Details

analyze321.0ms (7.8%)

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)

sample32.0ms (0.8%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
1.0ms	14×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify174.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	209	10
1	209	10

prune4.0ms (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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 x 3) y) z)
0.3b	(.f64 (.f64 x 3) y)

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_18869` `pow1_binary64_18894` `add-exp-log_binary64_18871`
4×	`add-log-exp_binary64_18872` `*-un-lft-identity_binary64_18833` `add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855`
3×	`pow-prod-down_binary64_18904` `cbrt-unprod_binary64_18866` `associate-r_binary64_18773` `prod-exp_binary64_18882` `cancel-sign-sub-inv_binary64_18799`
1×	`-commutative_binary64_18764` `diff-log_binary64_18925` `flip--_binary64_18808` `flip3--_binary64_18837` `associate-l*_binary64_18774` `sub-neg_binary64_18826`

Counts

2 → 32

Calls

2 calls:

8.0ms	(.f64 (.f64 x 3) y)
6.0ms	(-.f64 (.f64 (.f64 x 3) y) z)

series69.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

53.0ms	(-.f64 (.f64 (.f64 x 3) y) z)
16.0ms	(.f64 (.f64 x 3) y)

simplify123.0ms (3%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4873	402
1	4873	402

prune40.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	33	5	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	6	39

Merged error: 0.0b

Counts

39 → 6

Compiler

Compiled 485 to 321 computations (33.8% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x (.f64 3 y)) z)
0.5b	(.f64 x (.f64 3 y))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_18869` `pow1_binary64_18894` `add-exp-log_binary64_18871`
4×	`add-log-exp_binary64_18872` `*-un-lft-identity_binary64_18833` `add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855`
3×	`pow-prod-down_binary64_18904` `cbrt-unprod_binary64_18866` `prod-exp_binary64_18882` `associate-l_binary64_18774` `cancel-sign-sub-inv_binary64_18799`
1×	`-commutative_binary64_18764` `associate-r*_binary64_18773` `diff-log_binary64_18925` `flip--_binary64_18808` `flip3--_binary64_18837` `sub-neg_binary64_18826`

Counts

2 → 32

Calls

2 calls:

14.0ms	(-.f64 (.f64 x (.f64 3 y)) z)
10.0ms	(.f64 x (.f64 3 y))

series60.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(.f64 x (.f64 3 y))
29.0ms	(-.f64 (.f64 x (.f64 3 y)) z)

simplify102.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4977	400
1	4977	400

prune34.0ms (0.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	37	7	44

Merged error: 0.0b

Counts

44 → 7

Compiler

Compiled 483 to 317 computations (34.4% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 3 y) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_18864`
9×	`pow1_binary64_18894` `*-un-lft-identity_binary64_18833` `add-cube-cbrt_binary64_18868` `add-exp-log_binary64_18871` `add-sqr-sqrt_binary64_18855`
7×	`add-cbrt-cube_binary64_18869`
6×	`associate-r_binary64_18773`
4×	`add-log-exp_binary64_18872`
3×	`pow-prod-down_binary64_18904` `cbrt-unprod_binary64_18866` `prod-exp_binary64_18882` `pow1/3_binary64_18915`
1×	`-commutative_binary64_18764` `associate-l*_binary64_18774`

Counts

4 → 54

Calls

4 calls:

11.0ms	(.f64 (.f64 3 y) (cbrt.f64 x))
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

series509.0ms (12.4%)

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt.f64 x)
125.0ms	(cbrt.f64 x)
123.0ms	(cbrt.f64 x)
105.0ms	(.f64 (.f64 3 y) (cbrt.f64 x))

simplify91.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4872	509
1	4872	509

prune93.0ms (2.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	64	9	73

Merged error: 0.0b

Counts

73 → 9

Compiler

Compiled 1264 to 574 computations (54.6% saved)

localize19.0ms (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)

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_18864`
23×	`add-sqr-sqrt_binary64_18855`
15×	`*-un-lft-identity_binary64_18833` `add-cube-cbrt_binary64_18868`
11×	`pow1_binary64_18894`
9×	`pow1/3_binary64_18915`
6×	`swap-sqr_binary64_18800` `associate-r_binary64_18773` `associate-l_binary64_18774` `add-exp-log_binary64_18871`
4×	`add-cbrt-cube_binary64_18869` `add-log-exp_binary64_18872` `unswap-sqr_binary64_18801`
2×	`pow-prod-down_binary64_18904` `pow-sqr_binary64_18806` `pow-prod-up_binary64_18903`
1×	`*-commutative_binary64_18764` `pow2_binary64_18914` `cbrt-unprod_binary64_18866` `prod-exp_binary64_18882` `pow-plus_binary64_18896`

Counts

4 → 73

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

series570.0ms (13.9%)

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt.f64 x)
149.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
135.0ms	(cbrt.f64 x)
120.0ms	(cbrt.f64 x)

simplify70.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune126.0ms (3.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

Compiler

Compiled 1414 to 585 computations (58.6% saved)

regimes313.0ms (7.6%)

Compiler: Compiled 2076 to 1578 computations (24% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms (0%)

sample1.2s (29.7%)

Algorithm

1×

intervals

Results

298.0ms	8000×	body	128	valid
10.0ms	264×	body	128	invalid

Compiler

Compiled 362 to 279 computations (22.9% saved)

Details

analyze321.0ms (7.8%)

sample32.0ms (0.8%)

simplify174.0ms (4.2%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite15.0ms (0.4%)

series69.0ms (1.7%)

simplify123.0ms (3%)

prune40.0ms (1%)

localize10.0ms (0.3%)

rewrite28.0ms (0.7%)

series60.0ms (1.5%)

simplify102.0ms (2.5%)

prune34.0ms (0.8%)

localize19.0ms (0.5%)

rewrite24.0ms (0.6%)

series509.0ms (12.4%)

simplify91.0ms (2.2%)

prune93.0ms (2.3%)

localize19.0ms (0.5%)

rewrite30.0ms (0.7%)

series570.0ms (13.9%)

simplify70.0ms (1.7%)

prune126.0ms (3.1%)

regimes313.0ms (7.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (29.7%)

Profiling