Details

analyze3.0ms (0.2%)

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 (0.4%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify97.0ms (4.8%)

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_7277` `pow1_binary64_7300` `add-cbrt-cube_binary64_7275`
3×	`cbrt-unprod_binary64_7272` `pow-prod-down_binary64_7310` `prod-exp_binary64_7288` `associate-r_binary64_7179`
2×	`*-un-lft-identity_binary64_7239` `add-sqr-sqrt_binary64_7261` `add-cube-cbrt_binary64_7274`
1×	`add-log-exp_binary64_7278` `-commutative_binary64_7170` `associate-l*_binary64_7180`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series19.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify62.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4931	168
1	4931	168

prune18.0ms (0.9%)

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

Merged error: 0.1b

Counts

22 → 6

Compiler

Compiled 216 to 154 computations (28.7% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 x 3))
0.3b	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
18.8b	(sqrt.f64 (.f64 x (.f64 x 3)))
18.8b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite33.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

148×	`pow1_binary64_7300`
80×	`pow-prod-down_binary64_7310`
66×	`sqrt-pow1_binary64_7257`
17×	`pow-prod-up_binary64_7309`
14×	`pow1/2_binary64_7319`
11×	`add-exp-log_binary64_7277` `pow-sqr_binary64_7212` `add-cbrt-cube_binary64_7275` `add-sqr-sqrt_binary64_7261`
9×	`*-un-lft-identity_binary64_7239` `add-cube-cbrt_binary64_7274`
7×	`associate-l_binary64_7180`
6×	`sqrt-prod_binary64_7255`
5×	`associate-r_binary64_7179`
4×	`add-log-exp_binary64_7278` `cbrt-unprod_binary64_7272` `swap-sqr_binary64_7206` `prod-exp_binary64_7288`
2×	`*-commutative_binary64_7170`
1×	`pow2_binary64_7320` `sqrt-unprod_binary64_7259` `unswap-sqr_binary64_7207` `rem-square-sqrt_binary64_7251` `pow-plus_binary64_7302`

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)))

series108.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
22.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
21.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
19.0ms	(.f64 x (.f64 x 3))

simplify58.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4926	737
1	4926	737

prune98.0ms (4.8%)

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

Merged error: 0.0b

Counts

126 → 7

Compiler

Compiled 1442 to 1087 computations (24.6% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.3b	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (fabs.f64 (*.f64 x (sqrt.f64 3))))
0.3b	(*.f64 x (sqrt.f64 3))
0.3b	(*.f64 x (sqrt.f64 3))

rewrite19.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_7261`
15×	`associate-r_binary64_7179`
14×	`pow1_binary64_7300`
13×	`*-un-lft-identity_binary64_7239` `add-cube-cbrt_binary64_7274`
9×	`add-exp-log_binary64_7277` `add-cbrt-cube_binary64_7275` `associate-l_binary64_7180`
8×	`sqrt-prod_binary64_7255`
5×	`unswap-sqr_binary64_7207`
3×	`add-log-exp_binary64_7278` `cbrt-unprod_binary64_7272` `pow-prod-down_binary64_7310` `swap-sqr_binary64_7206` `*-commutative_binary64_7170` `prod-exp_binary64_7288`
1×	`pow2_binary64_7320` `sqr-abs_binary64_7254` `pow-sqr_binary64_7212` `pow-plus_binary64_7302` `pow-prod-up_binary64_7309`

Counts

3 → 70

Calls

3 calls:

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

series69.0ms (3.4%)

Counts

3 → 9

Calls

3 calls:

24.0ms	(*.f64 x (sqrt.f64 3))
24.0ms	(*.f64 x (sqrt.f64 3))
20.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (fabs.f64 (*.f64 x (sqrt.f64 3))))

simplify75.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4925	657
1	4925	657

prune80.0ms (4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	79	7	86

Merged error: 0b

Counts

86 → 7

Compiler

Compiled 1108 to 909 computations (18% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (fabs.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))))
0.3b	(*.f64 x (sqrt.f64 3))
0.4b	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
1.0b	(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))

rewrite37.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-sqr-sqrt_binary64_7261`
40×	`cbrt-prod_binary64_7270`
24×	`sqrt-prod_binary64_7255`
22×	`*-un-lft-identity_binary64_7239` `add-cube-cbrt_binary64_7274`
20×	`pow1_binary64_7300`
19×	`associate-r_binary64_7179`
18×	`associate-l_binary64_7180`
15×	`add-exp-log_binary64_7277`
13×	`unswap-sqr_binary64_7207`
11×	`swap-sqr_binary64_7206` `add-cbrt-cube_binary64_7275`
7×	`pow-prod-down_binary64_7310`
6×	`cbrt-unprod_binary64_7272` `pow1/3_binary64_7321` `prod-exp_binary64_7288`
4×	`add-log-exp_binary64_7278` `*-commutative_binary64_7170`
2×	`pow-sqr_binary64_7212` `pow-prod-up_binary64_7309`
1×	`pow2_binary64_7320` `pow-plus_binary64_7302`

Counts

4 → 115

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))
8.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
5.0ms	(*.f64 x (sqrt.f64 3))
4.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (fabs.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))))

series209.0ms (10.3%)

Counts

4 → 10

Calls

4 calls:

159.0ms	(.f64 x (.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))))
26.0ms	(*.f64 x (sqrt.f64 3))
23.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (fabs.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))))
0.0ms	(*.f64 (cbrt.f64 (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3)))

simplify90.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4943	1472
1	4943	1472

prune181.0ms (9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	126	6	132

Merged error: 0b

Counts

132 → 6

Compiler

Compiled 2712 to 2417 computations (10.9% saved)

regimes75.0ms (3.7%)

Compiler: Compiled 622 to 538 computations (13.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample643.0ms (31.8%)

Algorithm

1×

intervals

Results

140.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 316 to 274 computations (13.3% saved)

Details

analyze3.0ms (0.2%)

sample9.0ms (0.4%)

simplify97.0ms (4.8%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite6.0ms (0.3%)

series19.0ms (0.9%)

simplify62.0ms (3.1%)

prune18.0ms (0.9%)

localize8.0ms (0.4%)

rewrite33.0ms (1.6%)

series108.0ms (5.3%)

simplify58.0ms (2.9%)

prune98.0ms (4.8%)

localize6.0ms (0.3%)

rewrite19.0ms (0.9%)

series69.0ms (3.4%)

simplify75.0ms (3.7%)

prune80.0ms (4%)

localize11.0ms (0.5%)

rewrite37.0ms (1.9%)

series209.0ms (10.3%)

simplify90.0ms (4.5%)

prune181.0ms (9%)

regimes75.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample643.0ms (31.8%)

Profiling