Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

266×

body

valid

simplify107.0ms

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: 25.5b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
25.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite62.0ms

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:

14.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
9.0ms	(* (+ (* (+ y a) y) b) y)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
26.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series519.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
40.0ms	(* (+ (* (+ y a) y) b) y)
53.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
341.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify67.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	513	1302
1	2274	1176
2	5002	1174

prune486.0ms

Filtered

103 candidates to 77 candidates (74.8%)

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: 24.6b

Counts

104 → 10

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* y (+ (* (+ y a) y) b))
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
25.0b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* y (+ (* (+ y a) y) b)) c) y) i))

rewrite61.0ms

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`
5×	`flip3-+` `flip-+`
4×	`associate-*l/` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-*r/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-exp` `clear-num` `div-inv`

Counts

4 → 93

Calls

4 calls:

13.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
9.0ms	(* y (+ (* (+ y a) y) b))
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
26.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* y (+ (* (+ y a) y) b)) c) y) i))

series509.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
38.0ms	(* y (+ (* (+ y a) y) b))
51.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
337.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* y (+ (* (+ y a) y) b)) c) y) i))

simplify75.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	537	1310
1	2603	1184
2	5003	1184

prune446.0ms

Filtered

105 candidates to 77 candidates (73.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	106	9	115

Merged error: 24.6b

Counts

115 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.3b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
24.9b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite66.0ms

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:

9.0ms	(* (+ (* (+ y a) y) b) y)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
13.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series477.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (+ (* (+ y a) y) b) y)
51.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
55.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
332.0ms	(* (+ (* (+ (* (+ (* (+ (* 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 (60.0ms)

Iter	Nodes	Cost
0	563	1666
1	2751	1468
2	5002	1442

prune488.0ms

Filtered

127 candidates to 82 candidates (64.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	127	9	136

Merged error: 24.6b

Counts

136 → 9

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
25.0b	(/ (+ (* (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) (* (cbrt y) (cbrt y))) (cbrt y)) t) (+ (* (+ (* y (+ (* (+ y a) y) b)) c) y) i))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
32.0ms	(/ (+ (* (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) (* (cbrt y) (cbrt y))) (cbrt y)) t) (+ (* (+ (* y (+ (* (+ y a) y) b)) c) y) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt y)
175.0ms	(cbrt y)
181.0ms	(cbrt y)
484.0ms	(/ (+ (* (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) (* (cbrt y) (cbrt y))) (cbrt y)) t) (+ (* (+ (* y (+ (* (+ y a) y) b)) c) y) i))

simplify163.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (153.0ms)

Iter	Nodes	Cost
0	262	1138
1	935	1040
2	4817	1033
3	5001	1030

prune380.0ms

Filtered

76 candidates to 62 candidates (81.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	76	9	85

Merged error: 24.6b

Counts

85 → 9

regimes640.0ms

Accuracy

0% (1.1b remaining)

Error of 28.9b against oracle of 27.8b and baseline of 28.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	17
1	46	17

end0.0ms

sample899.0ms

Algorithm

intervals

Results

542.0ms

8247×

body

valid