Details

sample37.0ms

Algorithm

intervals

Results

18.0ms

266×

body

valid

simplify101.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
26.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite114.0ms

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:

31.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
20.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
10.0ms	(* (+ (* x y) z) y)
51.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series469.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
50.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
36.0ms	(* (+ (* x y) z) y)
317.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify62.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (50.0ms)

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

prune464.0ms

Filtered

103 candidates to 76 candidates (73.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 26.0b

localize27.0ms

Local error

Found 4 expressions with local error:

9.4b	(cbrt (+ (* x y) z))
9.4b	(cbrt (+ (* x y) z))
9.4b	(cbrt (+ (* x y) z))
26.2b	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite184.0ms

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:

2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
2.0ms	(cbrt (+ (* x y) z))
175.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series628.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (+ (* x y) z))
101.0ms	(cbrt (+ (* x y) z))
102.0ms	(cbrt (+ (* x y) z))
324.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (cbrt (+ (* x y) z)) y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	350	1532
1	1141	1409
2	5001	1391

prune661.0ms

Filtered

82 candidates to 71 candidates (86.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 26.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
26.2b	(/ (+ (* (+ (* (+ (* (* (+ (* x y) z) (* (cbrt y) (cbrt y))) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite168.0ms

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:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
165.0ms	(/ (+ (* (+ (* (+ (* (* (+ (* x y) z) (* (cbrt y) (cbrt y))) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series915.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt y)
166.0ms	(cbrt y)
167.0ms	(cbrt y)
398.0ms	(/ (+ (* (+ (* (+ (* (* (+ (* x y) z) (* (cbrt y) (cbrt y))) (cbrt y)) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify98.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	256	1138
1	869	1043
2	3735	1037
3	5001	1034

prune400.0ms

Filtered

76 candidates to 62 candidates (81.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 26.0b

localize28.0ms

Local error

Found 4 expressions with local error:

21.6b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
21.6b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
21.6b	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
26.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

rewrite235.0ms

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:

8.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
8.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
8.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
210.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

series723.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
130.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
129.0ms	(cbrt (+ (* (+ (* (+ y a) y) b) y) c))
327.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) (cbrt (+ (* (+ (* (+ y a) y) b) y) c))) (* (cbrt (+ (* (+ (* (+ y a) y) b) y) c)) y)) i))

simplify126.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (110.0ms)

Iter	Nodes	Cost
0	304	1973
1	1036	1795
2	4590	1763
3	5001	1757

prune410.0ms

Filtered

82 candidates to 68 candidates (82.9%)

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 26.0b

regimes631.0ms

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	41	16
1	41	16

end0.0ms

sample941.0ms

Algorithm

intervals

Results

580.0ms

8246×

body

valid