Details

analyze134.0ms (6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	14
1	16	14
0	2	2
1	2	2

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)

sample11.0ms (0.5%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

prune2.0ms (0.1%)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_6593` `pow1_binary64_6618` `add-exp-log_binary64_6595`
3×	`associate-r_binary64_6497` `pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590`
2×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
1×	`-commutative_binary64_6488` `associate-l*_binary64_6498` `add-log-exp_binary64_6596`

Counts

1 → 18

Calls

1 calls:

10.0ms

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

series17.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify57.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4888	179
1	4888	179

prune19.0ms (0.9%)

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

0.0b

Counts

22 → 5

Compiler

Compiled 210 to 146 computations (30.5% saved)

localize4.0ms (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×	`add-cbrt-cube_binary64_6593` `pow1_binary64_6618` `add-exp-log_binary64_6595`
3×	`pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `associate-l_binary64_6498` `cbrt-unprod_binary64_6590`
2×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
1×	`-commutative_binary64_6488` `associate-r*_binary64_6497` `add-log-exp_binary64_6596`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series16.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify59.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4915	177
1	4915	177

prune198.0ms (8.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	19	7	26

Error

0.0b

Counts

26 → 7

Compiler

Compiled 228 to 158 computations (30.7% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6588`
23×	`add-sqr-sqrt_binary64_6579`
15×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
11×	`pow1_binary64_6618`
9×	`pow1/3_binary64_6639`
6×	`associate-r_binary64_6497` `add-exp-log_binary64_6595` `associate-l_binary64_6498` `swap-sqr_binary64_6524`
4×	`add-cbrt-cube_binary64_6593` `unswap-sqr_binary64_6525` `add-log-exp_binary64_6596`
2×	`pow-prod-down_binary64_6628` `pow-sqr_binary64_6530` `pow-prod-up_binary64_6627`
1×	`*-commutative_binary64_6488` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `pow-plus_binary64_6620` `pow2_binary64_6638`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series340.0ms (15.3%)

Counts

4 → 12

Calls

4 calls:

105.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
80.0ms	(cbrt.f64 y)
77.0ms	(cbrt.f64 y)
77.0ms	(cbrt.f64 y)

simplify66.0ms (3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune64.0ms (2.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Error

0.0b

Counts

92 → 7

Compiler

Compiled 1294 to 609 computations (52.9% saved)

localize8.0ms (0.3%)

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)))
9.0b	(cbrt.f64 (.f64 (.f64 x 27) y))
9.0b	(cbrt.f64 (.f64 (.f64 x 27) y))
9.0b	(cbrt.f64 (.f64 (.f64 x 27) y))

rewrite21.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_6618`
10×	`add-sqr-sqrt_binary64_6579`
9×	`pow1/3_binary64_6639`
8×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
7×	`cbrt-prod_binary64_6588`
6×	`add-exp-log_binary64_6595`
4×	`associate-r_binary64_6497` `add-cbrt-cube_binary64_6593` `associate-l_binary64_6498` `add-log-exp_binary64_6596` `swap-sqr_binary64_6524`
2×	`pow-prod-down_binary64_6628` `pow-sqr_binary64_6530` `pow-prod-up_binary64_6627`
1×	`*-commutative_binary64_6488` `unswap-sqr_binary64_6525` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `pow-plus_binary64_6620` `pow2_binary64_6638`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) (cbrt.f64 (.f64 (*.f64 x 27) y)))
4.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))

series306.0ms (13.8%)

Counts

4 → 12

Calls

4 calls:

97.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 27) y)) (cbrt.f64 (.f64 (*.f64 x 27) y)))
73.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
71.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))
66.0ms	(cbrt.f64 (.f64 (.f64 x 27) y))

simplify85.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5483	708

prune73.0ms (3.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	67	10	77

Error

0.0b

Counts

77 → 10

Compiler

Compiled 1452 to 1031 computations (29% saved)

regimes109.0ms (4.9%)

Accuracy

Total 0.3b remaining (93.6%)

Threshold costs 0.3b (93.6%)

Compiler

Compiled 944 to 774 computations (18% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

Compiler

Compiled 10 to 10 computations (0% saved)

end0.0ms (0%)

sample586.0ms (26.3%)

Algorithm

1×

intervals

Results

150.0ms	8000×	body	128	valid
2.0ms	86×	body	128	invalid

Compiler

Compiled 242 to 200 computations (17.4% saved)

Details

analyze134.0ms (6%)

sample11.0ms (0.5%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite11.0ms (0.5%)

series17.0ms (0.8%)

simplify57.0ms (2.5%)

prune19.0ms (0.9%)

localize4.0ms (0.2%)

rewrite6.0ms (0.3%)

series16.0ms (0.7%)

simplify59.0ms (2.7%)

prune198.0ms (8.9%)

localize7.0ms (0.3%)

rewrite14.0ms (0.6%)

series340.0ms (15.3%)

simplify66.0ms (3%)

prune64.0ms (2.9%)

localize8.0ms (0.3%)

rewrite21.0ms (1%)

series306.0ms (13.8%)

simplify85.0ms (3.8%)

prune73.0ms (3.3%)

regimes109.0ms (4.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample586.0ms (26.3%)

Profiling