Details

sample37.0ms

Algorithm

intervals

Results

16.0ms

265×

body

valid

simplify110.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)
26.2b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite133.0ms

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:

35.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
22.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
22.0ms	(* (+ (* (+ y a) y) b) y)
52.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series532.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
60.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
35.0ms	(* (+ (* (+ y a) y) b) y)
349.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify66.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (54.0ms)

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

prune483.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
0.1b	(* (+ (* (+ y a) y) b) y)
26.2b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite186.0ms

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:

23.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
27.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
20.0ms	(* (+ (* (+ y a) y) b) y)
113.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series486.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
53.0ms	(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
38.0ms	(* (+ (* (+ y a) y) b) y)
340.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify74.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (59.0ms)

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

prune489.0ms

Pruning

13 alts after pruning (12 fresh and 1 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) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

rewrite148.0ms

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)
145.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt y)
173.0ms	(cbrt y)
172.0ms	(cbrt y)
501.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (+ (* (+ y a) y) b) (* (cbrt y) (cbrt y))) (cbrt y)) c) y) i))

simplify101.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	256	1138
1	869	1043
2	3761	1037
3	5001	1034

prune455.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 26.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.3b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
26.4b	(/ (+ (* (+ (* (+ (* (+ 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:

21.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
21.0ms	(* (+ (* (+ y a) y) b) y)
48.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
55.0ms	(/ (+ (* (+ (* (+ (* (+ 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:

56.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
35.0ms	(* (+ (* (+ y a) y) b) y)
437.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
485.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify92.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	684	3583
1	3345	3308
2	5001	3228

prune545.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 26.0b

regimes627.0ms

Accuracy

0% (1.1b remaining)

Error of 28.6b against oracle of 27.5b and baseline of 28.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	17
1	46	17

end0.0ms

sample870.0ms

Algorithm

intervals

Results

517.0ms

8255×

body

valid