Details

analyze805.0ms (12%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample67.0ms (1%)

Algorithm

1×

intervals

Results

36.0ms	114×	body	2048	valid
15.0ms	69×	body	1024	valid
5.0ms	30×	body	512	valid
2.0ms	21×	body	256	valid
1.0ms	22×	body	128	valid

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify234.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4904	21
1	4904	21

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.9b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b	(.f64 5 (.f64 v v))
0.8b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1805`
19×	`*-un-lft-identity_binary64_1783`
18×	`times-frac_binary64_1789`
15×	`add-cube-cbrt_binary64_1818`
10×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
8×	`difference-of-squares_binary64_1752` `pow1_binary64_1844`
6×	`associate-/r*_binary64_1727`
4×	`difference-of-sqr-1_binary64_1753`
3×	`associate-/l_binary64_1728` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `associate-l*_binary64_1724` `pow-prod-down_binary64_1854` `add-log-exp_binary64_1822`
2×	`flip3--_binary64_1787` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `flip--_binary64_1758`
1×	`div-sub_binary64_1788` `div-inv_binary64_1780` `acos-asin_binary64_1964` `cbrt-undiv_binary64_1817` `-commutative_binary64_1714` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `clear-num_binary64_1782` `unswap-sqr_binary64_1751` `associate-r*_binary64_1723`

Counts

3 → 71

Calls

3 calls:

10.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
7.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series122.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

62.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
36.0ms	(.f64 5 (.f64 v v))
24.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4940	1788
1	4940	1788

prune93.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	4	81

Merged error: 0.8b

Counts

81 → 4

Compiler

Compiled 1811 to 1166 computations (35.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b	(.f64 5 (.f64 v v))
0.8b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_1805`
21×	`*-un-lft-identity_binary64_1783`
18×	`times-frac_binary64_1789`
17×	`add-cube-cbrt_binary64_1818`
12×	`add-exp-log_binary64_1821`
11×	`add-cbrt-cube_binary64_1819`
10×	`pow1_binary64_1844`
8×	`difference-of-squares_binary64_1752`
6×	`associate-/r*_binary64_1727`
4×	`difference-of-sqr-1_binary64_1753` `add-log-exp_binary64_1822`
3×	`log-prod_binary64_1869` `associate-/l_binary64_1728` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `associate-l*_binary64_1724` `pow-prod-down_binary64_1854`
2×	`flip3--_binary64_1787` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `flip--_binary64_1758`
1×	`div-sub_binary64_1788` `log-pow_binary64_1872` `div-inv_binary64_1780` `acos-asin_binary64_1964` `cbrt-undiv_binary64_1817` `-commutative_binary64_1714` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `clear-num_binary64_1782` `unswap-sqr_binary64_1751` `rem-log-exp_binary64_1824` `associate-r*_binary64_1723`

Counts

4 → 83

Calls

4 calls:

10.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
7.0ms	(.f64 5 (.f64 v v))
1.0ms	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series348.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

231.0ms	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
62.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
32.0ms	(.f64 5 (.f64 v v))
23.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4923	2208
1	4923	2208

prune123.0ms (1.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	94	5	99

Merged error: 0.8b

Counts

99 → 5

Compiler

Compiled 2389 to 1602 computations (32.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
0.0b	(exp.f64 (log.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))))
0.0b	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))
0.8b	(acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_1844`
10×	`add-exp-log_binary64_1821`
9×	`add-cbrt-cube_binary64_1819`
8×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
6×	`log-prod_binary64_1869`
4×	`exp-prod_binary64_1835` `add-log-exp_binary64_1822`
3×	`exp-sum_binary64_1829` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `associate-l_binary64_1724` `pow-prod-down_binary64_1854`
2×	`associate-r/_binary64_1725` `log-pow_binary64_1872` `associate-l/_binary64_1726`
1×	`rem-exp-log_binary64_1823` `flip-+_binary64_1757` `acos-asin_binary64_1964` `-commutative_binary64_1714` `flip3-+_binary64_1786` `rem-log-exp_binary64_1824` `associate-r*_binary64_1723`

Counts

4 → 55

Calls

4 calls:

