Details

sample43.0ms

Algorithm

intervals

Results

19.0ms

262×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	48	16
1	102	16
2	292	16
3	803	16
4	2143	16
5	3616	16
6	4166	16
7	5002	16

prune4.0ms

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

rewrite262.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 99

Calls

4 calls:

66.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
49.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
25.0ms	(* (+ (* x y) z) y)
117.0ms	(/ (+ (* (+ (* (+ (* (+ (* 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:

60.0ms	(* (+ (* (+ (* (+ y a) y) b) y) c) y)
50.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
30.0ms	(* (+ (* x y) z) y)
309.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify73.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	531	1215
1	2150	1085
2	5002	1065

prune573.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 31.0b

localize29.0ms

Local error

Found 4 expressions with local error:

22.4b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
22.4b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
22.4b	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
31.5b	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite416.0ms

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` `expm1-log1p-u` `log1p-expm1-u` `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 → 72

Calls

4 calls:

18.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
19.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
18.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
360.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series931.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
175.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
176.0ms	(cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))
405.0ms	(/ (+ (* (+ (* (* (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y)) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) (cbrt (* (+ (* (+ (* x y) z) y) 27464.7644705) y))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	424	2035
1	1313	1851
2	5002	1768

prune545.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 31.0b

localize29.0ms

Local error

Found 4 expressions with local error:

8.8b	(cbrt (+ (* x y) z))
8.8b	(cbrt (+ (* x y) z))
8.8b	(cbrt (+ (* x y) z))
31.5b	(/ (+ (* (+ (* (+ (* (* (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))

rewrite400.0ms

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` `expm1-log1p-u` `log1p-expm1-u` `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 → 78

Calls

4 calls:

5.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (+ (* x y) z))
6.0ms	(cbrt (+ (* x y) z))
382.0ms	(/ (+ (* (+ (* (+ (* (* (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))

series615.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (+ (* x y) z))
113.0ms	(cbrt (+ (* x y) z))
99.0ms	(cbrt (+ (* x y) z))
304.0ms	(/ (+ (* (+ (* (+ (* (* (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))

simplify45.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	370	1572
1	1194	1433
2	5001	1387

prune567.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 31.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.3b	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
31.4b	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
24×	`prod-exp`
22×	`add-cbrt-cube`
19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
12×	`1-exp` `div-exp`
9×	`associate-l`
7×	`cbrt-unprod`
6×	`rec-exp` `times-frac` `associate-*l/`
4×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `pow-prod-down` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`-commutative` `associate-/l` `unswap-sqr`
2×	`frac-times` `pow-flip` `div-inv`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/r` `un-div-inv` `inv-pow`

Counts

4 → 118

Calls

4 calls:

47.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
25.0ms	(* (+ (* x y) z) y)
11.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
148.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series421.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
33.0ms	(* (+ (* x y) z) y)
50.0ms	(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
292.0ms	(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify65.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	545	1168
1	2207	978
2	5003	910

prune507.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 31.0b

regimes548.0ms

Accuracy

0% (1.1b remaining)

Error of 29.2b against oracle of 28.1b and baseline of 29.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	25
1	45	25

end0.0ms

sample1.0s

Algorithm

intervals

Results

517.0ms

8230×

body

valid