Details

sample38.0ms

Algorithm

intervals

Results

19.0ms

269×

body

valid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

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: 32.4b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
31.5b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite60.0ms

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

series488.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (+ (* (+ y a) y) b) y)
75.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
66.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
312.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify64.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	506	1320
1	2234	1201
2	5001	1201

prune450.0ms

Filtered

103 candidates to 77 candidates (74.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	91	12	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	12	104

Merged error: 31.1b

Counts

104 → 12

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
31.6b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite75.0ms

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:

13.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
13.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
12.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
34.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series526.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
54.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
64.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
327.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify81.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	554	1747
1	2706	1565
2	5002	1539

prune452.0ms

Filtered

127 candidates to 83 candidates (65.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	128	11	139

Merged error: 31.1b

Counts

139 → 11

localize32.0ms

Local error

Found 4 expressions with local error:

31.5b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))
32.0b	(cbrt (* (+ (* (+ y a) y) b) y))
32.0b	(cbrt (* (+ (* (+ y a) y) b) y))
32.0b	(cbrt (* (+ (* (+ y a) y) b) y))

rewrite56.0ms

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-*l/` `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:

32.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))
7.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
8.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
7.0ms	(cbrt (* (+ (* (+ y a) y) b) y))

series759.0ms

Counts

4 → 12

Calls

4 calls:

459.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))
100.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
99.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
101.0ms	(cbrt (* (+ (* (+ y a) y) b) y))

simplify114.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	302	1704
1	976	1552
2	4127	1483
3	5001	1436

prune420.0ms

Filtered

76 candidates to 66 candidates (86.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	76	11	87

Merged error: 31.1b

Counts

87 → 11

localize35.0ms

Local error

Found 4 expressions with local error:

24.3b	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
24.3b	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
24.3b	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
31.5b	(/ (+ (* (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))) (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

10.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
10.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
11.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
54.0ms	(/ (+ (* (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))) (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series850.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
175.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
170.0ms	(cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))
341.0ms	(/ (+ (* (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616))) (* (cbrt (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616)) y)) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify58.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	361	2188
1	1235	1993
2	5002	1935

prune424.0ms

Filtered

82 candidates to 71 candidates (86.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	81	12	93

Merged error: 31.1b

Counts

93 → 12

regimes622.0ms

Accuracy

0% (1.1b remaining)

Error of 29.1b against oracle of 28.0b and baseline of 29.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	17
1	46	17

end0.0ms

sample961.0ms

Algorithm

intervals

Results

603.0ms

8247×

body

valid