11.0ms	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))
2.0ms	(exp.f64 (log.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))))
2.0ms	(acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))
1.0ms	(log.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))

series669.0ms (10%)

Counts

4 → 12

Calls

4 calls:

280.0ms	(exp.f64 (log.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))))
225.0ms	(log.f64 (acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
145.0ms	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))
19.0ms	(acos.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))

simplify74.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4993	1293
1	4993	1293

prune85.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	67	5	72

Merged error: 0.8b

Counts

72 → 5

Compiler

Compiled 1440 to 1143 computations (20.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (log.f64 (-.f64 (/.f64 PI.f64 2) (asin.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))))
0.0b	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))
0.0b	(-.f64 (/.f64 PI.f64 2) (asin.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
0.9b	(asin.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))

rewrite41.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_1805`
12×	`*-un-lft-identity_binary64_1783`
10×	`pow1_binary64_1844`
9×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
8×	`add-cube-cbrt_binary64_1818`
6×	`log-prod_binary64_1869` `exp-sum_binary64_1829` `add-log-exp_binary64_1822`
4×	`difference-of-squares_binary64_1752` `exp-prod_binary64_1835`
3×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `cancel-sign-sub-inv_binary64_1749` `associate-l_binary64_1724` `pow-prod-down_binary64_1854`
2×	`flip3--_binary64_1787` `exp-diff_binary64_1831` `associate-r/_binary64_1725` `distribute-lft-out--_binary64_1735` `asin-acos_binary64_1963` `associate-l/_binary64_1726` `times-frac_binary64_1789` `flip--_binary64_1758` `log-div_binary64_1870`
1×	`rem-exp-log_binary64_1823` `log-pow_binary64_1872` `flip-+_binary64_1757` `diff-log_binary64_1875` `associate--r-_binary64_1722` `-commutative_binary64_1714` `flip3-+_binary64_1786` `sub-neg_binary64_1776` `associate-r*_binary64_1723`

Counts

4 → 66

Calls

4 calls:

14.0ms	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))
9.0ms	(-.f64 (/.f64 PI.f64 2) (asin.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
9.0ms	(exp.f64 (log.f64 (-.f64 (/.f64 PI.f64 2) (asin.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))))
2.0ms	(asin.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))

series593.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

379.0ms	(exp.f64 (log.f64 (-.f64 (/.f64 PI.f64 2) (asin.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))))
145.0ms	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))
49.0ms	(-.f64 (/.f64 PI.f64 2) (asin.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1)))
20.0ms	(asin.f64 (+.f64 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4)) -1))

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5170	2033

prune102.0ms (1.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	78	5	83

Merged error: 0.8b

Counts

83 → 5

Compiler

Compiled 1953 to 1528 computations (21.8% saved)

regimes228.0ms (3.4%)

Compiler: Compiled 3294 to 2500 computations (24.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	29
1	37	29

end0.0ms (0%)

sample2.8s (41.5%)

Algorithm

1×

intervals

Results

1.3s	3987×	body	2048	valid
429.0ms	1947×	body	1024	valid
159.0ms	1007×	body	512	valid
59.0ms	544×	body	256	valid
33.0ms	515×	body	128	valid
0.0ms	7×	body	128	nan

Compiler

Compiled 683 to 529 computations (22.5% saved)

Details

analyze805.0ms (12%)

sample67.0ms (1%)

simplify234.0ms (3.5%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite24.0ms (0.4%)

series122.0ms (1.8%)

simplify73.0ms (1.1%)

prune93.0ms (1.4%)

localize11.0ms (0.2%)

rewrite27.0ms (0.4%)

series348.0ms (5.2%)

simplify78.0ms (1.2%)

prune123.0ms (1.8%)

localize11.0ms (0.2%)

rewrite21.0ms (0.3%)

series669.0ms (10%)

simplify74.0ms (1.1%)

prune85.0ms (1.3%)

localize15.0ms (0.2%)

rewrite41.0ms (0.6%)

series593.0ms (8.9%)

simplify60.0ms (0.9%)

prune102.0ms (1.5%)

regimes228.0ms (3.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.8s (41.5%)

Profiling