Details

analyze394.0ms (6.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7544	20
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
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

Symmetry

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify301.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (295.0ms)

Iter	Nodes	Cost
0	7544	20

prune2.0ms (0%)

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 26 to 20 computations (23.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite201.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`*-un-lft-identity_binary64_1442`
50×	`times-frac_binary64_1448`
43×	`add-sqr-sqrt_binary64_1464`
31×	`add-cube-cbrt_binary64_1477` `sqrt-prod_binary64_1458`
16×	`distribute-lft-out_binary64_1393`
15×	`log-prod_binary64_1528`
13×	`div-inv_binary64_1439`
10×	`difference-of-squares_binary64_1411`
8×	`associate-/l*_binary64_1387`
7×	`add-exp-log_binary64_1480`
6×	`pow1_binary64_1503` `add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `distribute-rgt-out_binary64_1395`
4×	`sqrt-div_binary64_1459`
3×	`associate-/r*_binary64_1386` `log-div_binary64_1529`
2×	`flip3--_binary64_1446` `flip--_binary64_1417` `associate-/l/_binary64_1389` `frac-add_binary64_1450` `flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-rgt1-in_binary64_1398`
1×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `sum-log_binary64_1533` `+-commutative_binary64_1372` `log-pow_binary64_1531` `rem-log-exp_binary64_1483`

Counts

4 → 117

Calls

4 calls:

25.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
22.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
6.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
3.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 2629 to 1663 computations (36.7% saved)

series169.0ms (2.8%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

47.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
38.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
37.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
25.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 699 to 601 computations (14% saved)

simplify89.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5069	2713

prune151.0ms (2.5%)

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 2646 to 1706 computations (35.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
0.0b	(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
0.0b	(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
0.0b	(.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))

rewrite291.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

72×	`cbrt-prod_binary64_1473`
51×	`add-sqr-sqrt_binary64_1464`
43×	`sqrt-prod_binary64_1458`
29×	`*-un-lft-identity_binary64_1442`
22×	`add-cube-cbrt_binary64_1477`
18×	`sqrt-div_binary64_1459` `cbrt-div_binary64_1474`
14×	`difference-of-squares_binary64_1411`
13×	`swap-sqr_binary64_1409`
11×	`pow1_binary64_1503` `associate-l_binary64_1383` `associate-r_binary64_1382`
9×	`pow1/3_binary64_1524` `flip3--_binary64_1446` `flip--_binary64_1417` `unswap-sqr_binary64_1410`
6×	`add-exp-log_binary64_1480`
4×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `frac-times_binary64_1452`
2×	`pow-prod-down_binary64_1513` `pow-prod-up_binary64_1512` `pow-sqr_binary64_1415` `associate-l/_binary64_1385` `associate-r/_binary64_1384`
1×	`pow2_binary64_1523` `pow-plus_binary64_1505` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373`

Counts

4 → 124

Calls

4 calls:

15.0ms	(.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
4.0ms	(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
4.0ms	(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
4.0ms	(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))

Compiler

Compiled 5145 to 3360 computations (34.7% saved)

series271.0ms (4.5%)

Error

Counts

4 → 24

Calls

4 calls:

61.0ms	(.f64 (cbrt.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
60.0ms	(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
56.0ms	(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
56.0ms	(cbrt.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))

Compiler

Compiled 1936 to 1508 computations (22.1% saved)

simplify101.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4920	3019
1	4920	3019

prune268.0ms (4.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

150 → 2

Compiler

Compiled 5214 to 3471 computations (33.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1 x) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x)))
0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.3b	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x))
0.4b	(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x))

rewrite1.2s (19.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

699×	`times-frac_binary64_1448`
604×	`sqrt-prod_binary64_1458`
404×	`*-un-lft-identity_binary64_1442`
398×	`add-sqr-sqrt_binary64_1464`
346×	`add-cube-cbrt_binary64_1477`
100×	`difference-of-squares_binary64_1411`
60×	`associate-/l*_binary64_1387`
12×	`associate-/r*_binary64_1386`
11×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `div-inv_binary64_1439`
6×	`add-log-exp_binary64_1481`
5×	`pow1_binary64_1503`
4×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `sqrt-div_binary64_1459`
3×	`sqrt-undiv_binary64_1463` `associate-/l/_binary64_1389` `distribute-lft-out_binary64_1393`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `flip3--_binary64_1446` `flip--_binary64_1417`
1×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `sum-log_binary64_1533` `frac-add_binary64_1450` `flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-rgt-out_binary64_1395` `+-commutative_binary64_1372`

Counts

4 → 496

Calls

4 calls:

175.0ms	(+.f64 (/.f64 1 x) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x)))
19.0ms	(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x))
7.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x))
3.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 16223 to 8417 computations (48.1% saved)

series140.0ms (2.4%)

Error

Counts

4 → 21

Calls

4 calls:

40.0ms	(+.f64 (/.f64 1 x) (/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x)))
38.0ms	(/.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x)) (sqrt.f64 x))
27.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
18.0ms	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 x))

Compiler

Compiled 758 to 612 computations (19.3% saved)

simplify227.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

517 → 517

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4901	15838
1	4901	15838

prune870.0ms (14.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	517	0	517
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	517	2	519

Error

Counts

519 → 2

Compiler

Compiled 14023 to 7630 computations (45.6% saved)

regimes160.0ms (2.7%)

Accuracy

Total 0.0b remaining (99.6%)

Threshold costs 0.0b (99.6%)

Compiler

Compiled 1340 to 1025 computations (23.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	48
1	33	48

Removed

()

end0.0ms (0%)

sample1.1s (18.1%)

Algorithm

1×

intervals

Results

429.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 438 to 334 computations (23.7% saved)

Details

analyze394.0ms (6.6%)

sample21.0ms (0.4%)

simplify301.0ms (5.1%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite201.0ms (3.4%)

series169.0ms (2.8%)

simplify89.0ms (1.5%)

prune151.0ms (2.5%)

localize13.0ms (0.2%)

rewrite291.0ms (4.9%)

series271.0ms (4.5%)

simplify101.0ms (1.7%)

prune268.0ms (4.5%)

localize13.0ms (0.2%)

rewrite1.2s (19.8%)

series140.0ms (2.4%)

simplify227.0ms (3.8%)

prune870.0ms (14.6%)

regimes160.0ms (2.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.1s (18.1%)

Profiling