Details

analyze179.0ms (4.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7
0	1	1
1	1	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 (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune4.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_6959` `add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
3×	`associate-r_binary64_6838` `prod-exp_binary64_6947` `cbrt-unprod_binary64_6931` `pow-prod-down_binary64_6969`
2×	`add-cube-cbrt_binary64_6933` `add-sqr-sqrt_binary64_6920` `*-un-lft-identity_binary64_6898`
1×	`add-log-exp_binary64_6937` `-commutative_binary64_6829` `associate-l*_binary64_6839`

Counts

1 → 18

Calls

1 calls:

10.0ms

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

series45.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

45.0ms

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

Compiler

Compiled 30 to 30 computations (0% saved)

simplify116.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4931	168
1	4931	168

prune39.0ms (1%)

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

0.1b

Counts

22 → 6

Compiler

Compiled 216 to 154 computations (28.7% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 x 3))
0.4b	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
19.9b	(sqrt.f64 (.f64 x (.f64 x 3)))
19.9b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite64.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

148×	`pow1_binary64_6959`
80×	`pow-prod-down_binary64_6969`
66×	`sqrt-pow1_binary64_6916`
17×	`pow-prod-up_binary64_6968`
14×	`pow1/2_binary64_6978`
11×	`pow-sqr_binary64_6871` `add-exp-log_binary64_6936` `add-sqr-sqrt_binary64_6920` `add-cbrt-cube_binary64_6934`
9×	`add-cube-cbrt_binary64_6933` `*-un-lft-identity_binary64_6898`
7×	`associate-l_binary64_6839`
6×	`sqrt-prod_binary64_6914`
5×	`associate-r_binary64_6838`
4×	`swap-sqr_binary64_6865` `prod-exp_binary64_6947` `add-log-exp_binary64_6937` `cbrt-unprod_binary64_6931`
2×	`*-commutative_binary64_6829`
1×	`pow2_binary64_6979` `sqrt-unprod_binary64_6918` `unswap-sqr_binary64_6866` `pow-plus_binary64_6961` `rem-square-sqrt_binary64_6910`

Counts

4 → 108

Calls

4 calls:

23.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
9.0ms	(.f64 x (.f64 x 3))
7.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
7.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

series243.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
58.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
54.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
47.0ms	(.f64 x (.f64 x 3))

Compiler

Compiled 266 to 230 computations (13.5% saved)

simplify104.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4926	737
1	4926	737

prune174.0ms (4.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	119	7	126

Error

0.0b

Counts

126 → 7

Compiler

Compiled 1429 to 1075 computations (24.8% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 x 3))
0.4b	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
0.4b	(*.f64 x (sqrt.f64 3))
19.9b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite53.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1_binary64_6959`
16×	`add-sqr-sqrt_binary64_6920`
13×	`add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
11×	`associate-r_binary64_6838`
10×	`add-cube-cbrt_binary64_6933` `*-un-lft-identity_binary64_6898`
9×	`associate-l_binary64_6839`
8×	`pow-prod-down_binary64_6969`
6×	`sqrt-prod_binary64_6914`
5×	`prod-exp_binary64_6947` `cbrt-unprod_binary64_6931`
4×	`add-log-exp_binary64_6937`
3×	`sqrt-pow1_binary64_6916` `unswap-sqr_binary64_6866` `*-commutative_binary64_6829`
1×	`pow1/2_binary64_6978`

Counts

4 → 71

Calls

4 calls:

14.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
10.0ms	(*.f64 x (sqrt.f64 3))
9.0ms	(.f64 x (.f64 x 3))
7.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

series245.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

94.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
52.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
51.0ms	(*.f64 x (sqrt.f64 3))
47.0ms	(.f64 x (.f64 x 3))

Compiler

Compiled 272 to 242 computations (11% saved)

simplify135.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	5158	755

prune145.0ms (3.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	83	7	90

Error

0.0b

Counts

90 → 7

Compiler

Compiled 1243 to 974 computations (21.6% saved)

localize24.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
0.4b	(.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)))
19.9b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite84.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_6920`
40×	`cbrt-prod_binary64_6929`
24×	`pow1_binary64_6959`
22×	`sqrt-prod_binary64_6914`
19×	`add-cube-cbrt_binary64_6933` `*-un-lft-identity_binary64_6898`
15×	`associate-l_binary64_6839`
14×	`associate-r_binary64_6838`
13×	`add-exp-log_binary64_6936`
11×	`swap-sqr_binary64_6865` `unswap-sqr_binary64_6866`
9×	`add-cbrt-cube_binary64_6934` `pow-prod-down_binary64_6969`
6×	`pow1/3_binary64_6980`
5×	`prod-exp_binary64_6947` `cbrt-unprod_binary64_6931`
4×	`add-log-exp_binary64_6937`
3×	`sqrt-pow1_binary64_6916` `*-commutative_binary64_6829`
2×	`pow-sqr_binary64_6871` `pow-prod-up_binary64_6968`
1×	`pow2_binary64_6979` `pow-plus_binary64_6961` `pow1/2_binary64_6978`

Counts

4 → 106

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))
19.0ms	(.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))))
17.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
8.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

series382.0ms (10%)

Counts

4 → 9

Calls

4 calls:

217.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
110.0ms	(.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))))
54.0ms	(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)

simplify144.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5005	1415

prune274.0ms (7.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	114	8	122

Error

0.0b

Counts

122 → 8

Compiler

Compiled 2562 to 2218 computations (13.4% saved)

regimes138.0ms (3.6%)

Accuracy

Total 0.2b remaining (96.6%)

Threshold costs 0.2b (96.6%)

Compiler

Compiled 646 to 552 computations (14.6% 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%)

sample1.1s (29.9%)

Algorithm

1×

intervals

Results

215.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 328 to 281 computations (14.3% saved)

Details

analyze179.0ms (4.7%)

sample15.0ms (0.4%)

simplify14.0ms (0.4%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

rewrite12.0ms (0.3%)

series45.0ms (1.2%)

simplify116.0ms (3.1%)

prune39.0ms (1%)

localize11.0ms (0.3%)

rewrite64.0ms (1.7%)

series243.0ms (6.4%)

simplify104.0ms (2.7%)

prune174.0ms (4.6%)

localize16.0ms (0.4%)

rewrite53.0ms (1.4%)

series245.0ms (6.4%)

simplify135.0ms (3.5%)

prune145.0ms (3.8%)

localize24.0ms (0.6%)

rewrite84.0ms (2.2%)

series382.0ms (10%)

simplify144.0ms (3.8%)

prune274.0ms (7.2%)

regimes138.0ms (3.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (29.9%)

Profiling