Details

analyze397.0ms (10.6%)

Algorithm

1×

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample28.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify119.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	52	10
1	52	10

prune2.0ms (0.1%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (+.f64 z x))
0.0b	(+.f64 x (*.f64 y (+.f64 z x)))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
4×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `add-log-exp_binary64_1822` `associate-r_binary64_1723` `pow1_binary64_1844`
3×	`associate-l_binary64_1724`
2×	`associate-+r+_binary64_1715` `associate-*r/_binary64_1725` `distribute-lft-in_binary64_1732` `flip-+_binary64_1757` `distribute-rgt-in_binary64_1733` `flip3-+_binary64_1786`
1×	`+-commutative_binary64_1713` `distribute-lft-out_binary64_1734` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `*-commutative_binary64_1714` `sum-log_binary64_1874` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`

Counts

2 → 36

Calls

2 calls:

6.0ms	(*.f64 y (+.f64 z x))
4.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

series71.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

36.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
35.0ms	(*.f64 y (+.f64 z x))

simplify96.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4985	467
1	4985	467

prune52.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Error

Counts

43 → 4

Compiler

Compiled 542 to 158 computations (70.8% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 y (+.f64 x z))) (cbrt.f64 (*.f64 y (+.f64 x z))))
2.2b	(cbrt.f64 (*.f64 y (+.f64 x z)))
2.2b	(cbrt.f64 (*.f64 y (+.f64 x z)))
2.2b	(cbrt.f64 (*.f64 y (+.f64 x z)))

rewrite54.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_1725`
18×	`cbrt-div_binary64_1815`
11×	`pow1_binary64_1844`
10×	`add-sqr-sqrt_binary64_1805`
9×	`flip-+_binary64_1757` `flip3-+_binary64_1786` `pow1/3_binary64_1865`
8×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
7×	`cbrt-prod_binary64_1814`
6×	`add-exp-log_binary64_1821`
4×	`add-cbrt-cube_binary64_1819` `swap-sqr_binary64_1750` `associate-l_binary64_1724` `frac-times_binary64_1793` `add-log-exp_binary64_1822` `associate-r_binary64_1723`
2×	`pow-prod-up_binary64_1853` `associate-*l/_binary64_1726` `pow-sqr_binary64_1756` `pow-prod-down_binary64_1854`
1×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-plus_binary64_1846` `*-commutative_binary64_1714` `unswap-sqr_binary64_1751` `pow2_binary64_1864`

Counts

4 → 72

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 x z))) (cbrt.f64 (*.f64 y (+.f64 x z))))
9.0ms	(cbrt.f64 (*.f64 y (+.f64 x z)))
8.0ms	(cbrt.f64 (*.f64 y (+.f64 x z)))
8.0ms	(cbrt.f64 (*.f64 y (+.f64 x z)))

series757.0ms (20.2%)

Counts

4 → 12

Calls

4 calls:

249.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 x z))) (cbrt.f64 (*.f64 y (+.f64 x z))))
182.0ms	(cbrt.f64 (*.f64 y (+.f64 x z)))
165.0ms	(cbrt.f64 (*.f64 y (+.f64 x z)))
161.0ms	(cbrt.f64 (*.f64 y (+.f64 x z)))

simplify95.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4914	1167
1	4914	1167

prune107.0ms (2.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Error

Counts

88 → 4

Compiler

Compiled 2142 to 456 computations (78.7% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (+.f64 x z))
0.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
0.3b	(pow.f64 (*.f64 y (+.f64 x z)) 3)
35.7b	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))

rewrite45.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_1783`
10×	`add-sqr-sqrt_binary64_1805`
9×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `pow1_binary64_1844`
8×	`add-cube-cbrt_binary64_1818` `cbrt-prod_binary64_1814`
6×	`associate-*r/_binary64_1725` `add-log-exp_binary64_1822`
4×	`flip-+_binary64_1757` `flip3-+_binary64_1786` `cube-div_binary64_1812` `associate-r_binary64_1723`
3×	`pow-unpow_binary64_1860` `associate-l_binary64_1724`
2×	`sqr-pow_binary64_1755` `rem-cube-cbrt_binary64_1806` `cube-mult_binary64_1813` `distribute-lft-out_binary64_1734` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `unpow3_binary64_1849` `cbrt-div_binary64_1815` `unpow-prod-down_binary64_1862` `pow-pow_binary64_1855` `pow-prod-down_binary64_1854` `pow-exp_binary64_1851` `cube-prod_binary64_1811`
1×	`+-commutative_binary64_1713` `rem-cbrt-cube_binary64_1807` `distribute-lft-in_binary64_1732` `*-commutative_binary64_1714` `distribute-rgt-in_binary64_1733` `sum-log_binary64_1874` `pow1/3_binary64_1865` `unswap-sqr_binary64_1751` `pow-to-exp_binary64_1852`

