Details

analyze631.0ms (11.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	84
1	60	84
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	93.6%	6.4%	7
3.1%	84.2%	12.7%	8
12.5%	67.1%	20.5%	9
16%	63.5%	20.5%	10
17.9%	57.7%	24.4%	11
22.6%	48.7%	28.7%	12
28.7%	37.8%	33.6%	13
30.4%	35.9%	33.7%	14

Compiler

Compiled 9 to 9 computations (0% saved)

sample29.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
3.0ms	92×	body	128	nan
1.0ms	24×	body	128	invalid

Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

prune3.0ms (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

20.8b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

1.3b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
5.1b	(/.f64 A (*.f64 V l))
19.4b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1123`
15×	`sqrt-prod_binary64_1117`
11×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
10×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041`
9×	`times-frac_binary64_1107`
6×	`pow1_binary64_1162`
3×	`add-log-exp_binary64_1140` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-l*_binary64_1042`
2×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `sqrt-div_binary64_1118` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `unswap-sqr_binary64_1069`
1×	`-commutative_binary64_1032` `rem-sqrt-square_binary64_1114` `frac-2neg_binary64_1112` `sqrt-pow1_binary64_1119` `clear-num_binary64_1100` `associate-r/_binary64_1043` `pow-prod-down_binary64_1172` `associate-/r*_binary64_1045` `pow1/2_binary64_1181`

Counts

3 → 66

Calls

3 calls:

8.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
4.0ms	(/.f64 A (*.f64 V l))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

series109.0ms (2%)

Counts

3 → 9

Calls

3 calls:

57.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
31.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
21.0ms	(/.f64 A (*.f64 V l))

simplify96.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4793	857
1	4793	857

prune84.0ms (1.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	57	18	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	18	76

Error

9.7b

Counts

76 → 18

Compiler

Compiled 1130 to 404 computations (64.2% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

1.3b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
4.2b	(/.f64 (/.f64 A V) l)
19.4b	(sqrt.f64 (/.f64 (/.f64 A V) l))

rewrite51.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

213×	`times-frac_binary64_1107`
134×	`add-sqr-sqrt_binary64_1123`
117×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
89×	`sqrt-prod_binary64_1117`
46×	`associate-r_binary64_1041`
13×	`div-inv_binary64_1098` `associate-/l*_binary64_1046`
10×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
6×	`pow1_binary64_1162`
4×	`unswap-sqr_binary64_1069`
3×	`rem-sqrt-square_binary64_1114` `add-log-exp_binary64_1140` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-l_binary64_1042` `associate-/r*_binary64_1045`
2×	`sqrt-div_binary64_1118`
1×	`-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `frac-2neg_binary64_1112` `sqrt-pow1_binary64_1119` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `associate-r/_binary64_1043` `pow-prod-down_binary64_1172` `pow1/2_binary64_1181`

Counts

3 → 191

Calls

3 calls:

18.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
7.0ms	(sqrt.f64 (/.f64 (/.f64 A V) l))
6.0ms	(/.f64 (/.f64 A V) l)

series108.0ms (2%)

Counts

3 → 9

Calls

3 calls:

57.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
33.0ms	(sqrt.f64 (/.f64 (/.f64 A V) l))
18.0ms	(/.f64 (/.f64 A V) l)

simplify107.0ms (2%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4949	3477
1	4949	3477

prune175.0ms (3.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	186	14	200
Fresh	14	3	17
Picked	1	0	1
Done	0	0	0
Total	201	17	218

Error

0.0b

Counts

218 → 17

Compiler

Compiled 3518 to 970 computations (72.4% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 l)
0.6b	(cbrt.f64 l)
0.6b	(cbrt.f64 A)
0.6b	(cbrt.f64 A)

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1132`
8×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
4×	`pow1/3_binary64_1183` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 A)
1.0ms	(cbrt.f64 A)
1.0ms	(cbrt.f64 l)
1.0ms	(cbrt.f64 l)

series331.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt.f64 A)
84.0ms	(cbrt.f64 l)
83.0ms	(cbrt.f64 A)
79.0ms	(cbrt.f64 l)

simplify33.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5087	340

prune69.0ms (1.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	2	14	16
Picked	0	1	1
Done	0	0	0
Total	55	18	73

Error

0.0b

Counts

73 → 18

Compiler

Compiled 1643 to 517 computations (68.5% saved)

localize25.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 A)
0.6b	(cbrt.f64 A)
0.6b	(cbrt.f64 A)
0.6b	(cbrt.f64 A)

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1132`
8×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
4×	`pow1/3_binary64_1183` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 A)
1.0ms	(cbrt.f64 A)
1.0ms	(cbrt.f64 A)
1.0ms	(cbrt.f64 A)

series312.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

82.0ms	(cbrt.f64 A)
77.0ms	(cbrt.f64 A)
77.0ms	(cbrt.f64 A)
76.0ms	(cbrt.f64 A)

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4962	340
1	4962	340

prune60.0ms (1.1%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	16	16
Picked	0	1	1
Done	0	1	1
Total	55	19	74

Error

0.0b

Counts

74 → 19

Compiler

Compiled 1856 to 397 computations (78.6% saved)

regimes991.0ms (18.3%)

Accuracy

Total 1.1b remaining (94.8%)

Threshold costs 0b (0%)

Compiler

Compiled 9439 to 7088 computations (24.9% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	35
1	16	35

Compiler

Compiled 42 to 26 computations (38.1% saved)

end0.0ms (0%)

sample2.1s (37.9%)

Algorithm

1×

intervals

Results

337.0ms	8000×	body	128	valid
121.0ms	2992×	body	128	nan
34.0ms	867×	body	128	invalid

Compiler

Compiled 1111 to 832 computations (25.1% saved)

Details

analyze631.0ms (11.7%)

sample29.0ms (0.5%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite20.0ms (0.4%)

series109.0ms (2%)

simplify96.0ms (1.8%)

prune84.0ms (1.6%)

localize10.0ms (0.2%)

rewrite51.0ms (0.9%)

series108.0ms (2%)

simplify107.0ms (2%)

prune175.0ms (3.2%)

localize16.0ms (0.3%)

rewrite8.0ms (0.1%)

series331.0ms (6.1%)

simplify33.0ms (0.6%)

prune69.0ms (1.3%)

localize25.0ms (0.5%)

rewrite9.0ms (0.2%)

series312.0ms (5.8%)

simplify64.0ms (1.2%)

prune60.0ms (1.1%)

regimes991.0ms (18.3%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample2.1s (37.9%)

Profiling