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)

sample8.0ms (0.3%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify127.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune3.0ms (0.2%)

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)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572` `pow1_binary64_5595`
3×	`cbrt-unprod_binary64_5567` `associate-r_binary64_5474` `prod-exp_binary64_5583` `pow-prod-down_binary64_5605`
2×	`*-un-lft-identity_binary64_5534` `add-sqr-sqrt_binary64_5556` `add-cube-cbrt_binary64_5569`
1×	`associate-l_binary64_5475` `*-commutative_binary64_5465` `add-log-exp_binary64_5573`

Counts

1 → 18

Calls

1 calls:

11.0ms

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

series35.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify73.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4931	168
1	4931	168

prune29.0ms (1.3%)

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)

localize6.0ms (0.2%)

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))))
19.8b	(sqrt.f64 (.f64 x (.f64 x 3)))
19.8b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite33.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

148×	`pow1_binary64_5595`
80×	`pow-prod-down_binary64_5605`
66×	`sqrt-pow1_binary64_5552`
17×	`pow-prod-up_binary64_5604`
14×	`pow1/2_binary64_5614`
11×	`add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572` `pow-sqr_binary64_5507` `add-sqr-sqrt_binary64_5556`
9×	`*-un-lft-identity_binary64_5534` `add-cube-cbrt_binary64_5569`
7×	`associate-l_binary64_5475`
6×	`sqrt-prod_binary64_5550`
5×	`associate-r_binary64_5474`
4×	`cbrt-unprod_binary64_5567` `swap-sqr_binary64_5501` `add-log-exp_binary64_5573` `prod-exp_binary64_5583`
2×	`*-commutative_binary64_5465`
1×	`pow-plus_binary64_5597` `pow2_binary64_5615` `unswap-sqr_binary64_5502` `rem-square-sqrt_binary64_5546` `sqrt-unprod_binary64_5554`

Counts

4 → 108

Calls

4 calls:

12.0ms	(.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)))
3.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

series146.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
39.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
37.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
18.0ms	(.f64 x (.f64 x 3))

simplify68.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4926	737
1	4926	737

prune107.0ms (4.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	113	7	120
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	116	10	126

Merged error: 0.0b

Counts

126 → 10

Compiler

Compiled 1480 to 1115 computations (24.7% saved)

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

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))
19.8b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite26.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1_binary64_5595`
16×	`add-sqr-sqrt_binary64_5556`
13×	`add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572`
11×	`associate-r_binary64_5474`
10×	`*-un-lft-identity_binary64_5534` `add-cube-cbrt_binary64_5569`
9×	`associate-l_binary64_5475`
8×	`pow-prod-down_binary64_5605`
6×	`sqrt-prod_binary64_5550`
5×	`cbrt-unprod_binary64_5567` `prod-exp_binary64_5583`
4×	`add-log-exp_binary64_5573`
3×	`*-commutative_binary64_5465` `sqrt-pow1_binary64_5552` `unswap-sqr_binary64_5502`
1×	`pow1/2_binary64_5614`

Counts

4 → 71

Calls

4 calls:

7.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
5.0ms	(.f64 x (.f64 x 3))
5.0ms	(*.f64 x (sqrt.f64 3))
4.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))

series131.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
30.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
26.0ms	(*.f64 x (sqrt.f64 3))
17.0ms	(.f64 x (.f64 x 3))

simplify76.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5158	755

prune98.0ms (4.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

Compiler

Compiled 1286 to 1005 computations (21.9% saved)

localize5.0ms (0.2%)

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

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_5556`
15×	`associate-r_binary64_5474`
14×	`pow1_binary64_5595`
13×	`*-un-lft-identity_binary64_5534` `add-cube-cbrt_binary64_5569`
9×	`associate-l_binary64_5475` `add-cbrt-cube_binary64_5570` `add-exp-log_binary64_5572`
8×	`sqrt-prod_binary64_5550`
5×	`unswap-sqr_binary64_5502`
3×	`cbrt-unprod_binary64_5567` `swap-sqr_binary64_5501` `*-commutative_binary64_5465` `add-log-exp_binary64_5573` `prod-exp_binary64_5583` `pow-prod-down_binary64_5605`
1×	`pow-plus_binary64_5597` `sqr-abs_binary64_5549` `pow2_binary64_5615` `pow-sqr_binary64_5507` `pow-prod-up_binary64_5604`

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))))

series88.0ms (4%)

Counts

3 → 9

Calls

3 calls:

38.0ms	(*.f64 x (sqrt.f64 3))
26.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (fabs.f64 (*.f64 x (sqrt.f64 3))))
23.0ms	(*.f64 x (sqrt.f64 3))

simplify88.0ms (4%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4925	657
1	4925	657

prune99.0ms (4.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	7	7
Picked	1	0	1
Done	0	2	2
Total	79	10	89

Merged error: 0b

Counts

89 → 10

Compiler

Compiled 1018 to 831 computations (18.4% saved)

regimes85.0ms (3.8%)

Compiler: Compiled 748 to 632 computations (15.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample827.0ms (37.3%)

Algorithm

1×

intervals

Results

148.0ms

8000×

body

128

valid

Compiler

Compiled 379 to 321 computations (15.3% saved)

Details

analyze3.0ms (0.1%)

sample8.0ms (0.3%)

simplify127.0ms (5.7%)

prune3.0ms (0.2%)

localize6.0ms (0.3%)

rewrite13.0ms (0.6%)

series35.0ms (1.6%)

simplify73.0ms (3.3%)

prune29.0ms (1.3%)

localize6.0ms (0.2%)

rewrite33.0ms (1.5%)

series146.0ms (6.6%)

simplify68.0ms (3.1%)

prune107.0ms (4.8%)

localize14.0ms (0.6%)

rewrite26.0ms (1.2%)

series131.0ms (5.9%)

simplify76.0ms (3.4%)

prune98.0ms (4.4%)

localize5.0ms (0.2%)

rewrite19.0ms (0.8%)

series88.0ms (4%)

simplify88.0ms (4%)

prune99.0ms (4.5%)

regimes85.0ms (3.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample827.0ms (37.3%)

Profiling