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
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample19.0ms (0.9%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify410.0ms (20.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	5574	20

prune2.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
0.0b	(-.f64 1 (*.f64 x x))
0.0b	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

rewrite42.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`*-un-lft-identity_binary64_1442`
37×	`times-frac_binary64_1448`
32×	`add-sqr-sqrt_binary64_1464`
24×	`add-cube-cbrt_binary64_1477`
23×	`sqrt-prod_binary64_1458`
10×	`difference-of-squares_binary64_1411`
8×	`associate-/l*_binary64_1387` `distribute-lft-out_binary64_1393`
7×	`div-inv_binary64_1439` `add-log-exp_binary64_1481`
5×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
3×	`distribute-rgt-out_binary64_1395` `associate-/r*_binary64_1386` `pow1_binary64_1503`
2×	`associate-/l/_binary64_1389` `flip3--_binary64_1446` `sqrt-div_binary64_1459` `flip--_binary64_1417`
1×	`cbrt-undiv_binary64_1476` `distribute-rgt1-in_binary64_1398` `cancel-sign-sub-inv_binary64_1408` `sum-log_binary64_1533` `sub-neg_binary64_1435` `clear-num_binary64_1441` `+-commutative_binary64_1372` `frac-2neg_binary64_1453` `diff-log_binary64_1534` `flip3-+_binary64_1445` `flip-+_binary64_1416` `frac-add_binary64_1450` `div-exp_binary64_1493`

Counts

3 → 87

Calls

3 calls:

24.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
7.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
3.0ms	(-.f64 1 (*.f64 x x))

series190.0ms (9.3%)

Counts

3 → 9

Calls

3 calls:

82.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
59.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
48.0ms	(-.f64 1 (*.f64 x x))

simplify70.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4936	1795
1	4936	1795

prune97.0ms (4.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	2	97

Merged error: 0b

Counts

97 → 2

Compiler

Compiled 1896 to 1208 computations (36.3% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (*.f64 x x))
0.0b	(exp.f64 (/.f64 1 x))
0.0b	(pow.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
0.2b	(log.f64 (pow.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))

rewrite35.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`exp-prod_binary64_1494` `*-un-lft-identity_binary64_1442`
24×	`add-sqr-sqrt_binary64_1464`
22×	`add-cube-cbrt_binary64_1477`
18×	`times-frac_binary64_1448`
14×	`pow-pow_binary64_1514`
8×	`log-prod_binary64_1528`
7×	`add-log-exp_binary64_1481`
6×	`unpow-prod-down_binary64_1521`
5×	`pow-unpow_binary64_1519` `add-exp-log_binary64_1480` `pow1_binary64_1503`
4×	`add-cbrt-cube_binary64_1478`
3×	`rem-log-exp_binary64_1483`
2×	`pow-exp_binary64_1510` `div-inv_binary64_1439` `distribute-lft-out_binary64_1393` `sqr-pow_binary64_1414` `unpow-prod-up_binary64_1520` `difference-of-squares_binary64_1411` `pow-to-exp_binary64_1511`
1×	`cancel-sign-sub-inv_binary64_1408` `sub-neg_binary64_1435` `rem-exp-log_binary64_1482` `log-pow_binary64_1531` `flip3--_binary64_1446` `flip--_binary64_1417` `diff-log_binary64_1534` `sqrt-prod_binary64_1458`

Counts

4 → 87

Calls

4 calls:

11.0ms	(pow.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
5.0ms	(log.f64 (pow.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
4.0ms	(exp.f64 (/.f64 1 x))
3.0ms	(-.f64 1 (*.f64 x x))

series289.0ms (14.1%)

Counts

4 → 12

Calls

4 calls:

119.0ms	(log.f64 (pow.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
108.0ms	(pow.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
51.0ms	(-.f64 1 (*.f64 x x))
10.0ms	(exp.f64 (/.f64 1 x))

simplify54.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4914	1643
1	4914	1643

prune112.0ms (5.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	99	2	101

Merged error: 0b

Counts

101 → 2

Compiler

Compiled 1994 to 1451 computations (27.2% saved)

regimes42.0ms (2.1%)

Compiler: Compiled 217 to 178 computations (18% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	22
1	31	22

end0.0ms (0%)

sample654.0ms (32%)

Algorithm

1×

intervals

Results

432.0ms	8000×	body	128	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 83 to 70 computations (15.7% saved)

Details

analyze5.0ms (0.2%)

sample19.0ms (0.9%)

simplify410.0ms (20.1%)

prune2.0ms (0.1%)

localize9.0ms (0.4%)

rewrite42.0ms (2.1%)

series190.0ms (9.3%)

simplify70.0ms (3.4%)

prune97.0ms (4.7%)

localize10.0ms (0.5%)

rewrite35.0ms (1.7%)

series289.0ms (14.1%)

simplify54.0ms (2.7%)

prune112.0ms (5.5%)

regimes42.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample654.0ms (32%)

Profiling