Details

analyze94.0ms (4.8%)

Algorithm

1×	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
99.9%	0%	0.1%	1

Compiler

Compiled 6 to 6 computations (0% saved)

sample18.0ms (0.9%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify10.0ms (0.5%)

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)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

1 → 13

Calls

1 calls:

1.0ms

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

Compiler

Compiled 139 to 36 computations (74.1% saved)

series50.0ms (2.5%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

47.0ms

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

Compiler

Compiled 90 to 65 computations (27.8% saved)

simplify158.0ms (8%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	4785	181
1	4785	181

prune15.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	2	20

Error

Counts

20 → 2

Compiler

Compiled 170 to 40 computations (76.5% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite114.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

58×	`cbrt-prod_binary64_1132`
44×	`add-sqr-sqrt_binary64_1123`
29×	`sqrt-prod_binary64_1117`
22×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
11×	`pow1_binary64_1162` `swap-sqr_binary64_1068`
9×	`pow1/3_binary64_1183` `unswap-sqr_binary64_1069` `associate-l_binary64_1042` `associate-r_binary64_1041`
6×	`add-exp-log_binary64_1139`
4×	`add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137`
2×	`pow-prod-down_binary64_1172` `pow-prod-up_binary64_1171` `pow-sqr_binary64_1074`
1×	`pow2_binary64_1182` `pow-plus_binary64_1164` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `*-commutative_binary64_1032`

Counts

4 → 98

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))
2.0ms	(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
2.0ms	(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
2.0ms	(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))

Compiler

Compiled 2878 to 292 computations (89.9% saved)

series757.0ms (38.4%)

Error

Counts

4 → 24

Calls

4 calls:

188.0ms	(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
187.0ms	(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
186.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))
180.0ms	(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))

Compiler

Compiled 1314 to 559 computations (57.5% saved)

simplify70.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5219	2015

prune88.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	122	2	124

Error

Counts

124 → 2

Compiler

Compiled 2841 to 322 computations (88.7% saved)

regimes69.0ms (3.5%)

Accuracy

Total 0.0b remaining (49.2%)

Threshold costs 0.0b (49.2%)

Compiler

Compiled 448 to 267 computations (40.4% 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%)

sample503.0ms (25.5%)

Algorithm

1×

intervals

Results

182.0ms

8000×

body

128

valid

Compiler

Compiled 95 to 60 computations (36.8% saved)

Details

analyze94.0ms (4.8%)

sample18.0ms (0.9%)

simplify10.0ms (0.5%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite10.0ms (0.5%)

series50.0ms (2.5%)

simplify158.0ms (8%)

prune15.0ms (0.7%)

localize8.0ms (0.4%)

rewrite114.0ms (5.8%)

series757.0ms (38.4%)

simplify70.0ms (3.6%)

prune88.0ms (4.5%)

regimes69.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample503.0ms (25.5%)

Profiling