Details

sample44.0ms

Algorithm

intervals

Results

24.0ms

263×

body

valid

simplify106.0ms

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: 28.9b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
28.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite56.0ms

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:

11.0ms	(* (+ (* (+ y a) y) b) y)
10.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
7.0ms	(* (+ (* 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))

series450.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (+ (* (+ y a) y) b) y)
56.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
33.0ms	(* (+ (* x y) z) y)
327.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify70.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	509	1200
1	2222	1083
2	5001	1081

prune460.0ms

Filtered

103 candidates to 75 candidates (72.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	88	15	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	15	104

Merged error: 27.9b

Counts

104 → 15

localize31.0ms

Local error

Found 4 expressions with local error:

23.0b	(cbrt (* (+ (* x y) z) y))
23.0b	(cbrt (* (+ (* x y) z) y))
23.0b	(cbrt (* (+ (* x y) z) y))
28.2b	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite51.0ms

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:

5.0ms	(cbrt (* (+ (* x y) z) y))
5.0ms	(cbrt (* (+ (* x y) z) y))
5.0ms	(cbrt (* (+ (* x y) z) y))
33.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series788.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (* (+ (* x y) z) y))
124.0ms	(cbrt (* (+ (* x y) z) y))
125.0ms	(cbrt (* (+ (* x y) z) y))
411.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify47.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	393	1666
1	1226	1529
2	5001	1486

prune463.0ms

Filtered

76 candidates to 67 candidates (88.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	77	14	91

Merged error: 27.9b

Counts

91 → 14

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (pow (cbrt (* (+ (* x y) z) y)) 3))
0.5b	(pow (cbrt (* (+ (* x y) z) y)) 3)
23.0b	(cbrt (* (+ (* x y) z) y))
28.2b	(/ (+ (+ t (* y 230661.510616)) (* y (+ (* y 27464.7644705) (* y (pow (cbrt (* (+ (* x y) z) y)) 3))))) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-r`
12×	`add-exp-log`
9×	`unpow-prod-down` `flip3-+` `times-frac` `cube-prod` `flip-+`
8×	`add-cbrt-cube`
6×	`cbrt-div` `associate-r/` `associate-l/` `associate-/l/`
5×	`pow1` `cbrt-prod`
4×	`cube-div` `frac-add` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `associate-l` `prod-exp` `associate-/r` `associate-/l` `sqr-pow`
2×	`cube-mult` `pow-to-exp` `pow-pow` `pow1/3` `unpow3` `pow-exp` `associate-/r/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `rem-cube-cbrt`

Counts

4 → 109

Calls

4 calls:

8.0ms	(* y (pow (cbrt (* (+ (* x y) z) y)) 3))
4.0ms	(pow (cbrt (* (+ (* x y) z) y)) 3)
5.0ms	(cbrt (* (+ (* x y) z) y))
20.0ms	(/ (+ (+ t (* y 230661.510616)) (* y (+ (* y 27464.7644705) (* y (pow (cbrt (* (+ (* x y) z) y)) 3))))) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series734.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* y (pow (cbrt (* (+ (* x y) z) y)) 3))
157.0ms	(pow (cbrt (* (+ (* x y) z) y)) 3)
129.0ms	(cbrt (* (+ (* x y) z) y))
385.0ms	(/ (+ (+ t (* y 230661.510616)) (* y (+ (* y 27464.7644705) (* y (pow (cbrt (* (+ (* x y) z) y)) 3))))) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify148.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (131.0ms)

Iter	Nodes	Cost
0	694	1665
1	3830	1484
2	5001	1465

prune597.0ms

Filtered

121 candidates to 87 candidates (71.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	121	14	135

Merged error: 27.9b

Counts

135 → 14

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.5b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
28.0b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite62.0ms

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 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)))

series471.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
36.0ms	(* (+ (* x y) z) y)
50.0ms	(/ 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)))

simplify79.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	550	1633
1	2657	1447
2	5001	1421

prune407.0ms

Filtered

127 candidates to 81 candidates (63.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	127	14	141

Merged error: 27.9b

Counts

141 → 14

regimes773.0ms

Accuracy

0% (1.1b remaining)

Error of 29.0b against oracle of 27.9b and baseline of 29.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	20
1	48	20

end0.0ms

sample1.0s

Algorithm

intervals

Results

681.0ms

8224×

body

valid