Details

analyze1.9s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample39.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
1.0ms	9×	body	80	invalid

simplify140.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	4834	33
1	4834	33

prune14.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 27.3b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
26.7b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

12.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
9.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
6.0ms	(* (+ (* x y) z) y)
25.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series198.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
15.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
9.0ms	(* (+ (* x y) z) y)
150.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify57.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4924	2303
1	4924	2303

prune245.0ms

Filtered

85 candidates to 103 candidates (-21.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	92	11	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	11	104

Merged error: 26.4b

Counts

104 → 11

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.2b	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
26.5b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`add-exp-log` `associate-r`
20×	`times-frac`
15×	`add-cbrt-cube`
11×	`pow1`
9×	`associate-l`
6×	`flip3-+` `associate-*l/` `prod-exp` `flip-+`
5×	`unswap-sqr`
4×	`div-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 115

Calls

4 calls:

10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
7.0ms	(* (+ (* x y) z) y)
13.0ms	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
28.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
9.0ms	(* (+ (* x y) z) y)
25.0ms	(/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i))
154.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* y (+ (* y (+ (* y (+ y a)) b)) c)) i)))

simplify46.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5082	2861

prune205.0ms

Filtered

89 candidates to 127 candidates (-42.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	127	11	138

Merged error: 26.4b

Counts

138 → 11

localize30.0ms

Local error

Found 4 expressions with local error:

20.5b	(cbrt (* y (+ (* x y) z)))
20.5b	(cbrt (* y (+ (* x y) z)))
20.5b	(cbrt (* y (+ (* x y) z)))
26.7b	(/ (+ (* (+ (* (+ (* (* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z)))) (cbrt (* y (+ (* x y) z)))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `associate-*r/` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 64

Calls

4 calls:

5.0ms	(cbrt (* y (+ (* x y) z)))
5.0ms	(cbrt (* y (+ (* x y) z)))
5.0ms	(cbrt (* y (+ (* x y) z)))
31.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z)))) (cbrt (* y (+ (* x y) z)))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series244.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt (* y (+ (* x y) z)))
39.0ms	(cbrt (* y (+ (* x y) z)))
39.0ms	(cbrt (* y (+ (* x y) z)))
126.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* y (+ (* x y) z))) (cbrt (* y (+ (* x y) z)))) (cbrt (* y (+ (* x y) z)))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify35.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5702	1891

prune180.0ms

Filtered

70 candidates to 76 candidates (-8.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	75	12	87

Merged error: 26.3b

Counts

87 → 12

localize33.0ms

Local error

Found 4 expressions with local error:

16.6b	(cbrt (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)))
16.6b	(cbrt (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)))
16.6b	(cbrt (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)))
26.7b	(/ (+ (* (* (cbrt (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616))) (cbrt (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)))) (cbrt (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `cbrt-div` `associate-*r/` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`pow1` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 64

Calls

4 calls:

11.0ms	(cbrt (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)))
11.0ms	(cbrt (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)))
10.0ms	(cbrt (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)))
30.0ms	(/ (+ (* (* (cbrt (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616))) (cbrt (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)))) (cbrt (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series268.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(cbrt (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)))
46.0ms	(cbrt (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)))
44.0ms	(cbrt (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)))
134.0ms	(/ (+ (* (* (cbrt (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616))) (cbrt (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)))) (cbrt (* y (+ (* y (+ (* y (+ (* x y) z)) 27464.7644705)) 230661.510616)))) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify43.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5402	2275

prune178.0ms

Filtered

70 candidates to 76 candidates (-8.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	76	12	88

Merged error: 26.3b

Counts

88 → 12

regimes1.2s

Accuracy

0% (1.1b remaining)

Error of 29.3b against oracle of 28.2b and baseline of 29.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	35
1	45	35

end0.0ms

analyze2.1s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample1.1s

Algorithm

intervals

Results

696.0ms	8000×	body	80	valid
19.0ms	237×	body	80	invalid

Details

analyze1.9s

sample39.0ms

simplify140.0ms

prune14.0ms

localize22.0ms

rewrite55.0ms

series198.0ms

simplify57.0ms

prune245.0ms

localize27.0ms

rewrite61.0ms

series203.0ms

simplify46.0ms

prune205.0ms

localize30.0ms

rewrite48.0ms

series244.0ms

simplify35.0ms

prune180.0ms

localize33.0ms

rewrite64.0ms

series268.0ms

simplify43.0ms

prune178.0ms

regimes1.2s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze2.1s

sample1.1s

Profiling