Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

sample78.0ms (2.5%)

Algorithm

1×

intervals

Results

60.0ms	189×	body	1280	valid
6.0ms	33×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	12×	body	160	valid
0.0ms	6×	body	80	valid

simplify49.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5718	8

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: 27.8b

Counts

2 → 1

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2.0)
3.9b	(+.f64 (-.f64 (exp.f64 x) 2.0) (exp.f64 (neg.f64 x)))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
4×	`frac-add_binary64` `add-sqr-sqrt_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`sub-neg_binary64` `pow1_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `neg-sub0_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `exp-diff_binary64` `distribute-lft-out--_binary64` `exp-neg_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

2 → 33

Calls

2 calls:

8.0ms	(+.f64 (-.f64 (exp.f64 x) 2.0) (exp.f64 (neg.f64 x)))
4.0ms	(-.f64 (exp.f64 x) 2.0)

series8.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(+.f64 (-.f64 (exp.f64 x) 2.0) (exp.f64 (neg.f64 x)))
2.0ms	(-.f64 (exp.f64 x) 2.0)

simplify60.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5310	423

prune59.0ms (1.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	2	40

Merged error: 0.0b

Counts

40 → 2

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))

rewrite28.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
14×	`associate-r_binary64` `add-exp-log_binary64`
11×	`add-log-exp_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
6×	`associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
4×	`pow1_binary64` `sqr-pow_binary64` `sum-log_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`associate-+r+_binary64`

Counts

4 → 74

Calls

4 calls:

8.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
7.0ms	(*.f64 1/12 (pow.f64 x 4))
5.0ms	(*.f64 1/360 (pow.f64 x 6))
5.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))

series36.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
8.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/12 (pow.f64 x 4))))
6.0ms	(*.f64 1/360 (pow.f64 x 6))
5.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify58.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5022	849

prune111.0ms (3.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	86	2	88

Merged error: 0.0b

Counts

88 → 2

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (*.f64 1/360 (pow.f64 x 6)))
0.1b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))
0.9b	(log.f64 (exp.f64 (*.f64 1/360 (pow.f64 x 6))))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
14×	`associate-r_binary64` `add-exp-log_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
7×	`add-log-exp_binary64`
6×	`associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
5×	`pow1_binary64`
4×	`sqr-pow_binary64`
3×	`log-prod_binary64` `log-pow_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `exp-to-pow_binary64` `pow-exp_binary64` `exp-prod_binary64` `*-commutative_binary64`
1×	`rem-log-exp_binary64` `rem-exp-log_binary64`

Counts

4 → 74

Calls

4 calls:

5.0ms	(*.f64 1/360 (pow.f64 x 6))
5.0ms	(*.f64 1/12 (pow.f64 x 4))
2.0ms	(exp.f64 (*.f64 1/360 (pow.f64 x 6)))
2.0ms	(log.f64 (exp.f64 (*.f64 1/360 (pow.f64 x 6))))

series36.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(exp.f64 (*.f64 1/360 (pow.f64 x 6)))
7.0ms	(log.f64 (exp.f64 (*.f64 1/360 (pow.f64 x 6))))
6.0ms	(*.f64 1/360 (pow.f64 x 6))
5.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify53.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5286	546

prune112.0ms (3.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	86	2	88

Merged error: 0.0b

Counts

88 → 2

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (exp.f64 (neg.f64 x)) 2.0)
4.1b	(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2.0))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
4×	`add-sqr-sqrt_binary64`
2×	`sub-neg_binary64` `pow1_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `associate-+r+_binary64`

Counts

2 → 29

Calls

2 calls:

8.0ms	(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2.0))
8.0ms	(-.f64 (exp.f64 (neg.f64 x)) 2.0)

series9.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2.0))
2.0ms	(-.f64 (exp.f64 (neg.f64 x)) 2.0)

simplify39.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5187	335

prune33.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	34	3	37

Merged error: 0.0b

Counts

37 → 3

regimes28.0ms (0.9%)

Accuracy

Total 0.8b remaining (91.1%)

Threshold costs 0.8b (91.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	17
1	18	17

end0.0ms (0%)

sample2.3s (72%)

Algorithm

1×

intervals

Results

1.8s	5642×	body	1280	valid
226.0ms	1237×	body	640	valid
68.0ms	608×	body	320	valid
24.0ms	325×	body	160	valid
7.0ms	188×	body	80	valid
0.0ms	3×	body	80	invalid

Details

analyze4.0ms (0.1%)

sample78.0ms (2.5%)

simplify49.0ms (1.6%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

rewrite13.0ms (0.4%)

series8.0ms (0.3%)

simplify60.0ms (1.9%)

prune59.0ms (1.9%)

localize9.0ms (0.3%)

rewrite28.0ms (0.9%)

series36.0ms (1.1%)

simplify58.0ms (1.8%)

prune111.0ms (3.5%)

localize13.0ms (0.4%)

rewrite17.0ms (0.5%)

series36.0ms (1.1%)

simplify53.0ms (1.7%)

prune112.0ms (3.5%)

localize6.0ms (0.2%)

rewrite16.0ms (0.5%)

series9.0ms (0.3%)

simplify39.0ms (1.2%)

prune33.0ms (1%)

regimes28.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.3s (72%)

Profiling