Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample15.0ms (0.2%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify169.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 x 3) x)
0.2b	(.f64 (.f64 x 3) x)

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_5127` `add-cbrt-cube_binary64_5102` `add-exp-log_binary64_5104`
3×	`associate-r_binary64_5006` `prod-exp_binary64_5115` `pow-prod-down_binary64_5137` `cbrt-unprod_binary64_5099`
2×	`*-un-lft-identity_binary64_5066` `add-cube-cbrt_binary64_5101` `add-sqr-sqrt_binary64_5088`
1×	`add-log-exp_binary64_5105` `associate-l_binary64_5007` `*-commutative_binary64_4997`

Counts

1 → 18

Calls

2 calls:

9.0ms	(.f64 (.f64 x 3) x)
0.0ms	(.f64 (.f64 x 3) x)

series42.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

42.0ms

(*.f64 (*.f64 x 3) x)

Compiler

Compiled 30 to 30 computations (0% saved)

simplify148.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4931	168
1	4931	168

prune53.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Error

0.0b

Counts

22 → 6

Compiler

Compiled 216 to 154 computations (28.7% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

19.1b	(sqrt.f64 (.f64 x (.f64 x 3)))
0.3b	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
0.2b	(.f64 x (.f64 x 3))
0.2b	(.f64 x (.f64 x 3))
0.2b	(.f64 x (.f64 x 3))
0.3b	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
19.1b	(sqrt.f64 (.f64 x (.f64 x 3)))
19.1b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite71.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

148×	`pow1_binary64_5127`
80×	`pow-prod-down_binary64_5137`
66×	`sqrt-pow1_binary64_5084`
17×	`pow-prod-up_binary64_5136`
14×	`pow1/2_binary64_5146`
11×	`pow-sqr_binary64_5039` `add-cbrt-cube_binary64_5102` `add-exp-log_binary64_5104` `add-sqr-sqrt_binary64_5088`
9×	`*-un-lft-identity_binary64_5066` `add-cube-cbrt_binary64_5101`
7×	`associate-l_binary64_5007`
6×	`sqrt-prod_binary64_5082`
5×	`associate-r_binary64_5006`
4×	`add-log-exp_binary64_5105` `prod-exp_binary64_5115` `cbrt-unprod_binary64_5099` `swap-sqr_binary64_5033`
2×	`*-commutative_binary64_4997`
1×	`pow-plus_binary64_5129` `rem-square-sqrt_binary64_5078` `unswap-sqr_binary64_5034` `sqrt-unprod_binary64_5086` `pow2_binary64_5147`

Counts

4 → 108

Calls

8 calls:

25.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
11.0ms	(.f64 x (.f64 x 3))
8.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
7.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
0.0ms	(.f64 x (.f64 x 3))

series271.0ms (4%)

Counts

4 → 12

Calls

4 calls:

100.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
66.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
56.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
48.0ms	(.f64 x (.f64 x 3))

Compiler

Compiled 266 to 230 computations (13.5% saved)

simplify118.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4926	737
1	4926	737

prune221.0ms (3.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	115	5	120
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	119	7	126

Error

0.0b

Counts

126 → 7

Compiler

Compiled 1434 to 1083 computations (24.5% saved)

localize23.0ms (0.3%)

Local error

Found 8 expressions with local error:

19.1b	(sqrt.f64 (.f64 x (.f64 x 3)))
0.4b	(*.f64 x (sqrt.f64 3))
0.3b	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
0.2b	(.f64 x (.f64 x 3))
0.2b	(.f64 x (.f64 x 3))
0.3b	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
0.4b	(*.f64 x (sqrt.f64 3))
19.1b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite47.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1_binary64_5127`
16×	`add-sqr-sqrt_binary64_5088`
13×	`add-cbrt-cube_binary64_5102` `add-exp-log_binary64_5104`
11×	`associate-r_binary64_5006`
10×	`*-un-lft-identity_binary64_5066` `add-cube-cbrt_binary64_5101`
9×	`associate-l_binary64_5007`
8×	`pow-prod-down_binary64_5137`
6×	`sqrt-prod_binary64_5082`
5×	`prod-exp_binary64_5115` `cbrt-unprod_binary64_5099`
4×	`add-log-exp_binary64_5105`
3×	`unswap-sqr_binary64_5034` `sqrt-pow1_binary64_5084` `*-commutative_binary64_4997`
1×	`pow1/2_binary64_5146`

