Details

analyze42.0ms

Algorithm

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true
0.0ms	1×	pre	80	false

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5165	11

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 12.8b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (- 1 (* b (/ b (* a a))))))
0.2b	(* b (/ b (* a a)))
13.0b	(/ b (* a a))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`times-frac` `associate-r`
6×	`pow1`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp`
3×	`associate-l` `sqrt-prod` `associate-/l*` `add-log-exp`
2×	`div-inv` `unswap-sqr`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative`

Counts

3 → 62

Calls

3 calls:

1.0ms	(sqrt (fabs (- 1 (* b (/ b (* a a))))))
7.0ms	(* b (/ b (* a a)))
5.0ms	(/ b (* a a))

series18.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sqrt (fabs (- 1 (* b (/ b (* a a))))))
5.0ms	(* b (/ b (* a a)))
5.0ms	(/ b (* a a))

simplify57.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4931	492
1	4931	492

prune95.0ms

Filtered

48 candidates to 71 candidates (-47.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	2	72

Merged error: 0b

Counts

72 → 2

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (- 1 (log (exp (pow (/ b a) 2))))))
0.4b	(pow (/ b a) 2)
5.8b	(log (exp (pow (/ b a) 2)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

26×	`unpow-prod-down`
22×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`log-pow`
18×	`exp-prod` `times-frac`
6×	`pow1` `add-exp-log`
3×	`pow-unpow` `log-prod` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
2×	`pow-exp` `div-inv` `unpow2` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `pow-pow` `sqrt-pow1` `pow1/2` `div-exp` `rem-log-exp`

Counts

3 → 72

Calls

3 calls:

1.0ms	(sqrt (fabs (- 1 (log (exp (pow (/ b a) 2))))))
4.0ms	(pow (/ b a) 2)
6.0ms	(log (exp (pow (/ b a) 2)))

series15.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sqrt (fabs (- 1 (log (exp (pow (/ b a) 2))))))
3.0ms	(pow (/ b a) 2)
4.0ms	(log (exp (pow (/ b a) 2)))

simplify44.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5374	573

prune116.0ms

Filtered

56 candidates to 81 candidates (-44.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	81	2	83

Merged error: 0b

Counts

83 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (fabs (- 1 (pow (/ b a) 2))))
0.0b	(cbrt (fabs (- 1 (pow (/ b a) 2))))
0.4b	(pow (/ b a) 2)
0.4b	(pow (/ b a) 2)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

26×	`unpow-prod-down`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
10×	`add-exp-log`
6×	`pow1` `cbrt-prod` `pow-unpow`
4×	`pow-exp` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `div-exp` `div-inv` `unpow2` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

1.0ms	(cbrt (fabs (- 1 (pow (/ b a) 2))))
1.0ms	(cbrt (fabs (- 1 (pow (/ b a) 2))))
4.0ms	(pow (/ b a) 2)
5.0ms	(pow (/ b a) 2)

series49.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt (fabs (- 1 (pow (/ b a) 2))))
22.0ms	(cbrt (fabs (- 1 (pow (/ b a) 2))))
3.0ms	(pow (/ b a) 2)
3.0ms	(pow (/ b a) 2)

simplify47.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5210	772

prune175.0ms

Filtered

58 candidates to 92 candidates (-58.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	92	2	94

Merged error: 0b

Counts

94 → 2

regimes66.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample561.0ms

Algorithm

intervals

Results

267.0ms	8000×	body	80	valid
149.0ms	8000×	pre	80	true
2.0ms	126×	pre	80	false

Details

analyze42.0ms

sample22.0ms

simplify56.0ms

prune7.0ms

localize8.0ms

rewrite16.0ms

series18.0ms

simplify57.0ms

prune95.0ms

localize13.0ms

rewrite14.0ms

series15.0ms

simplify44.0ms

prune116.0ms

localize11.0ms

rewrite13.0ms

series49.0ms

simplify47.0ms

prune175.0ms

regimes66.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample561.0ms

Profiling