Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 20 to 16 computations (20% saved)

sample18.0ms (0.6%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify169.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5039	29

prune3.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 38 to 30 computations (21.1% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.2b	(.f64 3 (.f64 v v))

rewrite48.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_1805`
26×	`associate-l_binary64_1724`
23×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `*-un-lft-identity_binary64_1783`
22×	`add-cube-cbrt_binary64_1818` `times-frac_binary64_1789`
20×	`sqrt-prod_binary64_1799`
18×	`sqrt-div_binary64_1800` `frac-times_binary64_1793`
17×	`pow1_binary64_1844`
15×	`flip3--_binary64_1787` `flip--_binary64_1758`
12×	`associate-r_binary64_1723`
10×	`associate-*r/_binary64_1725` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832`
9×	`associate-*l/_binary64_1726`
7×	`pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`
4×	`add-log-exp_binary64_1822`
3×	`*-commutative_binary64_1714`
2×	`difference-of-squares_binary64_1752` `distribute-lft-in_binary64_1732` `cancel-sign-sub-inv_binary64_1749` `cbrt-undiv_binary64_1817` `distribute-rgt-in_binary64_1733` `div-exp_binary64_1834` `sub-neg_binary64_1776`
1×	`div-inv_binary64_1780` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`

Counts

4 → 129

Calls

4 calls:

14.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
12.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
6.0ms	(.f64 3 (.f64 v v))
3.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

series182.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
54.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
26.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
18.0ms	(.f64 3 (.f64 v v))

simplify83.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4932	3693
1	4932	3693

prune237.0ms (8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	140	2	142

Error

Counts

142 → 2

Compiler

Compiled 3925 to 2921 computations (25.6% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 3)) (-.f64 1 (*.f64 v v)))
0.0b	(cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 3))
0.2b	(.f64 3 (.f64 v v))
1.0b	(pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 3)

rewrite47.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cube-div_binary64_1812`
20×	`cbrt-div_binary64_1815` `sqrt-div_binary64_1800` `frac-times_binary64_1793`
18×	`cbrt-prod_binary64_1814`
17×	`add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821`
16×	`flip3--_binary64_1787` `add-cbrt-cube_binary64_1819` `flip--_binary64_1758`
14×	`associate-l_binary64_1724` `pow1_binary64_1844`
12×	`associate-*r/_binary64_1725`
11×	`*-un-lft-identity_binary64_1783`
10×	`add-cube-cbrt_binary64_1818` `associate-*l/_binary64_1726`
6×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `associate-r_binary64_1723`
5×	`pow-prod-down_binary64_1854`
4×	`sqr-pow_binary64_1755` `unswap-sqr_binary64_1751` `add-log-exp_binary64_1822`
3×	`rem-cube-cbrt_binary64_1806` `cube-mult_binary64_1813` `pow-unpow_binary64_1860` `unpow3_binary64_1849` `unpow-prod-down_binary64_1862` `pow-exp_binary64_1851` `cube-prod_binary64_1811`
2×	`difference-of-squares_binary64_1752` `distribute-lft-in_binary64_1732` `cancel-sign-sub-inv_binary64_1749` `*-commutative_binary64_1714` `distribute-rgt-in_binary64_1733` `pow-pow_binary64_1855` `sub-neg_binary64_1776`
1×	`rem-cbrt-cube_binary64_1807` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834` `pow1/3_binary64_1865` `pow-to-exp_binary64_1852`

Counts

4 → 121

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 3)) (-.f64 1 (*.f64 v v)))
11.0ms	(pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 3)
8.0ms	(.f64 3 (.f64 v v))
3.0ms	(cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 3))

series259.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

104.0ms	(pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 3)
77.0ms	(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) 3)) (-.f64 1 (*.f64 v v)))
60.0ms	(cbrt.f64 (pow.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v))))) 3))
17.0ms	(.f64 3 (.f64 v v))

simplify89.0ms (3%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4958	3914
1	4958	3914

prune234.0ms (7.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	133	2	135

Error

Counts

135 → 2

Compiler

Compiled 4108 to 3102 computations (24.5% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.2b	(.f64 3 (.f64 v v))

rewrite52.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_1805`
26×	`associate-l_binary64_1724`
23×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `*-un-lft-identity_binary64_1783`
22×	`add-cube-cbrt_binary64_1818` `times-frac_binary64_1789`
20×	`sqrt-prod_binary64_1799`
18×	`sqrt-div_binary64_1800` `frac-times_binary64_1793`
17×	`pow1_binary64_1844`
15×	`flip3--_binary64_1787` `flip--_binary64_1758`
12×	`associate-r_binary64_1723`
10×	`associate-*r/_binary64_1725` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832`
9×	`associate-*l/_binary64_1726`
7×	`pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`
4×	`add-log-exp_binary64_1822`
3×	`*-commutative_binary64_1714`
2×	`difference-of-squares_binary64_1752` `distribute-lft-in_binary64_1732` `cancel-sign-sub-inv_binary64_1749` `cbrt-undiv_binary64_1817` `distribute-rgt-in_binary64_1733` `div-exp_binary64_1834` `sub-neg_binary64_1776`
1×	`div-inv_binary64_1780` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`

Counts

4 → 129

Calls

4 calls:

14.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
12.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
6.0ms	(.f64 3 (.f64 v v))
3.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

series158.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

67.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
47.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
26.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
17.0ms	(.f64 3 (.f64 v v))

simplify84.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4932	3693
1	4932	3693

prune241.0ms (8.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	141	2	143

Error

Counts

143 → 2

Compiler

Compiled 4164 to 3168 computations (23.9% saved)

regimes104.0ms (3.5%)

Accuracy

Total 0.0b remaining (91.6%)

Threshold costs 0.0b (91.6%)

Compiler

Compiled 1316 to 1085 computations (17.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	34
1	56	34

end0.0ms (0%)

sample920.0ms (30.9%)

Algorithm

1×

intervals

Results

410.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 432 to 358 computations (17.1% saved)

Details

analyze5.0ms (0.2%)

sample18.0ms (0.6%)

simplify169.0ms (5.7%)

prune3.0ms (0.1%)

localize15.0ms (0.5%)

rewrite48.0ms (1.6%)

series182.0ms (6.1%)

simplify83.0ms (2.8%)

prune237.0ms (8%)

localize13.0ms (0.5%)

rewrite47.0ms (1.6%)

series259.0ms (8.7%)

simplify89.0ms (3%)

prune234.0ms (7.9%)

localize14.0ms (0.5%)

rewrite52.0ms (1.7%)

series158.0ms (5.3%)

simplify84.0ms (2.8%)

prune241.0ms (8.1%)

regimes104.0ms (3.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample920.0ms (30.9%)

Profiling