Details

analyze252.0ms (6.6%)

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
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample61.0ms (1.6%)

Algorithm

1×

intervals

Results

22.0ms	49×	body	1280	valid
16.0ms	43×	body	640	valid
9.0ms	134×	body	80	valid
4.0ms	19×	body	320	valid
1.0ms	11×	body	160	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify21.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	160	14
1	160	14

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: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
0.1b	(*.f64 z (sin.f64 y))
0.1b	(*.f64 x (cos.f64 y))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
5×	`add-log-exp_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

3 → 47

Calls

3 calls:

5.0ms	(*.f64 x (cos.f64 y))
5.0ms	(*.f64 z (sin.f64 y))
4.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

series36.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

20.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
8.0ms	(*.f64 x (cos.f64 y))
7.0ms	(*.f64 z (sin.f64 y))

simplify74.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4870	627
1	4870	627

prune52.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	48	8	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	8	57

Merged error: 0.0b

Counts

57 → 8

Compiler

Compiled 862 to 237 computations (72.5% saved)

localize13.0ms (0.3%)

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)

rewrite12.0ms (0.3%)

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)

series65.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

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

simplify79.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4942	588
1	4942	588

prune58.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

Compiler

Compiled 1730 to 492 computations (71.6% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 50

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 x))
2.0ms	(cbrt.f64 (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series76.0ms (2%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt.f64 (cbrt.f64 x))
22.0ms	(cbrt.f64 (cbrt.f64 x))
17.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)

simplify74.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5120	466

prune57.0ms (1.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	61	10	71

Merged error: 0.0b

Counts

71 → 10

Compiler

Compiled 1782 to 637 computations (64.3% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.6b	(cbrt.f64 (cbrt.f64 x))
0.6b	(cbrt.f64 (cbrt.f64 x))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`cbrt-prod_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 63

Calls

4 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
2.0ms	(cbrt.f64 (cbrt.f64 x))
2.0ms	(cbrt.f64 (cbrt.f64 x))
1.0ms	(cbrt.f64 x)

series95.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
22.0ms	(cbrt.f64 (cbrt.f64 x))
22.0ms	(cbrt.f64 (cbrt.f64 x))
15.0ms	(cbrt.f64 x)

simplify119.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4767	681
1	4767	681

prune52.0ms (1.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	75	10	85

Merged error: 0.0b

Counts

85 → 10

Compiler

Compiled 1919 to 756 computations (60.6% saved)

regimes147.0ms (3.8%)

Compiler: Compiled 549 to 378 computations (31.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	26
1	41	26

end0.0ms (0%)

sample2.4s (62.5%)

Algorithm

1×

intervals

Results

677.0ms	1505×	body	1280	valid
333.0ms	1220×	body	640	valid
293.0ms	4339×	body	80	valid
126.0ms	623×	body	320	valid
46.0ms	313×	body	160	valid

Compiler

Compiled 207 to 143 computations (30.9% saved)

Details

analyze252.0ms (6.6%)

sample61.0ms (1.6%)

simplify21.0ms (0.6%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite15.0ms (0.4%)

series36.0ms (0.9%)

simplify74.0ms (1.9%)

prune52.0ms (1.4%)

localize13.0ms (0.3%)

rewrite12.0ms (0.3%)

series65.0ms (1.7%)

simplify79.0ms (2.1%)

prune58.0ms (1.5%)

localize20.0ms (0.5%)

rewrite8.0ms (0.2%)

series76.0ms (2%)

simplify74.0ms (1.9%)

prune57.0ms (1.5%)

localize17.0ms (0.5%)

rewrite10.0ms (0.3%)

series95.0ms (2.5%)

simplify119.0ms (3.1%)

prune52.0ms (1.4%)

regimes147.0ms (3.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.4s (62.5%)

Profiling