Details

sample51.0ms

Algorithm

intervals

Results

27.0ms

268×

body

valid

simplify99.0ms

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

prune7.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.3b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

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:

19.0ms	(* (+ (* x y) z) y)
37.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
22.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
48.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series543.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (+ (* x y) z) y)
66.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
51.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
394.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify96.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (73.0ms)

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

prune465.0ms

Filtered

103 candidates to 76 candidates (73.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 31.0b

localize32.0ms

Local error

Found 4 expressions with local error:

24.4b	(cbrt (* (+ (* x y) z) y))
24.4b	(cbrt (* (+ (* x y) z) y))
24.4b	(cbrt (* (+ (* x y) z) y))
31.5b	(/ (+ (* (+ (* (+ (* (* (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))

rewrite150.0ms

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:

4.0ms	(cbrt (* (+ (* x y) z) y))
4.0ms	(cbrt (* (+ (* x y) z) y))
4.0ms	(cbrt (* (+ (* x y) z) y))
136.0ms	(/ (+ (* (+ (* (+ (* (* (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))

series764.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (* (+ (* x y) z) y))
118.0ms	(cbrt (* (+ (* x y) z) y))
118.0ms	(cbrt (* (+ (* x y) z) y))
407.0ms	(/ (+ (* (+ (* (+ (* (* (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))

simplify43.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (29.0ms)

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

prune493.0ms

Filtered

76 candidates to 67 candidates (88.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 31.0b

localize29.0ms

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)
0.2b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
31.6b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite151.0ms

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:

30.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
20.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
47.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
48.0ms	(/ (+ (* (+ (* (+ (* (+ 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:

63.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
54.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
425.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
476.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify96.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (63.0ms)

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

prune566.0ms

Filtered

167 candidates to 96 candidates (57.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 31.0b

localize28.0ms

Local error

Found 4 expressions with local error:

6.2b	(* x (pow y 3))
6.4b	(* z (pow y 2))
7.7b	(+ (* x (pow y 3)) (* z (pow y 2)))
31.5b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (+ (* x (pow y 3)) (* z (pow y 2))) 230661.510616) y) t))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
20×	`associate-r`
19×	`add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`times-frac`
8×	`unpow-prod-down` `unswap-sqr`
6×	`associate-l` `prod-exp` `add-log-exp`
4×	`pow1` `cube-prod` `sqr-pow`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`pow-to-exp` `pow-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `associate-/l/` `unpow2`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `frac-2neg` `unpow3` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 100

Calls

4 calls:

7.0ms	(* x (pow y 3))
6.0ms	(* z (pow y 2))
3.0ms	(+ (* x (pow y 3)) (* z (pow y 2)))
56.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (+ (* x (pow y 3)) (* z (pow y 2))) 230661.510616) y) t))

series497.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* x (pow y 3))
29.0ms	(* z (pow y 2))
55.0ms	(+ (* x (pow y 3)) (* z (pow y 2)))
362.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (+ (* x (pow y 3)) (* z (pow y 2))) 230661.510616) y) t))

simplify72.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	468	1116
1	2028	1014
2	5003	1005

prune450.0ms

Filtered

112 candidates to 74 candidates (66.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 31.0b

regimes753.0ms

Accuracy

61.1% (0.4b remaining)

Error of 28.6b against oracle of 28.2b and baseline of 29.3b

bsearch4.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	43
1	60	43

end0.0ms

sample1.0s

Algorithm

intervals

Results

650.0ms

8245×

body

valid