Details

analyze40.0ms

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

sample21.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true
0.0ms	8×	pre	80	false

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5107	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: 15.6b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (- 1 (* b (/ b (* a a))))))
0.0b	(- 1 (* b (/ b (* a a))))
0.2b	(* b (/ b (* a a)))
15.3b	(/ b (* a a))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `times-frac` `associate-r`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp`
3×	`associate-l` `sqrt-prod` `associate-/l*`
2×	`div-inv` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative` `flip--`

Counts

4 → 73

Calls

4 calls:

1.0ms	(sqrt (fabs (- 1 (* b (/ b (* a a))))))
3.0ms	(- 1 (* b (/ b (* a a))))
7.0ms	(* b (/ b (* a a)))
5.0ms	(/ b (* a a))

series29.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (fabs (- 1 (* b (/ b (* a a))))))
7.0ms	(- 1 (* b (/ b (* a a))))
8.0ms	(* b (/ b (* a a)))
5.0ms	(/ b (* a a))

simplify51.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5152	627

prune131.0ms

Filtered

58 candidates to 85 candidates (-46.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	3	86

Merged error: 0b

Counts

86 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt b) a)
0.4b	(* (fabs (/ (sqrt b) a)) (sqrt b))
0.4b	(* (fabs (/ (sqrt b) a)) (sqrt b))
0.4b	(* (* (fabs (/ (sqrt b) a)) (sqrt b)) (* (fabs (/ (sqrt b) a)) (sqrt b)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
33×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
22×	`add-exp-log` `add-cbrt-cube`
20×	`sqrt-prod`
19×	`pow-prod-down`
18×	`times-frac`
13×	`associate-r`
10×	`prod-exp` `cbrt-unprod`
7×	`associate-l`
6×	`associate-/l*`
4×	`pow-sqr` `pow-prod-up` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `-commutative`
2×	`pow-plus`
1×	`cbrt-undiv` `pow2` `frac-2neg` `swap-sqr` `div-exp` `clear-num` `div-inv`

Counts

4 → 117

Calls

4 calls:

4.0ms	(/ (sqrt b) a)
5.0ms	(* (fabs (/ (sqrt b) a)) (sqrt b))
5.0ms	(* (fabs (/ (sqrt b) a)) (sqrt b))
8.0ms	(* (* (fabs (/ (sqrt b) a)) (sqrt b)) (* (fabs (/ (sqrt b) a)) (sqrt b)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ (sqrt b) a)
9.0ms	(* (fabs (/ (sqrt b) a)) (sqrt b))
9.0ms	(* (fabs (/ (sqrt b) a)) (sqrt b))
11.0ms	(* (* (fabs (/ (sqrt b) a)) (sqrt b)) (* (fabs (/ (sqrt b) a)) (sqrt b)))

simplify61.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4939	1246
1	4939	1246

prune156.0ms

Filtered

82 candidates to 129 candidates (-57.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	129	3	132

Merged error: 0b

Counts

132 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (- 1 (log (exp (pow (/ b a) 2))))))
0.0b	(- 1 (log (exp (pow (/ b a) 2))))
0.4b	(pow (/ b a) 2)
5.9b	(log (exp (pow (/ b a) 2)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`unpow-prod-down`
23×	`add-cube-cbrt`
20×	`log-pow`
18×	`exp-prod` `times-frac`
8×	`pow1`
7×	`add-exp-log`
6×	`log-prod`
5×	`add-log-exp`
4×	`add-cbrt-cube`
3×	`pow-unpow` `sqrt-prod` `associate--r+`
2×	`pow-exp` `div-inv` `distribute-lft-out--` `unpow2` `difference-of-squares` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `rem-sqrt-square` `flip3--` `pow-pow` `sqrt-pow1` `pow1/2` `diff-log` `div-exp` `rem-log-exp` `flip--`

Counts

4 → 90

Calls

4 calls:

1.0ms	(sqrt (fabs (- 1 (log (exp (pow (/ b a) 2))))))
13.0ms	(- 1 (log (exp (pow (/ b a) 2))))
4.0ms	(pow (/ b a) 2)
6.0ms	(log (exp (pow (/ b a) 2)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (fabs (- 1 (log (exp (pow (/ b a) 2))))))
6.0ms	(- 1 (log (exp (pow (/ b a) 2))))
4.0ms	(pow (/ b a) 2)
4.0ms	(log (exp (pow (/ b a) 2)))

simplify46.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5587	772

prune165.0ms

Filtered

71 candidates to 102 candidates (-43.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	102	3	105

Merged error: 0b

Counts

105 → 3

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)

rewrite14.0ms

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)

series52.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt (fabs (- 1 (pow (/ b a) 2))))
21.0ms	(cbrt (fabs (- 1 (pow (/ b a) 2))))
4.0ms	(pow (/ b a) 2)
4.0ms	(pow (/ b a) 2)

simplify46.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5158	772

prune202.0ms

Filtered

58 candidates to 92 candidates (-58.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	92	3	95

Merged error: 0b

Counts

95 → 3

regimes78.0ms

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	13	21
1	13	21

end0.0ms

analyze37.0ms

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

sample566.0ms

Algorithm

intervals

Results

273.0ms	8000×	body	80	valid
147.0ms	8000×	pre	80	true
2.0ms	134×	pre	80	false

Details

analyze40.0ms

sample21.0ms

simplify63.0ms

prune7.0ms

localize8.0ms

rewrite17.0ms

series29.0ms

simplify51.0ms

prune131.0ms

localize10.0ms

rewrite29.0ms

series40.0ms

simplify61.0ms

prune156.0ms

localize10.0ms

rewrite28.0ms

series23.0ms

simplify46.0ms

prune165.0ms

localize11.0ms

rewrite14.0ms

series52.0ms

simplify46.0ms

prune202.0ms

regimes78.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze37.0ms

sample566.0ms

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