Details

analyze155.0ms (4.1%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	16
1	72	16
0	2	2
1	2	2

Search

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

Compiler

Compiled 12 to 12 computations (0% saved)

sample76.0ms (2%)

Algorithm

2×

intervals

Results

11.0ms

512×

body

128

valid

Compiler

Compiled 1553 to 2069 computations (-33.2% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	70	8
1	70	8

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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×	`pow1/2_binary64_1522` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`

Counts

1 → 13

Calls

1 calls:

1.0ms

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

Compiler

Compiled 139 to 36 computations (74.1% saved)

series213.0ms (5.6%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

210.0ms

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

Compiler

Compiled 90 to 65 computations (27.8% saved)

simplify142.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	4785	181
1	4785	181

prune14.0ms (0.4%)

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 176 to 47 computations (73.3% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.1b	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
0.1b	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
0.5b	(*.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))

rewrite153.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

93×	`sqrt-prod_binary64_1458`
64×	`add-sqr-sqrt_binary64_1464`
41×	`sqrt-pow1_binary64_1460`
32×	`pow1_binary64_1503`
21×	`pow1/2_binary64_1522` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
15×	`swap-sqr_binary64_1409`
13×	`rem-sqrt-square_binary64_1455`
9×	`pow-prod-up_binary64_1512` `unswap-sqr_binary64_1410` `associate-l_binary64_1383` `associate-r_binary64_1382`
6×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
5×	`pow-prod-down_binary64_1513` `pow-sqr_binary64_1415`
4×	`add-log-exp_binary64_1481` `sqr-abs_binary64_1457`
1×	`pow2_binary64_1523` `pow-plus_binary64_1505` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `sqrt-unprod_binary64_1462` `rem-square-sqrt_binary64_1454` `*-commutative_binary64_1373`

Counts

4 → 130

Calls

4 calls:

11.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))
2.0ms	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
2.0ms	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 2689 to 369 computations (86.3% saved)

series732.0ms (19.3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

303.0ms	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
273.0ms	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
78.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))
62.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 792 to 403 computations (49.1% saved)

simplify85.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5168	1582

prune107.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	154	3	157

Error

0.0b

Counts

157 → 3

Compiler

Compiled 2046 to 295 computations (85.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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)))))
0.6b	(cbrt.f64 (fabs.f64 (-.f64 x y)))
0.6b	(cbrt.f64 (fabs.f64 (-.f64 x y)))

rewrite70.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
4×	`add-log-exp_binary64_1481`
3×	`pow1/3_binary64_1524` `unswap-sqr_binary64_1410` `associate-l_binary64_1383`
2×	`sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`
1×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373` `pow1/2_binary64_1522`

Counts

4 → 66

Calls

4 calls:

6.0ms	(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
2.0ms	(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
1.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))

Compiler

Compiled 1395 to 205 computations (85.3% saved)

series1.3s (33.8%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

393.0ms	(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
300.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))
290.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))
280.0ms	(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))

Compiler

Compiled 990 to 577 computations (41.7% saved)

simplify75.0ms (2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4918	1448
1	4918	1448

prune75.0ms (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 1572 to 232 computations (85.2% saved)

regimes68.0ms (1.8%)

Accuracy

Total 0.0b remaining (39.3%)

Threshold costs 0.0b (39.3%)

Compiler

Compiled 318 to 217 computations (31.8% 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%)

sample505.0ms (13.3%)

Algorithm

1×

intervals

Results

190.0ms

8000×

body

128

valid

Compiler

Compiled 69 to 50 computations (27.5% saved)

Details

analyze155.0ms (4.1%)

sample76.0ms (2%)

simplify9.0ms (0.2%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite12.0ms (0.3%)

series213.0ms (5.6%)

simplify142.0ms (3.7%)

prune14.0ms (0.4%)

localize7.0ms (0.2%)

rewrite153.0ms (4%)

series732.0ms (19.3%)

simplify85.0ms (2.2%)

prune107.0ms (2.8%)

localize9.0ms (0.2%)

rewrite70.0ms (1.8%)

series1.3s (33.8%)

simplify75.0ms (2%)

prune75.0ms (2%)

regimes68.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample505.0ms (13.3%)

Profiling