Details

analyze4.0ms (0.3%)

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%	0.4%	49.6%	10
50.2%	0.2%	49.6%	11
50.2%	0.1%	49.7%	12
50.2%	0%	49.8%	13
50.2%	0%	49.8%	14

sample13.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

valid

simplify59.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5288	6

prune6.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) 1.0)
0.0b	(exp (- (* x x) 1.0))

rewrite10.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp`
5×	`add-sqr-sqrt`
4×	`exp-prod`
3×	`add-cube-cbrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `sub-neg` `diff-log` `add-cbrt-cube` `rem-exp-log` `difference-of-squares`
1×	`flip3--` `exp-diff` `exp-sum` `flip--`

Counts

2 → 27

Calls

2 calls:

5.0ms	(exp (- (* x x) 1.0))
4.0ms	(- (* x x) 1.0)

series8.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

4.0ms	(- (* x x) 1.0)
4.0ms	(exp (- (* x x) 1.0))

simplify59.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4882	233
1	4882	233

prune54.0ms (3.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Merged error: 0.0b

Counts

34 → 2

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(pow (exp x) x)
0.0b	(* (pow (exp x) x) (exp (neg 1.0)))

rewrite15.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down` `associate-l`
4×	`pow-pow` `add-cbrt-cube`
3×	`pow1` `add-exp-log` `pow-unpow` `exp-prod` `associate-r` `prod-exp` `unswap-sqr` `sqr-pow`
2×	`exp-neg` `pow-to-exp` `associate-*r/` `pow-exp` `add-log-exp`
1×	`neg-sub0` `exp-diff` `un-div-inv` `*-commutative` `cbrt-unprod`

Counts

2 → 48

Calls

2 calls:

10.0ms	(* (pow (exp x) x) (exp (neg 1.0)))
3.0ms	(pow (exp x) x)

series16.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

12.0ms	(* (pow (exp x) x) (exp (neg 1.0)))
5.0ms	(pow (exp x) x)

simplify42.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5390	394

prune77.0ms (5.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	54	2	56

Merged error: 0.0b

Counts

56 → 2

localize11.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(* (* (pow (exp x) x) (* (cbrt (exp (neg 1.0))) (cbrt (exp (neg 1.0))))) (cbrt (exp (neg 1.0))))
1.0b	(cbrt (exp (neg 1.0)))
1.0b	(cbrt (exp (neg 1.0)))
1.0b	(cbrt (exp (neg 1.0)))

rewrite30.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`neg-sub0` `exp-neg` `exp-diff`
28×	`frac-times`
23×	`add-exp-log`
16×	`prod-exp`
14×	`associate-*l/`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
6×	`pow1` `associate-r` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3`
2×	`pow-to-exp` `pow-exp`
1×	`associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 91

Calls

4 calls:

17.0ms	(* (* (pow (exp x) x) (* (cbrt (exp (neg 1.0))) (cbrt (exp (neg 1.0))))) (cbrt (exp (neg 1.0))))
3.0ms	(cbrt (exp (neg 1.0)))
3.0ms	(cbrt (exp (neg 1.0)))
3.0ms	(cbrt (exp (neg 1.0)))

series12.0ms (0.8%)

Counts

4 → 6

Calls

4 calls:

11.0ms	(* (* (pow (exp x) x) (* (cbrt (exp (neg 1.0))) (cbrt (exp (neg 1.0))))) (cbrt (exp (neg 1.0))))
0.0ms	(cbrt (exp (neg 1.0)))
0.0ms	(cbrt (exp (neg 1.0)))
0.0ms	(cbrt (exp (neg 1.0)))

simplify44.0ms (3%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4929	892
1	4929	892

prune213.0ms (14.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	97	2	99

Merged error: 0b

Counts

99 → 2

localize17.0ms (1.2%)

Local error

Found 4 expressions with local error:

0.0b	(* (* (pow (exp x) x) (* (cbrt (exp (neg 1.0))) (/ (cbrt 1) (cbrt (exp 1.0))))) (cbrt (exp (neg 1.0))))
1.0b	(cbrt (exp (neg 1.0)))
1.0b	(cbrt (exp (neg 1.0)))
1.6b	(cbrt (exp 1.0))

rewrite28.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-exp-log`
28×	`cbrt-div`
25×	`prod-exp`
20×	`associate-*r/`
16×	`frac-times`
14×	`neg-sub0` `exp-neg` `exp-diff`
12×	`cbrt-prod`
11×	`associate-*l/`
10×	`add-cbrt-cube`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `cbrt-unprod`
6×	`pow1` `associate-r`
4×	`add-log-exp`
3×	`pow-to-exp` `pow1/3` `div-exp` `pow-exp`
1×	`cbrt-undiv` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 84

Calls

4 calls:

17.0ms	(* (* (pow (exp x) x) (* (cbrt (exp (neg 1.0))) (/ (cbrt 1) (cbrt (exp 1.0))))) (cbrt (exp (neg 1.0))))
3.0ms	(cbrt (exp (neg 1.0)))
3.0ms	(cbrt (exp (neg 1.0)))
2.0ms	(cbrt (exp 1.0))

series44.0ms (3.1%)

Counts

4 → 6

Calls

4 calls:

44.0ms	(* (* (pow (exp x) x) (* (cbrt (exp (neg 1.0))) (/ (cbrt 1) (cbrt (exp 1.0))))) (cbrt (exp (neg 1.0))))
0.0ms	(cbrt (exp 1.0))
0.0ms	(cbrt (exp (neg 1.0)))
0.0ms	(cbrt (exp (neg 1.0)))

simplify52.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4974	1087
1	4974	1087

prune236.0ms (16.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	90	2	92

Merged error: 0b

Counts

92 → 2

regimes50.0ms (3.4%)

Accuracy

Total 0.0b remaining (32%)

Threshold costs 0.0b (32%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms (0%)

sample334.0ms (23.1%)

Algorithm

1×

intervals

Results

238.0ms	8000×	body	80	valid
0.0ms	6×	body	80	invalid

Details

analyze4.0ms (0.3%)

sample13.0ms (0.9%)

simplify59.0ms (4.1%)

prune6.0ms (0.4%)

localize5.0ms (0.3%)

rewrite10.0ms (0.7%)

series8.0ms (0.5%)

simplify59.0ms (4.1%)

prune54.0ms (3.7%)

localize8.0ms (0.5%)

rewrite15.0ms (1%)

series16.0ms (1.1%)

simplify42.0ms (2.9%)

prune77.0ms (5.3%)

localize11.0ms (0.8%)

rewrite30.0ms (2.1%)

series12.0ms (0.8%)

simplify44.0ms (3%)

prune213.0ms (14.7%)

localize17.0ms (1.2%)

rewrite28.0ms (1.9%)

series44.0ms (3.1%)

simplify52.0ms (3.6%)

prune236.0ms (16.3%)

regimes50.0ms (3.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample334.0ms (23.1%)

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