Details

analyze183.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5039	29
0	1	1
1	1	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)

sample20.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify77.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5039	29

prune6.0ms (0.2%)

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)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

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))

rewrite241.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

3 → 114

Calls

3 calls:

14.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
13.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
6.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 3713 to 2635 computations (29% saved)

series156.0ms (3.7%)

Error

0.0b

Counts

3 → 15

Calls

3 calls:

64.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
46.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
28.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 716 to 634 computations (11.5% saved)

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5021	3284

prune188.0ms (4.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	126	4	130

Error

Counts

130 → 4

Compiler

Compiled 3435 to 2536 computations (26.2% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite442.0ms (10.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

3 → 121

Calls

3 calls:

15.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
10.0ms	(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))
6.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 4035 to 2796 computations (30.7% saved)

series160.0ms (3.8%)

Error

Counts

3 → 15

Calls

3 calls:

61.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
53.0ms	(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))
29.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 631 to 581 computations (7.9% saved)

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5173	3669

prune193.0ms (4.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	136	4	140

Error

Counts

140 → 4

Compiler

Compiled 3663 to 2671 computations (27.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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)))
0.0b	(log.f64 (exp.f64 (.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))

rewrite309.0ms (7.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

40×	`add-sqr-sqrt_binary64_1805`
26×	`associate-l_binary64_1724`
23×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `*-un-lft-identity_binary64_1783`
22×	`add-cube-cbrt_binary64_1818` `times-frac_binary64_1789`
18×	`frac-times_binary64_1793`
17×	`pow1_binary64_1844` `sqrt-prod_binary64_1799`
16×	`sqrt-div_binary64_1800`
14×	`flip3--_binary64_1787` `flip--_binary64_1758`
12×	`associate-r_binary64_1723`
10×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-*r/_binary64_1725`
9×	`associate-*l/_binary64_1726`
7×	`pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751` `log-prod_binary64_1869`
5×	`add-log-exp_binary64_1822`
4×	`sub-neg_binary64_1776` `distribute-rgt-in_binary64_1733` `exp-sum_binary64_1829` `cancel-sign-sub-inv_binary64_1749` `distribute-lft-in_binary64_1732`
3×	`*-commutative_binary64_1714` `log-pow_binary64_1872`
2×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `difference-of-squares_binary64_1752`
1×	`exp-to-pow_binary64_1845` `exp-prod_binary64_1835` `rem-log-exp_binary64_1824` `div-inv_binary64_1780`

Counts

4 → 132

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	(log.f64 (exp.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))))

Compiler

Compiled 4584 to 3334 computations (27.3% saved)

series336.0ms (7.9%)

Error

Counts

4 → 21

Calls

4 calls:

173.0ms	(log.f64 (exp.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))))
63.0ms	(.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)))))
27.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 1072 to 974 computations (9.1% saved)

simplify85.0ms (2%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4930	4110
1	4930	4110

prune232.0ms (5.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	153	4	157

Error

Counts

157 → 4

Compiler

Compiled 4278 to 3209 computations (25% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
0.1b	(.f64 (.f64 v v) -5/8)

rewrite62.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-sqr-sqrt_binary64_1805`
9×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
7×	`associate-l_binary64_1724`
6×	`add-cube-cbrt_binary64_1818` `-un-lft-identity_binary64_1783` `associate-r*_binary64_1723`
4×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `sqrt-prod_binary64_1799`
3×	`unswap-sqr_binary64_1751`
2×	`add-log-exp_binary64_1822` `-commutative_binary64_1714` `associate-r/_binary64_1725`
1×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `flip3-+_binary64_1786` `flip-+_binary64_1757`

Counts

2 → 45

Calls

2 calls:

7.0ms	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
6.0ms	(.f64 (.f64 v v) -5/8)

Compiler

Compiled 788 to 579 computations (26.5% saved)

series113.0ms (2.7%)

Error

Counts

2 → 9

Calls

2 calls:

81.0ms	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
26.0ms	(.f64 (.f64 v v) -5/8)

Compiler

Compiled 247 to 241 computations (2.4% saved)

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5073	737

prune49.0ms (1.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	54	4	58

Error

Counts

58 → 4

Compiler

Compiled 772 to 583 computations (24.5% saved)

regimes114.0ms (2.7%)

Accuracy

Total 0.0b remaining (93.3%)

Threshold costs 0.0b (93.3%)

Compiler

Compiled 1289 to 1096 computations (15% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	29
1	55	29

end0.0ms (0%)

sample1.0s (24.4%)

Algorithm

1×

intervals

Results

410.0ms	8000×	body	128	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 426 to 363 computations (14.8% saved)

Details

analyze183.0ms (4.3%)

sample20.0ms (0.5%)

simplify77.0ms (1.8%)

prune6.0ms (0.2%)

localize11.0ms (0.3%)

rewrite241.0ms (5.7%)

series156.0ms (3.7%)

simplify74.0ms (1.7%)

prune188.0ms (4.4%)

localize11.0ms (0.3%)

rewrite442.0ms (10.4%)

series160.0ms (3.8%)

simplify60.0ms (1.4%)

prune193.0ms (4.5%)

localize14.0ms (0.3%)

rewrite309.0ms (7.3%)

series336.0ms (7.9%)

simplify85.0ms (2%)

prune232.0ms (5.5%)

localize6.0ms (0.2%)

rewrite62.0ms (1.5%)

series113.0ms (2.7%)

simplify69.0ms (1.6%)

prune49.0ms (1.1%)

regimes114.0ms (2.7%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.0s (24.4%)

Profiling