Details

analyze53.0ms (2.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample10.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify13.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.5b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.5b	(.f64 (.f64 x 27) y)

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (*.f64 x 27) y)

series4.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(*.f64 (*.f64 x 27) y)

simplify92.0ms (5%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4910	179
1	4910	179

prune24.0ms (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: 0.0b

Counts

22 → 6

Compiler

Compiled 219 to 157 computations (28.3% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 x (.f64 27 y))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`add-log-exp_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 x (*.f64 27 y))

series4.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(*.f64 x (*.f64 27 y))

simplify71.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4926	177
1	4926	177

prune19.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	20	7	27

Merged error: 0.0b

Counts

27 → 7

Compiler

Compiled 228 to 162 computations (28.9% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite17.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

series89.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt.f64 x)
24.0ms	(cbrt.f64 x)
22.0ms	(cbrt.f64 x)
18.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))

simplify78.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4942	588
1	4942	588

prune59.0ms (3.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	83	9	92

Merged error: 0.0b

Counts

92 → 9

Compiler

Compiled 1344 to 644 computations (52.1% saved)

localize14.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) (cbrt.f64 (.f64 (*.f64 x 27) y)))
6.7b	(cbrt.f64 (.f64 (.f64 x 27) y))
6.7b	(cbrt.f64 (.f64 (.f64 x 27) y))
6.7b	(cbrt.f64 (.f64 (.f64 x 27) y))

rewrite35.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) (cbrt.f64 (.f64 (*.f64 x 27) y)))
7.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
7.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
7.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))

series97.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
25.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) (cbrt.f64 (.f64 (*.f64 x 27) y)))
25.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
18.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))

simplify84.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5451	724

prune53.0ms (2.9%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	69	10	79

Merged error: 0.0b

Counts

79 → 10

Compiler

Compiled 1462 to 1039 computations (28.9% saved)

regimes200.0ms (10.9%)

Compiler: Compiled 730 to 602 computations (17.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample785.0ms (42.8%)

Algorithm

1×

intervals

Results

147.0ms	8000×	body	80	valid
1.0ms	80×	body	80	invalid

Compiler

Compiled 154 to 127 computations (17.5% saved)

Details

analyze53.0ms (2.9%)

sample10.0ms (0.5%)

simplify13.0ms (0.7%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

rewrite6.0ms (0.3%)

series4.0ms (0.2%)

simplify92.0ms (5%)

prune24.0ms (1.3%)

localize3.0ms (0.2%)

rewrite6.0ms (0.3%)

series4.0ms (0.2%)

simplify71.0ms (3.9%)

prune19.0ms (1%)

localize9.0ms (0.5%)

rewrite17.0ms (1%)

series89.0ms (4.8%)

simplify78.0ms (4.2%)

prune59.0ms (3.2%)

localize14.0ms (0.8%)

rewrite35.0ms (1.9%)

series97.0ms (5.3%)

simplify84.0ms (4.6%)

prune53.0ms (2.9%)

regimes200.0ms (10.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample785.0ms (42.8%)

Profiling