Details

analyze4.0ms (0.2%)

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

sample60.0ms (2.4%)

Algorithm

1×

intervals

Results

30.0ms	96×	body	1280	valid
17.0ms	93×	body	640	valid
5.0ms	40×	body	320	valid
1.0ms	15×	body	160	valid
0.0ms	12×	body	80	valid

simplify67.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5032	8

prune5.0ms (0.2%)

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: 57.8b

Counts

2 → 1

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

4.9b	(- (exp x) (exp (neg x)))

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `sinh-undef` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

10.0ms

(- (exp x) (exp (neg x)))

series5.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(- (exp x) (exp (neg x)))

simplify89.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4847	155
1	4847	155

prune28.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	2	18

Merged error: 0b

Counts

18 → 2

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b

(sinh x)

rewrite2.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `sinh-def` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

1 → 8

Calls

1 calls:

1.0ms

(sinh x)

series9.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

9.0ms

(sinh x)

simplify51.0ms (2%)

Algorithm

1×	egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5343	61

prune21.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	2	13

Merged error: 0b

Counts

13 → 2

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/60 (pow x 5)) (+ x x))
0.0b	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (+ x x)))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite34.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
18×	`add-log-exp`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sum-log`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `associate-+r+` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`cube-mult` `unpow3`

Counts

4 → 83

Calls

4 calls:

12.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (+ x x)))
8.0ms	(+ (* 1/60 (pow x 5)) (+ x x))
6.0ms	(* 1/3 (pow x 3))
5.0ms	(* 1/60 (pow x 5))

series26.0ms (1%)

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (* 1/60 (pow x 5)) (+ x x))
6.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (+ x x)))
5.0ms	(* 1/60 (pow x 5))
4.0ms	(* 1/3 (pow x 3))

simplify51.0ms (2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5253	905

prune208.0ms (8.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	95	2	97

Merged error: 0b

Counts

97 → 2

regimes25.0ms (1%)

Accuracy

Total 0.0b remaining (53.7%)

Threshold costs 0.0b (53.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

end0.0ms (0%)

sample1.8s (72%)

Algorithm

1×

intervals

Results

1.0s	3345×	body	1280	valid
472.0ms	2468×	body	640	valid
161.0ms	1269×	body	320	valid
47.0ms	634×	body	160	valid
11.0ms	284×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze4.0ms (0.2%)

sample60.0ms (2.4%)

simplify67.0ms (2.6%)

prune5.0ms (0.2%)

localize7.0ms (0.3%)

rewrite10.0ms (0.4%)

series5.0ms (0.2%)

simplify89.0ms (3.5%)

prune28.0ms (1.1%)

localize5.0ms (0.2%)

rewrite2.0ms (0.1%)

series9.0ms (0.4%)

simplify51.0ms (2%)

prune21.0ms (0.8%)

localize11.0ms (0.4%)

rewrite34.0ms (1.3%)

series26.0ms (1%)

simplify51.0ms (2%)

prune208.0ms (8.1%)

regimes25.0ms (1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample1.8s (72%)

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