Details

analyze776.0ms (15.3%)

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)

sample63.0ms (1.2%)

Algorithm

1×

intervals

Results

35.0ms	124×	body	2048	valid
14.0ms	69×	body	1024	valid
4.0ms	29×	body	512	valid
2.0ms	16×	body	256	valid
1.0ms	18×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 29 to 22 computations (24.1% saved)

simplify162.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4955	21
1	4955	21

prune5.0ms (0.1%)

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

Error

0.5b

Counts

2 → 1

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize7.0ms (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))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite20.0ms (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:

8.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
6.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series78.0ms (1.5%)

Counts

3 → 12

Calls

3 calls:

30.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
26.0ms	(.f64 5 (.f64 v v))
22.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 254 to 236 computations (7.1% saved)

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5004	1791

prune97.0ms (1.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	4	84

Error

0.5b

Counts

84 → 4

Compiler

Compiled 1817 to 1172 computations (35.5% 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	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
0.2b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_1844`
10×	`add-exp-log_binary64_1821`
9×	`add-cbrt-cube_binary64_1819` `add-sqr-sqrt_binary64_1805`
8×	`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×	`log-pow_binary64_1872`
1×	`rem-exp-log_binary64_1823` `acos-asin_binary64_1964` `-commutative_binary64_1714` `unswap-sqr_binary64_1751` `rem-log-exp_binary64_1824` `associate-r*_binary64_1723`

Counts

4 → 54

Calls

4 calls:

6.0ms	(.f64 5 (.f64 v v))
2.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
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)))

series333.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

160.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
124.0ms	(log.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
26.0ms	(.f64 5 (.f64 v v))
22.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 432 to 402 computations (6.9% saved)

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5809	1302

prune81.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Error

0.5b

Counts

70 → 5

Compiler

Compiled 1548 to 1027 computations (33.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))
0.5b	(acos.f64 (+.f64 -1 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `pow1_binary64_1844`
3×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `associate-l_binary64_1724` `*-un-lft-identity_binary64_1783` `pow-prod-down_binary64_1854`
2×	`associate-r/_binary64_1725` `associate-l/_binary64_1726` `add-log-exp_binary64_1822`
1×	`flip-+_binary64_1757` `acos-asin_binary64_1964` `-commutative_binary64_1714` `flip3-+_binary64_1786` `associate-r*_binary64_1723`

Counts

2 → 28

Calls

2 calls:

10.0ms	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))
1.0ms	(acos.f64 (+.f64 -1 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))))

series101.0ms (2%)

Counts

2 → 9

Calls

2 calls:

80.0ms	(.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))
21.0ms	(acos.f64 (+.f64 -1 (.f64 v (.f64 (+.f64 v (pow.f64 v 3)) 4))))

Compiler

Compiled 208 to 196 computations (5.8% saved)

simplify67.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4967	597
1	4967	597

prune42.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	36	6	42

Error

0.5b

Counts

42 → 6

Compiler

Compiled 771 to 586 computations (24% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))
1.0b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
1.0b	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_1805`
24×	`sqrt-prod_binary64_1799`
21×	`pow1_binary64_1844`
14×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
10×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801`
8×	`swap-sqr_binary64_1750`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `associate-l_binary64_1724` `associate-r_binary64_1723`
5×	`pow-prod-up_binary64_1853`
4×	`unswap-sqr_binary64_1751` `rem-sqrt-square_binary64_1796` `add-log-exp_binary64_1822`
3×	`pow-sqr_binary64_1756` `pow-prod-down_binary64_1854`
1×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `sqrt-unprod_binary64_1803` `pow-plus_binary64_1846` `acos-asin_binary64_1964` `*-commutative_binary64_1714` `rem-square-sqrt_binary64_1795` `sqr-abs_binary64_1798` `pow2_binary64_1864`

Counts

4 → 84

Calls

4 calls:

9.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
2.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
2.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
2.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

series141.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
43.0ms	(sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))))
26.0ms	(.f64 (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (sqrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))))
25.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 706 to 592 computations (16.1% saved)

simplify69.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5175	2271

prune133.0ms (2.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	95	7	102

Error

0.5b

Counts

102 → 7

Compiler

Compiled 2928 to 1856 computations (36.6% saved)

regimes198.0ms (3.9%)

Accuracy

Total 0.0b remaining (3.6%)

Threshold costs 0.0b (3.6%)

Compiler

Compiled 2951 to 2140 computations (27.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	83	28
1	83	28

end0.0ms (0%)

sample2.5s (49%)

Algorithm

1×

intervals

Results

1.1s	3990×	body	2048	valid
403.0ms	2014×	body	1024	valid
139.0ms	997×	body	512	valid
51.0ms	481×	body	256	valid
30.0ms	518×	body	128	valid
0.0ms	5×	body	128	nan

Compiler

Compiled 634 to 464 computations (26.8% saved)

Details

analyze776.0ms (15.3%)

sample63.0ms (1.2%)

simplify162.0ms (3.2%)

prune5.0ms (0.1%)

localize7.0ms (0.1%)

rewrite20.0ms (0.4%)

series78.0ms (1.5%)

simplify62.0ms (1.2%)

prune97.0ms (1.9%)

localize11.0ms (0.2%)

rewrite14.0ms (0.3%)

series333.0ms (6.6%)

simplify60.0ms (1.2%)

prune81.0ms (1.6%)

localize7.0ms (0.1%)

rewrite13.0ms (0.3%)

series101.0ms (2%)

simplify67.0ms (1.3%)

prune42.0ms (0.8%)

localize13.0ms (0.2%)

rewrite24.0ms (0.5%)

series141.0ms (2.8%)

simplify69.0ms (1.4%)

prune133.0ms (2.6%)

regimes198.0ms (3.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.5s (49%)

Profiling