Counts

4 → 78

Calls

4 calls:

11.0ms	(pow.f64 (*.f64 y (+.f64 x z)) 3)
11.0ms	(*.f64 y (+.f64 x z))
9.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
5.0ms	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))

series176.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

64.0ms	(pow.f64 (*.f64 y (+.f64 x z)) 3)
44.0ms	(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3))
36.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (+.f64 x z)) 3)))
32.0ms	(*.f64 y (+.f64 x z))

simplify64.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5252	1063

prune76.0ms (2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	90	4	94

Error

Counts

94 → 4

Compiler

Compiled 1269 to 487 computations (61.6% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.8b	(-.f64 (.f64 x x) (.f64 z x))
2.6b	(+.f64 (pow.f64 x 3) (pow.f64 z 3))
7.4b	(*.f64 y (+.f64 (pow.f64 x 3) (pow.f64 z 3)))
34.7b	(/.f64 (.f64 y (+.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (.f64 z z) (-.f64 (.f64 x x) (.f64 z x))))

rewrite59.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_1783`
11×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
10×	`add-sqr-sqrt_binary64_1805` `distribute-lft-out_binary64_1734`
9×	`associate-r_binary64_1723`
8×	`add-cube-cbrt_binary64_1818` `unpow-prod-down_binary64_1862` `add-log-exp_binary64_1822` `cube-prod_binary64_1811`
6×	`pow1_binary64_1844`
4×	`associate-*r/_binary64_1725` `flip-+_binary64_1757` `flip3-+_binary64_1786`
3×	`associate-/r_binary64_1727` `associate-l*_binary64_1724` `times-frac_binary64_1789`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `sum-cubes_binary64_1784` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
1×	`flip3--_binary64_1787` `+-commutative_binary64_1713` `associate-/l_binary64_1728` `distribute-lft-in_binary64_1732` `div-inv_binary64_1780` `cancel-sign-sub-inv_binary64_1749` `diff-log_binary64_1875` `-commutative_binary64_1714` `frac-2neg_binary64_1794` `distribute-rgt-in_binary64_1733` `sum-log_binary64_1874` `clear-num_binary64_1782` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751` `flip--_binary64_1758` `distribute-rgt-out--_binary64_1737` `sub-neg_binary64_1776`

Counts

4 → 83

Calls

4 calls:

20.0ms	(/.f64 (.f64 y (+.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (.f64 z z) (-.f64 (.f64 x x) (.f64 z x))))
17.0ms	(*.f64 y (+.f64 (pow.f64 x 3) (pow.f64 z 3)))
11.0ms	(+.f64 (pow.f64 x 3) (pow.f64 z 3))
4.0ms	(-.f64 (.f64 x x) (.f64 z x))

series370.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

186.0ms	(/.f64 (.f64 y (+.f64 (pow.f64 x 3) (pow.f64 z 3))) (+.f64 (.f64 z z) (-.f64 (.f64 x x) (.f64 z x))))
109.0ms	(*.f64 y (+.f64 (pow.f64 x 3) (pow.f64 z 3)))
40.0ms	(-.f64 (.f64 x x) (.f64 z x))
35.0ms	(+.f64 (pow.f64 x 3) (pow.f64 z 3))

simplify89.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5243	1669

prune187.0ms (5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	95	4	99

Error

Counts

99 → 4

Compiler

Compiled 2631 to 1079 computations (59% saved)

regimes97.0ms (2.6%)

Accuracy

Total 0.0b remaining (50.9%)

Threshold costs 0.0b (50.9%)

Compiler

Compiled 464 to 334 computations (28% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample731.0ms (19.5%)

Algorithm

1×

intervals

Results

278.0ms	8000×	body	128	valid
21.0ms	632×	body	128	invalid

Compiler

Compiled 126 to 92 computations (27% saved)

Details

analyze397.0ms (10.6%)

sample28.0ms (0.7%)

simplify119.0ms (3.2%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite12.0ms (0.3%)

series71.0ms (1.9%)

simplify96.0ms (2.6%)

prune52.0ms (1.4%)

localize17.0ms (0.5%)

rewrite54.0ms (1.4%)

series757.0ms (20.2%)

simplify95.0ms (2.5%)

prune107.0ms (2.9%)

localize16.0ms (0.4%)

rewrite45.0ms (1.2%)

series176.0ms (4.7%)

simplify64.0ms (1.7%)

prune76.0ms (2%)

localize14.0ms (0.4%)

rewrite59.0ms (1.6%)

series370.0ms (9.9%)

simplify89.0ms (2.4%)

prune187.0ms (5%)

regimes97.0ms (2.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample731.0ms (19.5%)

Profiling