Details

analyze3.0ms (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)

sample9.0ms (0.3%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify121.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune2.0ms (0.1%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x 3) x)

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `pow1_binary64_3890`
3×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `associate-r_binary64_3769` `cbrt-unprod_binary64_3862`
2×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
1×	`add-log-exp_binary64_3868` `-commutative_binary64_3760` `associate-l*_binary64_3770`

Counts

1 → 18

Calls

1 calls:

6.0ms

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

series19.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify76.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4931	168
1	4931	168

prune27.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Error

0.1b

Counts

22 → 5

Compiler

Compiled 210 to 148 computations (29.5% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (.f64 x 3))
0.3b	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
20.7b	(sqrt.f64 (.f64 x (.f64 x 3)))
20.7b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite35.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

148×	`pow1_binary64_3890`
80×	`pow-prod-down_binary64_3900`
66×	`sqrt-pow1_binary64_3847`
17×	`pow-prod-up_binary64_3899`
14×	`pow1/2_binary64_3909`
11×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `pow-sqr_binary64_3802` `add-sqr-sqrt_binary64_3851`
9×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
7×	`associate-l_binary64_3770`
6×	`sqrt-prod_binary64_3845`
5×	`associate-r_binary64_3769`
4×	`add-log-exp_binary64_3868` `prod-exp_binary64_3878` `swap-sqr_binary64_3796` `cbrt-unprod_binary64_3862`
2×	`*-commutative_binary64_3760`
1×	`unswap-sqr_binary64_3797` `rem-square-sqrt_binary64_3841` `pow-plus_binary64_3892` `pow2_binary64_3910` `sqrt-unprod_binary64_3849`

Counts

4 → 108

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
5.0ms	(.f64 x (.f64 x 3))
4.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
4.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

series125.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
35.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
30.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
17.0ms	(.f64 x (.f64 x 3))

simplify58.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4926	737
1	4926	737

prune168.0ms (6.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	114	6	120
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	117	8	125

Error

0.0b

Counts

125 → 8

Compiler

Compiled 1455 to 1098 computations (24.5% saved)

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(.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))
20.7b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite45.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1_binary64_3890`
16×	`add-sqr-sqrt_binary64_3851`
13×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
11×	`associate-r_binary64_3769`
10×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
9×	`associate-l_binary64_3770`
8×	`pow-prod-down_binary64_3900`
6×	`sqrt-prod_binary64_3845`
5×	`prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
4×	`add-log-exp_binary64_3868`
3×	`unswap-sqr_binary64_3797` `*-commutative_binary64_3760` `sqrt-pow1_binary64_3847`
1×	`pow1/2_binary64_3909`

Counts

4 → 71

Calls

4 calls:

12.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
9.0ms	(*.f64 x (sqrt.f64 3))
8.0ms	(.f64 x (.f64 x 3))
6.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

series144.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
34.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
32.0ms	(*.f64 x (sqrt.f64 3))
20.0ms	(.f64 x (.f64 x 3))

simplify75.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5158	755

prune92.0ms (3.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Error

0.0b

Counts

91 → 7

Compiler

Compiled 1245 to 978 computations (21.4% saved)

localize18.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x x) 3)
0.3b	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 (.f64 x x) 3)))
0.4b	(*.f64 x (sqrt.f64 3))
20.7b	(sqrt.f64 (.f64 (.f64 x x) 3))

rewrite56.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1_binary64_3890`
17×	`add-sqr-sqrt_binary64_3851`
13×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `associate-r_binary64_3769`
10×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
8×	`pow-prod-down_binary64_3900`
7×	`associate-l_binary64_3770`
6×	`sqrt-prod_binary64_3845`
5×	`prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
4×	`add-log-exp_binary64_3868` `unswap-sqr_binary64_3797`
3×	`*-commutative_binary64_3760` `sqrt-pow1_binary64_3847`
1×	`pow1/2_binary64_3909`

Counts

4 → 72

Calls

4 calls:

15.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 (.f64 x x) 3)))
12.0ms	(.f64 (.f64 x x) 3)
11.0ms	(*.f64 x (sqrt.f64 3))
8.0ms	(sqrt.f64 (.f64 (.f64 x x) 3))

series183.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

79.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 (.f64 x x) 3)))
49.0ms	(*.f64 x (sqrt.f64 3))
38.0ms	(sqrt.f64 (.f64 (.f64 x x) 3))
17.0ms	(.f64 (.f64 x x) 3)

simplify106.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5126	768

prune97.0ms (3.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	4	4
Picked	0	1	1
Done	1	1	2
Total	84	7	91

Error

Counts

91 → 7

Compiler

Compiled 1186 to 873 computations (26.4% saved)

regimes140.0ms (5.1%)

Accuracy

Total 0.2b remaining (98.5%)

Threshold costs 0.2b (98.5%)

Compiler

Compiled 750 to 628 computations (16.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample1.1s (39.9%)

Algorithm

1×

intervals

Results

227.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 380 to 319 computations (16.1% saved)

Details

analyze3.0ms (0.1%)

sample9.0ms (0.3%)

simplify121.0ms (4.4%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite7.0ms (0.3%)

series19.0ms (0.7%)

simplify76.0ms (2.8%)

prune27.0ms (1%)

localize6.0ms (0.2%)

rewrite35.0ms (1.3%)

series125.0ms (4.6%)

simplify58.0ms (2.1%)

prune168.0ms (6.2%)

localize17.0ms (0.6%)

rewrite45.0ms (1.7%)

series144.0ms (5.3%)

simplify75.0ms (2.7%)

prune92.0ms (3.4%)

localize18.0ms (0.7%)

rewrite56.0ms (2.1%)

series183.0ms (6.7%)

simplify106.0ms (3.9%)

prune97.0ms (3.6%)

regimes140.0ms (5.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample1.1s (39.9%)

Profiling