Details

analyze316.0ms (8.4%)

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)

sample46.0ms (1.2%)

Algorithm

1×

intervals

Results

34.0ms	256×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify154.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	5039	29

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

0.0b

Counts

2 → 1

Compiler

Compiled 38 to 30 computations (21.1% saved)

localize22.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

rewrite78.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64_1464`
26×	`associate-l_binary64_1383`
22×	`add-cbrt-cube_binary64_1478` `times-frac_binary64_1448` `add-exp-log_binary64_1480`
21×	`*-un-lft-identity_binary64_1442`
20×	`add-cube-cbrt_binary64_1477`
18×	`frac-times_binary64_1452`
17×	`sqrt-prod_binary64_1458`
16×	`sqrt-div_binary64_1459`
15×	`pow1_binary64_1503`
14×	`flip3--_binary64_1446` `flip--_binary64_1417`
12×	`associate-r_binary64_1382`
10×	`associate-*r/_binary64_1384` `cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
9×	`associate-*l/_binary64_1385`
7×	`pow-prod-down_binary64_1513` `unswap-sqr_binary64_1410`
3×	`*-commutative_binary64_1373` `add-log-exp_binary64_1481`
2×	`cbrt-undiv_binary64_1476` `cancel-sign-sub-inv_binary64_1408` `sub-neg_binary64_1435` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `difference-of-squares_binary64_1411` `div-exp_binary64_1493`
1×	`div-inv_binary64_1439`

Counts

3 → 114

Calls

3 calls:

25.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
21.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
10.0ms	(.f64 3 (.f64 v v))

series282.0ms (7.5%)

Counts

3 → 15

Calls

3 calls:

128.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
95.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
58.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 443 to 405 computations (8.6% saved)

simplify157.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5021	3284

prune395.0ms (10.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	2	130

Error

Counts

130 → 2

Compiler

Compiled 3414 to 2524 computations (26.1% saved)

localize24.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))
0.2b	(.f64 3 (.f64 v v))

rewrite42.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1464`
9×	`add-cbrt-cube_binary64_1478` `associate-l_binary64_1383` `add-exp-log_binary64_1480` `pow1_binary64_1503`
7×	`*-un-lft-identity_binary64_1442`
6×	`associate-r_binary64_1382` `flip3--_binary64_1446` `sqrt-div_binary64_1459` `flip--_binary64_1417` `add-cube-cbrt_binary64_1477`
4×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `sqrt-prod_binary64_1458` `frac-times_binary64_1452` `prod-exp_binary64_1491`
3×	`unswap-sqr_binary64_1410`
2×	`associate-r/_binary64_1384` `cancel-sign-sub-inv_binary64_1408` `sub-neg_binary64_1435` `-commutative_binary64_1373` `add-log-exp_binary64_1481` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `difference-of-squares_binary64_1411` `associate-*l/_binary64_1385`

Counts

2 → 55

Calls

2 calls:

20.0ms	(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))
12.0ms	(.f64 3 (.f64 v v))

series140.0ms (3.7%)

Counts

2 → 9

Calls

2 calls:

81.0ms	(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))
58.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 244 to 226 computations (7.4% saved)

simplify123.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4921	1262
1	4921	1262

prune146.0ms (3.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	2	66

Error

Counts

66 → 2

Compiler

Compiled 1626 to 1169 computations (28.1% saved)

localize14.0ms (0.4%)

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)

rewrite36.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_1464`
9×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
7×	`associate-l_binary64_1383`
6×	`associate-r_binary64_1382` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `sqrt-prod_binary64_1458` `prod-exp_binary64_1491`
3×	`unswap-sqr_binary64_1410`
2×	`associate-r/_binary64_1384` `-commutative_binary64_1373` `add-log-exp_binary64_1481`
1×	`distribute-lft-in_binary64_1391` `flip3-+_binary64_1445` `distribute-rgt-in_binary64_1392` `flip-+_binary64_1416`

Counts

2 → 45

Calls

2 calls:

15.0ms	(.f64 (.f64 v v) -5/8)
15.0ms	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))

series179.0ms (4.8%)

Counts

2 → 9

Calls

2 calls:

128.0ms	(.f64 (sqrt.f64 2) (+.f64 1/4 (.f64 (*.f64 v v) -5/8)))
51.0ms	(.f64 (.f64 v v) -5/8)

Compiler

Compiled 158 to 159 computations (-0.6% saved)

simplify139.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	5073	737

prune81.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	54	2	56

Error

Counts

56 → 2

Compiler

Compiled 772 to 583 computations (24.5% saved)

regimes101.0ms (2.7%)

Accuracy

Total 0.0b remaining (58.7%)

Threshold costs 0.0b (58.7%)

Compiler

Compiled 467 to 383 computations (18% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	54	29
1	54	29

end0.0ms (0%)

sample1.3s (34%)

Algorithm

1×

intervals

Results

749.0ms	8000×	body	128	valid
1.0ms	7×	body	128	nan

Compiler

Compiled 159 to 131 computations (17.6% saved)

Details

analyze316.0ms (8.4%)

sample46.0ms (1.2%)

simplify154.0ms (4.1%)

prune5.0ms (0.1%)

localize22.0ms (0.6%)

rewrite78.0ms (2.1%)

series282.0ms (7.5%)

simplify157.0ms (4.2%)

prune395.0ms (10.5%)

localize24.0ms (0.6%)

rewrite42.0ms (1.1%)

series140.0ms (3.7%)

simplify123.0ms (3.3%)

prune146.0ms (3.9%)

localize14.0ms (0.4%)

rewrite36.0ms (1%)

series179.0ms (4.8%)

simplify139.0ms (3.7%)

prune81.0ms (2.1%)

regimes101.0ms (2.7%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.3s (34%)

Profiling