Details

analyze2.8s (15.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 34 to 27 computations (20.6% saved)

sample69.0ms (0.4%)

Algorithm

1×

intervals

Results

35.0ms	256×	body	128	valid
6.0ms	10×	body	128	invalid

Compiler

Compiled 67 to 61 computations (9% saved)

simplify439.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (205.0ms)

Iter	Nodes	Cost
0	4952	49
1	4952	49

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 27.4b

Counts

2 → 1

Compiler

Compiled 66 to 52 computations (21.2% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)
26.7b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite91.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_1805`
18×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
12×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
10×	`pow1_binary64_1844`
9×	`associate-l_binary64_1724` `times-frac_binary64_1789` `associate-r_binary64_1723`
6×	`associate-*l/_binary64_1726`
5×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
4×	`add-log-exp_binary64_1822`
3×	`associate-/l_binary64_1728` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `associate-/r_binary64_1727` `*-commutative_binary64_1714` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729`
1×	`div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `clear-num_binary64_1782`

Counts

4 → 91

Calls

4 calls:

32.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
18.0ms	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)
13.0ms	(.f64 (+.f64 (.f64 x y) z) y)
12.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)

series1.2s (6.7%)

Counts

4 → 12

Calls

4 calls:

946.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
140.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
82.0ms	(.f64 (+.f64 (.f64 x y) z) y)
71.0ms	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)

simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5166	3231

prune296.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	91	12	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	12	104

Merged error: 26.5b

Counts

104 → 12

Compiler

Compiled 5082 to 1699 computations (66.6% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

18.5b	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)))
18.5b	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)))
18.5b	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)))
26.7b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)))) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite95.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
9×	`times-frac_binary64_1789`
6×	`add-cbrt-cube_binary64_1819` `associate-*r/_binary64_1725` `add-exp-log_binary64_1821` `cbrt-div_binary64_1815`
5×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
4×	`add-log-exp_binary64_1822` `pow1_binary64_1844`
3×	`associate-/l_binary64_1728` `cbrt-prod_binary64_1814` `associate-/r_binary64_1727` `pow1/3_binary64_1865`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729`
1×	`div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `clear-num_binary64_1782`

Counts

4 → 64

Calls

4 calls:

46.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)))) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
15.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)))
10.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)))
10.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)))

series2.3s (12.2%)

Counts

4 → 12

Calls

4 calls:

1.0s	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)))) (cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)))) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
438.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)))
398.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)))
380.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)))

simplify111.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4981	3155
1	4981	3155

prune299.0ms (1.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	75	13	88

Merged error: 26.5b

Counts

88 → 13

Compiler

Compiled 5440 to 1989 computations (63.4% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

15.2b	(cbrt.f64 (+.f64 (*.f64 (+.f64 y a) y) b))
15.2b	(cbrt.f64 (+.f64 (*.f64 (+.f64 y a) y) b))
15.2b	(cbrt.f64 (+.f64 (*.f64 y (+.f64 y a)) b))
26.7b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 y a) y) b)) (cbrt.f64 (+.f64 (.f64 (+.f64 y a) y) b))) (.f64 y (cbrt.f64 (+.f64 (*.f64 y (+.f64 y a)) b)))) c) y) i))

rewrite115.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
9×	`cbrt-prod_binary64_1814` `times-frac_binary64_1789`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `cbrt-div_binary64_1815`
5×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
4×	`add-log-exp_binary64_1822` `pow1_binary64_1844`
3×	`associate-/l_binary64_1728` `associate-/r_binary64_1727` `pow1/3_binary64_1865`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729`
1×	`div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `clear-num_binary64_1782`

Counts

4 → 70

Calls

4 calls:

65.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 y a) y) b)) (cbrt.f64 (+.f64 (.f64 (+.f64 y a) y) b))) (.f64 y (cbrt.f64 (+.f64 (*.f64 y (+.f64 y a)) b)))) c) y) i))
8.0ms	(cbrt.f64 (+.f64 (*.f64 (+.f64 y a) y) b))
7.0ms	(cbrt.f64 (+.f64 (*.f64 (+.f64 y a) y) b))
7.0ms	(cbrt.f64 (+.f64 (*.f64 y (+.f64 y a)) b))

series1.9s (10%)

