Details

analyze2.0ms (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)

sample17.0ms (0.9%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify93.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

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)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-sqr-sqrt_binary64_1123` `sqrt-prod_binary64_1117`
2×	`*-un-lft-identity_binary64_1101` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136`
1×	`rem-sqrt-square_binary64_1114` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `sqrt-pow1_binary64_1119` `add-cbrt-cube_binary64_1137` `pow1/2_binary64_1181`

Counts

1 → 13

Calls

1 calls:

2.0ms

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

series28.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify160.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (151.0ms)

Iter	Nodes	Cost
0	4785	157
1	4785	157

prune18.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	4	17

Error

Counts

17 → 4

Compiler

Compiled 169 to 55 computations (67.5% saved)

localize6.0ms (0.3%)

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)))))

rewrite28.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`sqrt-prod_binary64_1117`
64×	`add-sqr-sqrt_binary64_1123`
41×	`sqrt-pow1_binary64_1119`
32×	`pow1_binary64_1162`
21×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136` `pow1/2_binary64_1181`
15×	`swap-sqr_binary64_1068`
13×	`rem-sqrt-square_binary64_1114`
9×	`pow-prod-up_binary64_1171` `associate-r_binary64_1041` `associate-l_binary64_1042` `unswap-sqr_binary64_1069`
6×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
5×	`pow-sqr_binary64_1074` `pow-prod-down_binary64_1172`
4×	`add-log-exp_binary64_1140` `sqr-abs_binary64_1116`
1×	`pow-plus_binary64_1164` `*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `rem-square-sqrt_binary64_1113` `sqrt-unprod_binary64_1121` `pow2_binary64_1182`

Counts

4 → 130

Calls

4 calls:

12.0ms	(*.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)))

series164.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

61.0ms	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
56.0ms	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
26.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))
21.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))

simplify89.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5168	1480

prune80.0ms (4.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	142	4	146

Error

Counts

146 → 4

Compiler

Compiled 1922 to 285 computations (85.2% saved)

localize7.0ms (0.4%)

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)))

rewrite18.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1123`
14×	`sqrt-prod_binary64_1117` `cbrt-prod_binary64_1132`
12×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
9×	`associate-r_binary64_1041`
7×	`pow1_binary64_1162`
6×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
4×	`add-log-exp_binary64_1140`
3×	`pow1/3_binary64_1183` `associate-l_binary64_1042` `unswap-sqr_binary64_1069`
2×	`rem-sqrt-square_binary64_1114` `sqrt-pow1_binary64_1119`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172` `pow1/2_binary64_1181`

Counts

4 → 66

Calls

4 calls:

7.0ms	(*.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)))

series249.0ms (13.4%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
56.0ms	(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
56.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))
53.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))

simplify74.0ms (4%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4918	1310
1	4918	1310

prune55.0ms (3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	78	4	82

Error

Counts

82 → 4

Compiler

Compiled 1424 to 222 computations (84.4% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.5b	(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3)
19.4b	(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3))

rewrite12.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_1132`
15×	`add-sqr-sqrt_binary64_1123` `sqrt-prod_binary64_1117`
14×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
12×	`cube-prod_binary64_1129` `unpow-prod-down_binary64_1180`
6×	`pow1_binary64_1162`
4×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
3×	`add-log-exp_binary64_1140` `pow-pow_binary64_1173` `pow-unpow_binary64_1178`
2×	`cube-mult_binary64_1131` `sqrt-pow1_binary64_1119` `unpow3_binary64_1167` `sqr-pow_binary64_1073` `pow1/2_binary64_1181`
1×	`pow-exp_binary64_1169` `rem-cube-cbrt_binary64_1124` `rem-sqrt-square_binary64_1114` `pow1/3_binary64_1183` `sqrt-pow2_binary64_1120` `pow-to-exp_binary64_1170` `rem-cbrt-cube_binary64_1125`

Counts

3 → 72

Calls

3 calls:

3.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3))
3.0ms	(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3)
1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))

series97.0ms (5.3%)

Counts

3 → 9

Calls

3 calls:

54.0ms	(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3)
22.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3))
22.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))

simplify100.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4896	974
1	4896	974

prune46.0ms (2.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	81	4	85

Error

Counts

85 → 4

Compiler

Compiled 882 to 274 computations (68.9% saved)

regimes68.0ms (3.7%)

Accuracy

Total 0.0b remaining (56.6%)

Threshold costs 0.0b (56.6%)

Compiler

Compiled 298 to 247 computations (17.1% 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%)

sample424.0ms (22.9%)

Algorithm

1×

intervals

Results

183.0ms

8000×

body

128

valid

Compiler

Compiled 65 to 56 computations (13.8% saved)

Details

analyze2.0ms (0.1%)

sample17.0ms (0.9%)

simplify93.0ms (5%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite3.0ms (0.1%)

series28.0ms (1.5%)

simplify160.0ms (8.6%)

prune18.0ms (1%)

localize6.0ms (0.3%)

rewrite28.0ms (1.5%)

series164.0ms (8.8%)

simplify89.0ms (4.8%)

prune80.0ms (4.3%)

localize7.0ms (0.4%)

rewrite18.0ms (1%)

series249.0ms (13.4%)

simplify74.0ms (4%)

prune55.0ms (3%)

localize7.0ms (0.4%)

rewrite12.0ms (0.7%)

series97.0ms (5.3%)

simplify100.0ms (5.4%)

prune46.0ms (2.5%)

regimes68.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample424.0ms (22.9%)

Profiling