Details

analyze11.0ms (0.3%)

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)

sample22.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify173.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (77.0ms)

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)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(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	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.1b	(.f64 3 (.f64 v v))

rewrite280.0ms (7.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

41×	`add-sqr-sqrt_binary64_1464`
26×	`associate-l_binary64_1383`
23×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `*-un-lft-identity_binary64_1442`
22×	`add-cube-cbrt_binary64_1477` `times-frac_binary64_1448`
20×	`sqrt-prod_binary64_1458`
18×	`sqrt-div_binary64_1459` `frac-times_binary64_1452`
17×	`pow1_binary64_1503`
15×	`flip3--_binary64_1446` `flip--_binary64_1417`
12×	`associate-r_binary64_1382`
10×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-*r/_binary64_1384`
9×	`associate-*l/_binary64_1385`
7×	`pow-prod-down_binary64_1513` `unswap-sqr_binary64_1410`
4×	`add-log-exp_binary64_1481`
3×	`*-commutative_binary64_1373`
2×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `sub-neg_binary64_1435` `distribute-rgt-in_binary64_1392` `cancel-sign-sub-inv_binary64_1408` `distribute-lft-in_binary64_1391` `difference-of-squares_binary64_1411`
1×	`div-inv_binary64_1439` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`

Counts

4 → 129

Calls

4 calls:

16.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
14.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
7.0ms	(.f64 3 (.f64 v v))
3.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

Compiler

Compiled 4142 to 2935 computations (29.1% saved)

series203.0ms (5.5%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

69.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
55.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
29.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
28.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 997 to 869 computations (12.8% saved)

simplify101.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4922	3598
1	4922	3598

prune230.0ms (6.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	148	2	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	149	2	151

Error

Counts

151 → 2

Compiler

Compiled 3919 to 2881 computations (26.5% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
0.0b	(exp.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (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)))))
0.1b	(.f64 3 (.f64 v v))

rewrite222.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

40×	`add-sqr-sqrt_binary64_1464`
25×	`associate-l_binary64_1383`
22×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442` `times-frac_binary64_1448`
20×	`sqrt-prod_binary64_1458`
15×	`pow1_binary64_1503`
14×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
10×	`sqrt-div_binary64_1459`
7×	`unswap-sqr_binary64_1410` `associate-r_binary64_1382`
5×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `flip3--_binary64_1446` `flip--_binary64_1417` `exp-prod_binary64_1494` `log-div_binary64_1529` `exp-diff_binary64_1490`
4×	`add-log-exp_binary64_1481` `frac-times_binary64_1452` `associate-*r/_binary64_1384`
2×	`-commutative_binary64_1373` `associate-l/_binary64_1385` `log-pow_binary64_1531`
1×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `log-prod_binary64_1528` `exp-sum_binary64_1488` `rem-exp-log_binary64_1482` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`

Counts

4 → 105

Calls

4 calls:

12.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
9.0ms	(exp.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
6.0ms	(.f64 3 (.f64 v v))
6.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

Compiler

Compiled 3324 to 2485 computations (25.2% saved)

series242.0ms (6.6%)

Error

Counts

4 → 21

Calls

4 calls:

108.0ms	(exp.f64 (log.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))))
49.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
31.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
28.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 1249 to 1087 computations (13% saved)

simplify112.0ms (3%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4889	2468
1	4889	2468

prune188.0ms (5.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	126	2	128

Error

Counts

128 → 2

Compiler

Compiled 3418 to 2575 computations (24.7% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))
0.0b	(sqrt.f64 (-.f64 1 (.f64 3 (.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))))
0.1b	(.f64 3 (.f64 v v))

rewrite278.0ms (7.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`associate-l_binary64_1383`
29×	`add-sqr-sqrt_binary64_1464`
23×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `*-un-lft-identity_binary64_1442`
22×	`add-cube-cbrt_binary64_1477`
20×	`sqrt-div_binary64_1459` `frac-times_binary64_1452`
19×	`flip3--_binary64_1446` `flip--_binary64_1417`
18×	`times-frac_binary64_1448`
17×	`pow1_binary64_1503`
16×	`sqrt-prod_binary64_1458`
14×	`associate-*r/_binary64_1384`
10×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
7×	`pow-prod-down_binary64_1513` `associate-r_binary64_1382` `associate-*l/_binary64_1385`
6×	`sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408`
4×	`add-log-exp_binary64_1481`
3×	`unswap-sqr_binary64_1410` `*-commutative_binary64_1373`
2×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `difference-of-squares_binary64_1411`
1×	`div-inv_binary64_1439` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`

Counts

4 → 136

Calls

4 calls:

16.0ms	(.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))
3.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))

Compiler

Compiled 4464 to 3096 computations (30.6% saved)

series185.0ms (5%)

Error

Counts

4 → 21

Calls

4 calls:

64.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
43.0ms	(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))
30.0ms	(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))
27.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 912 to 816 computations (10.5% saved)

simplify100.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4949	3983
1	4949	3983

prune240.0ms (6.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	157	2	159

Error

Counts

159 → 2

Compiler

Compiled 4126 to 2999 computations (27.3% saved)

regimes99.0ms (2.7%)

Accuracy

Total 0.0b remaining (86.8%)

Threshold costs 0.0b (86.8%)

Compiler

Compiled 1073 to 889 computations (17.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	35
1	57	35

end0.0ms (0%)

sample939.0ms (25.6%)

Algorithm

1×

intervals

Results

404.0ms	8000×	body	128	valid
0.0ms	7×	body	128	nan

Compiler

Compiled 357 to 297 computations (16.8% saved)

Details

analyze11.0ms (0.3%)

sample22.0ms (0.6%)

simplify173.0ms (4.7%)

prune3.0ms (0.1%)

localize11.0ms (0.3%)

rewrite280.0ms (7.6%)

series203.0ms (5.5%)

simplify101.0ms (2.7%)

prune230.0ms (6.3%)

localize14.0ms (0.4%)

rewrite222.0ms (6.1%)

series242.0ms (6.6%)

simplify112.0ms (3%)

prune188.0ms (5.1%)

localize14.0ms (0.4%)

rewrite278.0ms (7.6%)

series185.0ms (5%)

simplify100.0ms (2.7%)

prune240.0ms (6.5%)

regimes99.0ms (2.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample939.0ms (25.6%)

Profiling