Details

sample58.0ms

Algorithm

intervals

Results

31.0ms

262×

body

valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	41	16
1	88	16
2	254	16
3	663	16
4	1615	16
5	2362	16
6	2584	16
7	3122	16
8	5001	16

prune5.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 29.1b

Counts

2 → 1

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
28.4b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite92.0ms

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:

9.0ms	(* (+ (* x y) z) y)
16.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
20.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
44.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series464.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (+ (* x y) z) y)
50.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
65.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
314.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify61.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	505	1241
1	2228	1133
2	5002	1131

prune390.0ms

Filtered

103 candidates to 76 candidates (73.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	93	10	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	10	104

Merged error: 27.9b

Counts

104 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
28.5b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite68.0ms

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)
12.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
13.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
29.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series514.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
65.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
78.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
319.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify75.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	559	1707
1	2755	1518
2	5001	1492

prune457.0ms

Filtered

127 candidates to 81 candidates (63.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	127	10	137

Merged error: 27.9b

Counts

137 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.3b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
28.5b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 155

Calls

4 calls:

10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
12.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
24.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
25.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.0s

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
68.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
419.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
463.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify100.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	682	3637
1	3368	3358
2	5002	3278

prune487.0ms

Filtered

167 candidates to 98 candidates (58.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	167	10	177

Merged error: 27.9b

Counts

177 → 10

localize32.0ms

Local error

Found 4 expressions with local error:

18.0b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
18.0b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
18.0b	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
24.9b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

12.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
11.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
11.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
41.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

series938.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
143.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
139.0ms	(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
522.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

simplify113.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	337	1691
1	1018	1534
2	4426	1509
3	5002	1506

prune394.0ms

Filtered

82 candidates to 71 candidates (86.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	82	10	92

Merged error: 27.9b

Counts

92 → 10

regimes579.0ms

Accuracy

71.7% (0.3b remaining)

Error of 28.8b against oracle of 28.5b and baseline of 29.6b

bsearch5.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	33
1	50	33

end0.0ms

sample1.0s

Algorithm

intervals

Results

681.0ms

8226×

body

valid