Details

analyze212.0ms (8.8%)

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)

sample14.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify23.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	210	10
1	210	10

prune7.0ms (0.3%)

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: 0.4b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-l_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

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

series12.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(-.f64 (.f64 (.f64 x 3) y) z)
5.0ms	(.f64 (.f64 x 3) y)

simplify88.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5110	393

prune35.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	6	36

Merged error: 0.0b

Counts

36 → 6

Compiler

Compiled 455 to 306 computations (32.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-r_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

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

series11.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(-.f64 (.f64 x (.f64 3 y)) z)
4.0ms	(.f64 x (.f64 3 y))

simplify91.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4959	391
1	4959	391

prune34.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	33	8	41

Merged error: 0.0b

Counts

41 → 8

Compiler

Compiled 470 to 315 computations (33% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite11.0ms (0.5%)

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:

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

series67.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
17.0ms	(cbrt.f64 x)
16.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)

simplify79.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4942	588
1	4942	588

prune62.0ms (2.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

Compiler

Compiled 1519 to 734 computations (51.7% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64`
12×	`add-cbrt-cube_binary64`
9×	`cbrt-prod_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 55

Calls

4 calls:

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

series71.0ms (3%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(.f64 (.f64 x 3) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
17.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)

simplify105.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4937	548
1	4937	548

prune38.0ms (1.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	66	10	76

Merged error: 0.0b

Counts

76 → 10

Compiler

Compiled 1101 to 539 computations (51% saved)

regimes339.0ms (14.2%)

Compiler: Compiled 920 to 768 computations (16.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms (0%)

sample1.0s (42.7%)

Algorithm

1×

intervals

Results

185.0ms	8000×	body	80	valid
7.0ms	329×	body	80	invalid

Compiler

Compiled 156 to 131 computations (16% saved)

Details

analyze212.0ms (8.8%)

sample14.0ms (0.6%)

simplify23.0ms (0.9%)

prune7.0ms (0.3%)

localize6.0ms (0.2%)

rewrite11.0ms (0.5%)

series12.0ms (0.5%)

simplify88.0ms (3.7%)

prune35.0ms (1.5%)

localize5.0ms (0.2%)

rewrite12.0ms (0.5%)

series11.0ms (0.5%)

simplify91.0ms (3.8%)

prune34.0ms (1.4%)

localize9.0ms (0.4%)

rewrite11.0ms (0.5%)

series67.0ms (2.8%)

simplify79.0ms (3.3%)

prune62.0ms (2.6%)

localize11.0ms (0.4%)

rewrite15.0ms (0.6%)

series71.0ms (3%)

simplify105.0ms (4.4%)

prune38.0ms (1.6%)

regimes339.0ms (14.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (42.7%)

Profiling