Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 6 to 6 computations (0% saved)

sample21.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify131.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	70	8
1	70	8

prune4.0ms (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 10 to 10 computations (0% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-sqr-sqrt_binary64_1464` `sqrt-prod_binary64_1458`
2×	`pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
1×	`sqrt-pow1_binary64_1460` `add-cbrt-cube_binary64_1478` `rem-sqrt-square_binary64_1455` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `pow1/2_binary64_1522`

Counts

1 → 13

Calls

2 calls:

3.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))

series79.0ms (2.1%)

Counts

1 → 6

Calls

1 calls:

79.0ms

(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 60 to 60 computations (0% saved)

simplify250.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (241.0ms)

Iter	Nodes	Cost
0	4785	181
1	4785	181

prune25.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	17	2	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	3	20

Error

0.0b

Counts

20 → 3

Compiler

Compiled 171 to 48 computations (71.9% saved)

localize15.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.5b	(cbrt.f64 (fabs.f64 (-.f64 x y)))
0.5b	(cbrt.f64 (fabs.f64 (-.f64 x y)))
0.4b	(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
0.1b	(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
0.1b	(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
0.4b	(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
0.5b	(cbrt.f64 (fabs.f64 (-.f64 x y)))
0.5b	(cbrt.f64 (fabs.f64 (-.f64 x y)))

rewrite31.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1464`
14×	`cbrt-prod_binary64_1473` `sqrt-prod_binary64_1458`
12×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`associate-r_binary64_1382`
7×	`pow1_binary64_1503`
6×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
4×	`add-log-exp_binary64_1481`
3×	`associate-l_binary64_1383` `pow1/3_binary64_1524` `unswap-sqr_binary64_1410`
2×	`sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`
1×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `pow1/2_binary64_1522` `prod-exp_binary64_1491`

Counts

4 → 66

Calls

8 calls:

13.0ms	(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
3.0ms	(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
2.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))
0.0ms	(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))

series1.2s (33.8%)

Counts

4 → 24

Calls

4 calls:

416.0ms	(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
317.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))
277.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))
233.0ms	(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))

Compiler

Compiled 660 to 468 computations (29.1% saved)

simplify101.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4918	1448
1	4918	1448

prune61.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	90	3	93

Error

0.0b

Counts

93 → 3

Compiler

Compiled 1580 to 240 computations (84.8% saved)

localize9.0ms (0.2%)

Local error

Found 6 expressions with local error:

21.7b	(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3))
0.4b	(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3)
0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.4b	(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3)
21.7b	(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_1473`
15×	`add-sqr-sqrt_binary64_1464` `sqrt-prod_binary64_1458`
14×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
12×	`cube-prod_binary64_1470` `unpow-prod-down_binary64_1521`
6×	`pow1_binary64_1503`
4×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
3×	`pow-unpow_binary64_1519` `add-log-exp_binary64_1481` `pow-pow_binary64_1514`
2×	`sqrt-pow1_binary64_1460` `cube-mult_binary64_1472` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `pow1/2_binary64_1522`
1×	`rem-sqrt-square_binary64_1455` `pow-exp_binary64_1510` `rem-cube-cbrt_binary64_1465` `pow1/3_binary64_1524` `sqrt-pow2_binary64_1461` `pow-to-exp_binary64_1511` `rem-cbrt-cube_binary64_1466`

Counts

3 → 72

Calls

6 calls:

6.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3))
6.0ms	(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3)
2.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3))

series312.0ms (8.5%)

Counts

3 → 18

Calls

3 calls:

203.0ms	(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3)
58.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3))
51.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 252 to 252 computations (0% saved)

simplify134.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4896	1055
1	4896	1055

prune81.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	90	3	93

Error

0.0b

Counts

93 → 3

Compiler

Compiled 945 to 295 computations (68.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	69
1	31	69

regimes108.0ms (2.9%)

Accuracy

Total 0.0b remaining (47.2%)

Threshold costs 0.0b (47.2%)

Compiler

Compiled 253 to 262 computations (-3.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	8
1	16	8

end0.0ms (0%)

sample1.0s (28%)

Algorithm

1×

intervals

Results

234.0ms

8000×

body

128

valid

Compiler

Compiled 141 to 146 computations (-3.5% saved)

Pareto

0.18061997130226204

Details

analyze4.0ms (0.1%)

sample21.0ms (0.6%)

simplify131.0ms (3.6%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite5.0ms (0.1%)

series79.0ms (2.1%)

simplify250.0ms (6.8%)

prune25.0ms (0.7%)

localize15.0ms (0.4%)

rewrite31.0ms (0.8%)

series1.2s (33.8%)

simplify101.0ms (2.8%)

prune61.0ms (1.7%)

localize9.0ms (0.2%)

rewrite23.0ms (0.6%)

series312.0ms (8.5%)

simplify134.0ms (3.6%)

prune81.0ms (2.2%)

simplify3.0ms (0.1%)

regimes108.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (28%)

Profiling