Details

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
5.8%	93.9%	0.3%	11
8.4%	91.3%	0.3%	12
9.7%	90%	0.3%	13
10.7%	89%	0.3%	14

sample28.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	47	8
3	49	8
4	49	8

prune5.0ms

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: 15.6b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
4.3b	(/ (* y b) t)
4.9b	(/ (* y z) t)
11.8b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
26×	`times-frac`
24×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
9×	`add-log-exp`
6×	`associate-/l*`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `frac-add` `associate-/r/`
3×	`frac-2neg` `clear-num` `sum-log` `div-inv`
2×	`prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

4 → 106

Calls

4 calls:

7.0ms	(+ (+ a 1.0) (/ (* y b) t))
4.0ms	(/ (* y b) t)
4.0ms	(/ (* y z) t)
16.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (+ a 1.0) (/ (* y b) t))
5.0ms	(/ (* y b) t)
5.0ms	(/ (* y z) t)
38.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	469	909
1	2102	841
2	5001	841

prune176.0ms

Filtered

78 candidates to 118 candidates (-51.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	108	10	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	10	119

Merged error: 11.5b

Counts

119 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
3.4b	(* y (/ z t))
4.3b	(/ (* y b) t)
11.8b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`times-frac`
24×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-lft-out`
13×	`associate-r`
9×	`add-log-exp`
8×	`associate-/r*`
6×	`pow1`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp` `frac-add` `associate-/r/` `associate-/l*`
3×	`associate-l` `prod-exp` `sum-log` `cbrt-unprod` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 111

Calls

4 calls:

7.0ms	(+ (+ a 1.0) (/ (* y b) t))
7.0ms	(* y (/ z t))
4.0ms	(/ (* y b) t)
10.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (+ a 1.0) (/ (* y b) t))
5.0ms	(* y (/ z t))
5.0ms	(/ (* y b) t)
39.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify61.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	531	889
1	2380	821
2	5001	821

prune167.0ms

Filtered

80 candidates to 123 candidates (-53.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	123	10	133

Merged error: 11.2b

Counts

133 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ y (/ t b)))
3.4b	(* y (/ z t))
4.2b	(/ y (/ t b))
11.8b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

100×	`times-frac`
89×	`*-un-lft-identity`
69×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
18×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
15×	`distribute-lft-out`
13×	`associate-r`
9×	`add-log-exp`
7×	`div-inv`
6×	`pow1` `associate-/l*`
5×	`cbrt-undiv` `flip3-+` `div-exp` `associate-/r/` `flip-+`
4×	`frac-add`
3×	`associate-l` `sum-log`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 160

Calls

4 calls:

21.0ms	(+ (+ a 1.0) (/ y (/ t b)))
7.0ms	(* y (/ z t))
6.0ms	(/ y (/ t b))
23.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

series78.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (+ a 1.0) (/ y (/ t b)))
5.0ms	(* y (/ z t))
5.0ms	(/ y (/ t b))
57.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

simplify91.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	747	1258
1	3309	1185
2	5001	1185

prune257.0ms

Filtered

126 candidates to 172 candidates (-36.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	171	11	182

Merged error: 10.5b

Counts

182 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ y (/ t b)))
4.2b	(/ y (/ t b))
4.9b	(/ (* y z) t)
11.8b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
98×	`times-frac`
59×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`distribute-lft-out`
21×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
9×	`add-log-exp`
8×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`flip3-+` `associate-/r/` `flip-+`
4×	`pow1` `frac-add`
3×	`frac-2neg` `clear-num` `sum-log`
2×	`associate-/l/`
1×	`+-commutative` `associate-+l+` `prod-exp` `cbrt-unprod`

Counts

4 → 155

Calls

4 calls:

20.0ms	(+ (+ a 1.0) (/ y (/ t b)))
7.0ms	(/ y (/ t b))
6.0ms	(/ (* y z) t)
31.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

series78.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (+ a 1.0) (/ y (/ t b)))
10.0ms	(/ y (/ t b))
6.0ms	(/ (* y z) t)
49.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

simplify80.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	692	1278
1	3039	1205
2	5002	1205

prune195.0ms

Filtered

119 candidates to 167 candidates (-40.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	167	11	178

Merged error: 10.5b

Counts

178 → 11

regimes1.0s

Accuracy

45.8% (3.6b remaining)

Error of 12.9b against oracle of 9.3b and baseline of 16.0b

bsearch5.2s

Steps

Iters	Range		Point
10	6.284204267636176e-134	6.109655197368025e-116	4.5634026494073695e-117
10	-4.253793507931216e+84	-8.844721660267182e+74	-2.219193970698573e+75

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	17
1	44	17

end0.0ms

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
5.8%	93.9%	0.3%	11
8.4%	91.3%	0.3%	12
9.7%	90%	0.3%	13
10.7%	89%	0.3%	14

sample834.0ms

Algorithm

intervals

Results

499.0ms	8000×	body	80	valid
20.0ms	271×	body	80	invalid

Details

analyze1.3s

sample28.0ms

simplify8.0ms

prune5.0ms

localize12.0ms

rewrite34.0ms

series56.0ms

simplify57.0ms

prune176.0ms

localize11.0ms

rewrite32.0ms

series58.0ms

simplify61.0ms

prune167.0ms

localize14.0ms

rewrite65.0ms

series78.0ms

simplify91.0ms

prune257.0ms

localize14.0ms

rewrite73.0ms

series78.0ms

simplify80.0ms

prune195.0ms

regimes1.0s

bsearch5.2s

simplify2.0ms

end0.0ms

analyze1.3s

sample834.0ms

Profiling