Counts

4 → 71

Calls

8 calls:

13.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
9.0ms	(*.f64 x (sqrt.f64 3))
9.0ms	(.f64 x (.f64 x 3))
7.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
0.0ms	(.f64 x (.f64 x 3))

series241.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
54.0ms	(*.f64 x (sqrt.f64 3))
48.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
47.0ms	(.f64 x (.f64 x 3))

Compiler

Compiled 272 to 242 computations (11% saved)

simplify149.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	5158	755

prune155.0ms (2.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	83	7	90

Error

0.0b

Counts

90 → 7

Compiler

Compiled 1237 to 972 computations (21.4% saved)

localize30.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (fabs.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))) (sqrt.f64 (.f64 x (.f64 x 3))))
0.3b	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
0.3b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))
0.2b	(.f64 x (.f64 x 3))
0.3b	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
0.3b	(.f64 (fabs.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))) (sqrt.f64 (.f64 x (.f64 x 3))))
1.0b	(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))
19.1b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite87.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_5088`
40×	`cbrt-prod_binary64_5097`
24×	`pow1_binary64_5127`
22×	`sqrt-prod_binary64_5082`
19×	`*-un-lft-identity_binary64_5066` `add-cube-cbrt_binary64_5101`
15×	`associate-l_binary64_5007`
14×	`associate-r_binary64_5006`
13×	`add-exp-log_binary64_5104`
11×	`unswap-sqr_binary64_5034` `swap-sqr_binary64_5033`
9×	`add-cbrt-cube_binary64_5102` `pow-prod-down_binary64_5137`
6×	`pow1/3_binary64_5148`
5×	`prod-exp_binary64_5115` `cbrt-unprod_binary64_5099`
4×	`add-log-exp_binary64_5105`
3×	`sqrt-pow1_binary64_5084` `*-commutative_binary64_4997`
2×	`pow-sqr_binary64_5039` `pow-prod-up_binary64_5136`
1×	`pow-plus_binary64_5129` `pow2_binary64_5147` `pow1/2_binary64_5146`

Counts

4 → 106

Calls

8 calls:

17.0ms	(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))
16.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
13.0ms	(.f64 (fabs.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))) (sqrt.f64 (.f64 x (.f64 x 3))))
7.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
0.0ms	(.f64 x (.f64 x 3))

series460.0ms (6.8%)

Counts

4 → 9

Calls

4 calls:

286.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
114.0ms	(.f64 (fabs.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))) (sqrt.f64 (.f64 x (.f64 x 3))))
60.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
0.0ms	(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))

Compiler

Compiled 302 to 278 computations (7.9% saved)

simplify182.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	5005	1415

prune324.0ms (4.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	115	7	122

Error

0.0b

Counts

122 → 7

Compiler

Compiled 2562 to 2218 computations (13.4% saved)

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	174	550
1	174	550

regimes94.0ms (1.4%)

Accuracy

Total 0.2b remaining (97%)

Threshold costs 0.2b (97%)

Compiler

Compiled 352 to 297 computations (15.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample3.8s (56.2%)

Algorithm

1×

intervals

Results

253.0ms

8000×

body

128

valid

Compiler

Compiled 1056 to 891 computations (15.6% saved)

Pareto

0.7358814054173728

Details

analyze6.0ms (0.1%)

sample15.0ms (0.2%)

simplify169.0ms (2.5%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite12.0ms (0.2%)

series42.0ms (0.6%)

simplify148.0ms (2.2%)

prune53.0ms (0.8%)

localize13.0ms (0.2%)

rewrite71.0ms (1.1%)

series271.0ms (4%)

simplify118.0ms (1.7%)

prune221.0ms (3.3%)

localize23.0ms (0.3%)

rewrite47.0ms (0.7%)

series241.0ms (3.5%)

simplify149.0ms (2.2%)

prune155.0ms (2.3%)

localize30.0ms (0.4%)

rewrite87.0ms (1.3%)

series460.0ms (6.8%)

simplify182.0ms (2.7%)

prune324.0ms (4.8%)

simplify23.0ms (0.3%)

regimes94.0ms (1.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.8s (56.2%)

Profiling