

Counts

2 → 12

Calls

2 calls:

200.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
87.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 288 to 288 computations (0% saved)

simplify269.0ms (3%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (244.0ms)

Iter	Nodes	Cost
0	4749	701
1	4749	701

prune109.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Error

Counts

51 → 3

Compiler

Compiled 858 to 569 computations (33.7% saved)

localize30.0ms (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)))

rewrite82.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_5897`
51×	`times-frac_binary64_5881`
50×	`add-exp-log_binary64_5913`
36×	`*-un-lft-identity_binary64_5875`
33×	`add-cube-cbrt_binary64_5910`
24×	`cbrt-prod_binary64_5906`
22×	`associate-r_binary64_5815`
20×	`prod-exp_binary64_5924`
18×	`add-cbrt-cube_binary64_5911`
16×	`div-exp_binary64_5926`
9×	`unswap-sqr_binary64_5843`
8×	`cbrt-undiv_binary64_5909` `cbrt-unprod_binary64_5908`
7×	`associate-l_binary64_5816`
6×	`associate-/r*_binary64_5819`
5×	`pow1_binary64_5936`
4×	`1-exp_binary64_5919` `rec-exp_binary64_5925`
3×	`div-inv_binary64_5872` `associate-/l*_binary64_5820` `add-log-exp_binary64_5914`
1×	`div-sub_binary64_5880` `pow-prod-down_binary64_5946` `acos-asin_binary64_6056` `associate-l/_binary64_5818` `frac-2neg_binary64_5886` `associate-r/_binary64_5817` `frac-times_binary64_5885` `*-commutative_binary64_5806` `clear-num_binary64_5874`

Counts

3 → 117

Calls

3 calls:

39.0ms

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

13.0ms

(/.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))))

series876.0ms (9.8%)

Counts

3 → 18

Calls

3 calls:

398.0ms

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

314.0ms

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

164.0ms

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

Compiler

Compiled 612 to 612 computations (0% saved)

simplify195.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	5016	2590

prune316.0ms (3.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	135	3	138

Error

Counts

138 → 3

Compiler

Compiled 3269 to 2402 computations (26.5% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.9b	(sqrt.f64 (acos.f64 (/.f64 g h)))
0.9b	(/.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.9b	(.f64 (/.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (cbrt.f64 3)))
1.0b	(/.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (cbrt.f64 3))

rewrite130.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`add-sqr-sqrt_binary64_5897`
106×	`times-frac_binary64_5881`
65×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
62×	`sqrt-prod_binary64_5891`
45×	`cbrt-prod_binary64_5906`
40×	`associate-r_binary64_5815`
32×	`add-exp-log_binary64_5913`
22×	`add-cbrt-cube_binary64_5911`
15×	`unswap-sqr_binary64_5843`
12×	`associate-/l*_binary64_5820`
10×	`cbrt-undiv_binary64_5909` `associate-l_binary64_5816` `div-exp_binary64_5926`
9×	`cbrt-unprod_binary64_5908` `prod-exp_binary64_5924`
7×	`associate-/r*_binary64_5819` `pow1_binary64_5936`
4×	`div-inv_binary64_5872` `add-log-exp_binary64_5914`
2×	`frac-2neg_binary64_5886` `clear-num_binary64_5874`
1×	`pow-prod-down_binary64_5946` `associate-l/_binary64_5818` `pow1/2_binary64_5955` `associate-r/_binary64_5817` `frac-times_binary64_5885` `sqrt-pow1_binary64_5893` `*-commutative_binary64_5806` `rem-sqrt-square_binary64_5888`

Counts

4 → 189

Calls

4 calls:

47.0ms	(.f64 (/.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (cbrt.f64 3)))
15.0ms	(/.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
11.0ms	(/.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (cbrt.f64 3))
3.0ms	(sqrt.f64 (acos.f64 (/.f64 g h)))

series955.0ms (10.7%)

Counts

4 → 24

Calls

4 calls:

332.0ms	(/.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
285.0ms	(.f64 (/.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (cbrt.f64 3)))
243.0ms	(/.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (cbrt.f64 3))
94.0ms	(sqrt.f64 (acos.f64 (/.f64 g h)))

Compiler

Compiled 1152 to 972 computations (15.6% saved)

simplify227.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4889	4928
1	4889	4928

prune619.0ms (6.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	213	3	216

Error

Counts

216 → 3

Compiler

Compiled 6550 to 3923 computations (40.1% saved)

regimes771.0ms (8.6%)

Accuracy

Total 0.0b remaining (100%)

Threshold costs 0.0b (100%)

Compiler

Compiled 4528 to 3855 computations (14.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	41	31
1	41	31

end0.0ms (0%)

sample2.5s (27.7%)

Algorithm

1×

intervals

Results

1.2s	8000×	body	128	valid
81.0ms	591×	body	128	nan

Compiler

Compiled 444 to 385 computations (13.3% saved)

Details

analyze496.0ms (5.5%)

sample55.0ms (0.6%)

simplify18.0ms (0.2%)

prune8.0ms (0.1%)

localize24.0ms (0.3%)

rewrite61.0ms (0.7%)

series493.0ms (5.5%)

simplify186.0ms (2.1%)

prune187.0ms (2.1%)

localize21.0ms (0.2%)

rewrite18.0ms (0.2%)

series287.0ms (3.2%)

simplify269.0ms (3%)

prune109.0ms (1.2%)

localize30.0ms (0.3%)

rewrite82.0ms (0.9%)

series876.0ms (9.8%)

simplify195.0ms (2.2%)

prune316.0ms (3.5%)

localize32.0ms (0.4%)

rewrite130.0ms (1.5%)

series955.0ms (10.7%)

simplify227.0ms (2.5%)

prune619.0ms (6.9%)

regimes771.0ms (8.6%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.5s (27.7%)

Profiling