Details

analyze213.0ms (9.1%)

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
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)

sample14.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	13×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify97.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

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 2 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 x 3) y) z)
0.2b	(.f64 (.f64 x 3) y)

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_19917` `add-cbrt-cube_binary64_19892` `add-exp-log_binary64_19894`
4×	`add-cube-cbrt_binary64_19891` `add-sqr-sqrt_binary64_19878` `*-un-lft-identity_binary64_19856` `add-log-exp_binary64_19895`
3×	`prod-exp_binary64_19905` `cancel-sign-sub-inv_binary64_19822` `associate-r_binary64_19796` `pow-prod-down_binary64_19927` `cbrt-unprod_binary64_19889`
1×	`flip3--_binary64_19860` `-commutative_binary64_19787` `sub-neg_binary64_19849` `diff-log_binary64_19948` `flip--_binary64_19831` `associate-l*_binary64_19797`

Counts

2 → 32

Calls

2 calls:

9.0ms	(.f64 (.f64 x 3) y)
5.0ms	(-.f64 (.f64 (.f64 x 3) y) z)

series42.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

26.0ms	(-.f64 (.f64 (.f64 x 3) y) z)
16.0ms	(.f64 (.f64 x 3) y)

simplify73.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4873	402
1	4873	402

prune34.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	34	4	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	5	39

Error

0.0b

Counts

39 → 5

Compiler

Compiled 454 to 297 computations (34.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x (.f64 3 y)) z)
0.2b	(.f64 x (.f64 3 y))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_19917` `add-cbrt-cube_binary64_19892` `add-exp-log_binary64_19894`
4×	`add-cube-cbrt_binary64_19891` `add-sqr-sqrt_binary64_19878` `*-un-lft-identity_binary64_19856` `add-log-exp_binary64_19895`
3×	`prod-exp_binary64_19905` `cancel-sign-sub-inv_binary64_19822` `pow-prod-down_binary64_19927` `cbrt-unprod_binary64_19889` `associate-l_binary64_19797`
1×	`flip3--_binary64_19860` `-commutative_binary64_19787` `sub-neg_binary64_19849` `diff-log_binary64_19948` `associate-r*_binary64_19796` `flip--_binary64_19831`

Counts

2 → 32

Calls

2 calls:

6.0ms	(-.f64 (.f64 x (.f64 3 y)) z)
5.0ms	(.f64 x (.f64 3 y))

series42.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

26.0ms	(-.f64 (.f64 x (.f64 3 y)) z)
16.0ms	(.f64 x (.f64 3 y))

simplify64.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4977	400
1	4977	400

prune28.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	38	5	43

Error

0.0b

Counts

43 → 5

Compiler

Compiled 449 to 292 computations (35% saved)

localize10.0ms (0.4%)

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)

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_19887`
23×	`add-sqr-sqrt_binary64_19878`
15×	`add-cube-cbrt_binary64_19891` `*-un-lft-identity_binary64_19856`
11×	`pow1_binary64_19917`
9×	`pow1/3_binary64_19938`
6×	`swap-sqr_binary64_19823` `associate-r_binary64_19796` `add-exp-log_binary64_19894` `associate-l_binary64_19797`
4×	`unswap-sqr_binary64_19824` `add-cbrt-cube_binary64_19892` `add-log-exp_binary64_19895`
2×	`pow-prod-up_binary64_19926` `pow-prod-down_binary64_19927` `pow-sqr_binary64_19829`
1×	`*-commutative_binary64_19787` `prod-exp_binary64_19905` `pow-plus_binary64_19919` `cbrt-unprod_binary64_19889` `pow2_binary64_19937`

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)

series347.0ms (14.9%)

Counts

4 → 12

Calls

4 calls:

103.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
85.0ms	(cbrt.f64 y)
82.0ms	(cbrt.f64 y)
77.0ms	(cbrt.f64 y)

simplify62.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune68.0ms (2.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	84	6	90

Error

0.0b

Counts

90 → 6

Compiler

Compiled 1453 to 690 computations (52.5% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (.f64 x 3) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
0.4b	(.f64 (.f64 x 3) (cbrt.f64 (*.f64 y y)))
0.6b	(cbrt.f64 y)
28.3b	(cbrt.f64 (*.f64 y y))

rewrite24.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary64_19917` `add-exp-log_binary64_19894`
11×	`add-cbrt-cube_binary64_19892`
10×	`associate-r_binary64_19796`
9×	`prod-exp_binary64_19905` `pow-prod-down_binary64_19927` `cbrt-unprod_binary64_19889`
8×	`add-cube-cbrt_binary64_19891` `add-sqr-sqrt_binary64_19878` `*-un-lft-identity_binary64_19856` `cbrt-prod_binary64_19887`
4×	`add-log-exp_binary64_19895`
2×	`-commutative_binary64_19787` `pow1/3_binary64_19938` `associate-l*_binary64_19797`

Counts

4 → 63

Calls

4 calls:

9.0ms	(.f64 (.f64 (.f64 x 3) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
6.0ms	(.f64 (.f64 x 3) (cbrt.f64 (*.f64 y y)))
2.0ms	(cbrt.f64 (*.f64 y y))
1.0ms	(cbrt.f64 y)

series261.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt.f64 y)
83.0ms	(cbrt.f64 (*.f64 y y))
63.0ms	(.f64 (.f64 x 3) (cbrt.f64 (*.f64 y y)))
25.0ms	(.f64 (.f64 (.f64 x 3) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))

simplify78.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4866	686
1	4866	686

prune57.0ms (2.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	1	2
Picked	1	0	1
Done	0	3	3
Total	76	5	81

Error

Counts

81 → 5

Compiler

Compiled 1069 to 596 computations (44.2% saved)

regimes160.0ms (6.9%)

Accuracy

Total 0.1b remaining (94.9%)

Threshold costs 0.1b (94.9%)

Compiler

Compiled 1026 to 946 computations (7.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms (0%)

sample585.0ms (25.1%)

Algorithm

1×

intervals

Results

204.0ms	8000×	body	128	valid
7.0ms	293×	body	128	invalid

Compiler

Compiled 149 to 138 computations (7.4% saved)

Details

analyze213.0ms (9.1%)

sample14.0ms (0.6%)

simplify97.0ms (4.2%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite16.0ms (0.7%)

series42.0ms (1.8%)

simplify73.0ms (3.2%)

prune34.0ms (1.5%)

localize6.0ms (0.2%)

rewrite13.0ms (0.5%)

series42.0ms (1.8%)

simplify64.0ms (2.8%)

prune28.0ms (1.2%)

localize10.0ms (0.4%)

rewrite15.0ms (0.6%)

series347.0ms (14.9%)

simplify62.0ms (2.7%)

prune68.0ms (2.9%)

localize10.0ms (0.4%)

rewrite24.0ms (1%)

series261.0ms (11.2%)

simplify78.0ms (3.4%)

prune57.0ms (2.4%)

regimes160.0ms (6.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample585.0ms (25.1%)

Profiling