Details

analyze507.0ms (19.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	423	40
1	423	40
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
18.7%	81.1%	0.1%	7
37.4%	62.4%	0.1%	8
46.8%	46.8%	6.4%	9
54.6%	39%	6.4%	10
62.8%	30.8%	6.4%	11
66.9%	23.6%	9.5%	12
71.7%	18.8%	9.5%	13
75.3%	15.2%	9.5%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample15.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify16.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	209	10
1	209	10

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

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 (.f64 x 3) y)

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_19576` `add-cbrt-cube_binary64_19551` `add-exp-log_binary64_19553`
3×	`cbrt-unprod_binary64_19548` `prod-exp_binary64_19564` `pow-prod-down_binary64_19586` `associate-r_binary64_19455`
2×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537` `*-un-lft-identity_binary64_19515`
1×	`associate-l_binary64_19456` `add-log-exp_binary64_19554` `*-commutative_binary64_19446`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series16.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify63.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5268	179

prune21.0ms (0.8%)

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

0.0b

Counts

22 → 6

Compiler

Compiled 271 to 191 computations (29.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.4b	(.f64 x (.f64 3 y))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_19576` `add-cbrt-cube_binary64_19551` `add-exp-log_binary64_19553`
3×	`associate-l_binary64_19456` `cbrt-unprod_binary64_19548` `prod-exp_binary64_19564` `pow-prod-down_binary64_19586`
2×	`add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537` `*-un-lft-identity_binary64_19515`
1×	`add-log-exp_binary64_19554` `-commutative_binary64_19446` `associate-r*_binary64_19455`

Counts

1 → 18

Calls

1 calls:

5.0ms

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

series16.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify61.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4889	177
1	4889	177

prune20.0ms (0.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

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

Error

0.0b

Counts

27 → 7

Compiler

Compiled 280 to 196 computations (30% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (*.f64 x 3) y)))
6.6b	(cbrt.f64 (.f64 (.f64 x 3) y))
6.6b	(cbrt.f64 (.f64 (.f64 x 3) y))
6.6b	(cbrt.f64 (.f64 (.f64 x 3) y))

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_19576`
10×	`add-sqr-sqrt_binary64_19537`
9×	`pow1/3_binary64_19597`
8×	`add-cube-cbrt_binary64_19550` `*-un-lft-identity_binary64_19515`
7×	`cbrt-prod_binary64_19546`
6×	`add-exp-log_binary64_19553`
4×	`associate-l_binary64_19456` `swap-sqr_binary64_19482` `add-log-exp_binary64_19554` `add-cbrt-cube_binary64_19551` `associate-r_binary64_19455`
2×	`pow-sqr_binary64_19488` `pow-prod-up_binary64_19585` `pow-prod-down_binary64_19586`
1×	`cbrt-unprod_binary64_19548` `pow-plus_binary64_19578` `*-commutative_binary64_19446` `prod-exp_binary64_19564` `unswap-sqr_binary64_19483` `pow2_binary64_19596`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (*.f64 x 3) y)))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))

series335.0ms (13.1%)

Counts

4 → 12

Calls

4 calls:

105.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (*.f64 x 3) y)))
78.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
77.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
76.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))

simplify53.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5246	741

prune88.0ms (3.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	70	7	77

Error

Counts

77 → 7

Compiler

Compiled 1681 to 1181 computations (29.7% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

6.6b	(cbrt.f64 (.f64 (.f64 x 3) y))
6.6b	(cbrt.f64 (.f64 (.f64 x 3) y))
6.6b	(cbrt.f64 (.f64 (.f64 x 3) y))
6.6b	(cbrt.f64 (.f64 (.f64 x 3) y))

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1/3_binary64_19597` `add-cube-cbrt_binary64_19550` `add-sqr-sqrt_binary64_19537` `pow1_binary64_19576` `add-log-exp_binary64_19554` `add-cbrt-cube_binary64_19551` `cbrt-prod_binary64_19546` `*-un-lft-identity_binary64_19515` `add-exp-log_binary64_19553`

Counts

4 → 36

Calls

4 calls:

4.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))

series315.0ms (12.3%)

Counts

4 → 12

Calls

4 calls:

81.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
81.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
78.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
76.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))

simplify77.0ms (3%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4841	512
1	4841	512

prune80.0ms (3.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	48	7	55

Error

Counts

55 → 7

Compiler

Compiled 1740 to 1262 computations (27.5% saved)

regimes134.0ms (5.2%)

Accuracy

Total 0.2b remaining (93.7%)

Threshold costs 0.2b (93.7%)

Compiler

Compiled 1038 to 900 computations (13.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample657.0ms (25.6%)

Algorithm

1×

intervals

Results

207.0ms	8000×	body	128	valid
7.0ms	300×	body	128	invalid

Compiler

Compiled 189 to 166 computations (12.2% saved)

Details

analyze507.0ms (19.8%)

sample15.0ms (0.6%)

simplify16.0ms (0.6%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite6.0ms (0.2%)

series16.0ms (0.6%)

simplify63.0ms (2.5%)

prune21.0ms (0.8%)

localize5.0ms (0.2%)

rewrite6.0ms (0.2%)

series16.0ms (0.6%)

simplify61.0ms (2.4%)

prune20.0ms (0.8%)

localize9.0ms (0.3%)

rewrite22.0ms (0.8%)

series335.0ms (13.1%)

simplify53.0ms (2.1%)

prune88.0ms (3.4%)

localize13.0ms (0.5%)

rewrite18.0ms (0.7%)

series315.0ms (12.3%)

simplify77.0ms (3%)

prune80.0ms (3.1%)

regimes134.0ms (5.2%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample657.0ms (25.6%)

Profiling