Counts

4 → 12

Calls

4 calls:

1.1s	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 y a) y) b)) (cbrt.f64 (+.f64 (.f64 (+.f64 y a) y) b))) (.f64 y (cbrt.f64 (+.f64 (*.f64 y (+.f64 y a)) b)))) c) y) i))
287.0ms	(cbrt.f64 (+.f64 (*.f64 (+.f64 y a) y) b))
263.0ms	(cbrt.f64 (+.f64 (*.f64 (+.f64 y a) y) b))
252.0ms	(cbrt.f64 (+.f64 (*.f64 y (+.f64 y a)) b))

simplify108.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5058	3099

prune195.0ms (1.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	81	14	95

Merged error: 26.5b

Counts

95 → 14

Compiler

Compiled 5391 to 1656 computations (69.3% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 (.f64 x y) z))
0.1b	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))
0.5b	(/.f64 1 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))
26.8b	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))

rewrite135.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_1789`
64×	`add-sqr-sqrt_binary64_1805`
60×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
21×	`add-exp-log_binary64_1821`
18×	`associate-/r*_binary64_1727`
15×	`add-cbrt-cube_binary64_1819`
11×	`associate-/r/_binary64_1729`
9×	`pow1_binary64_1844`
8×	`flip-+_binary64_1757` `div-exp_binary64_1834` `flip3-+_binary64_1786`
6×	`associate-/l_binary64_1728` `div-inv_binary64_1780` `associate-l_binary64_1724` `associate-r*_binary64_1723`
4×	`associate-*r/_binary64_1725` `cbrt-undiv_binary64_1817` `add-log-exp_binary64_1822`
2×	`associate-/l/_binary64_1730` `distribute-lft-in_binary64_1732` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `1-exp_binary64_1827` `*-commutative_binary64_1714` `frac-2neg_binary64_1794` `distribute-rgt-in_binary64_1733` `clear-num_binary64_1782` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751` `rec-exp_binary64_1833`
1×	`inv-pow_binary64_1868` `pow-flip_binary64_1857`

Counts

4 → 159

Calls

4 calls:

43.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))
39.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))
12.0ms	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))
8.0ms	(.f64 y (+.f64 (.f64 x y) z))

series2.5s (13.4%)

Counts

4 → 12

Calls

4 calls:

1.4s	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))
950.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))
80.0ms	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))
54.0ms	(.f64 y (+.f64 (.f64 x y) z))

simplify138.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5007	9613

prune424.0ms (2.3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	167	4	171
Fresh	3	8	11
Picked	1	0	1
Done	0	2	2
Total	171	14	185

Merged error: 26.5b

Counts

185 → 14

Compiler

Compiled 9106 to 2877 computations (68.4% saved)

regimes1.7s (9.1%)

Compiler: Compiled 22834 to 14679 computations (35.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	49
1	42	49

end0.0ms (0%)

sample3.4s (18.5%)

Algorithm

1×

intervals

Results

947.0ms	8000×	body	128	valid
27.0ms	228×	body	128	invalid

Compiler

Compiled 2595 to 1672 computations (35.6% saved)

Details

analyze2.8s (15.1%)

sample69.0ms (0.4%)

simplify439.0ms (2.4%)

prune6.0ms (0%)

localize24.0ms (0.1%)

rewrite91.0ms (0.5%)

series1.2s (6.7%)

simplify118.0ms (0.6%)

prune296.0ms (1.6%)

localize33.0ms (0.2%)

rewrite95.0ms (0.5%)

series2.3s (12.2%)

simplify111.0ms (0.6%)

prune299.0ms (1.6%)

localize45.0ms (0.2%)

rewrite115.0ms (0.6%)

series1.9s (10%)

simplify108.0ms (0.6%)

prune195.0ms (1.1%)

localize32.0ms (0.2%)

rewrite135.0ms (0.7%)

series2.5s (13.4%)

simplify138.0ms (0.7%)

prune424.0ms (2.3%)

regimes1.7s (9.1%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.4s (18.5%)

Profiling