Details

sample37.0ms

Algorithm

intervals

Results

18.0ms

263×

body

valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* 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)
26.3b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite120.0ms

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:

31.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
19.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
21.0ms	(* (+ (* (+ y a) y) b) y)
46.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series472.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y)
53.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
33.0ms	(* (+ (* (+ y a) y) b) y)
308.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify68.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	539	1272
1	2202	1125
2	5001	1105

prune559.0ms

Filtered

111 candidates to 97 candidates (87.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 25.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* (+ y a) y) b) y)
0.2b	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
26.3b	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite135.0ms

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` `expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `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 → 163

Calls

4 calls:

19.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
17.0ms	(* (+ (* (+ y a) y) b) y)
43.0ms	(/ 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))

series913.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
35.0ms	(* (+ (* (+ y a) y) b) y)
389.0ms	(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
439.0ms	(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify98.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	709	3452
1	3238	3037
2	5001	2877

prune679.0ms

Filtered

175 candidates to 118 candidates (67.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 25.9b

localize26.0ms

Local error

Found 4 expressions with local error:

25.1b	(cbrt (* (+ (* (+ y a) y) b) y))
25.1b	(cbrt (* (+ (* (+ y a) y) b) y))
25.1b	(cbrt (* (+ (* (+ y a) y) b) y))
26.3b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

rewrite133.0ms

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:

6.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
6.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
6.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
113.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

series713.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
96.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
99.0ms	(cbrt (* (+ (* (+ y a) y) b) y))
422.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (* (+ (* (+ y a) y) b) y)) (cbrt (* (+ (* (+ y a) y) b) y))) (cbrt (* (+ (* (+ y a) y) b) y))) c) y) i))

simplify105.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	321	1765
1	1016	1596
2	4451	1516
3	5001	1503

prune501.0ms

Filtered

84 candidates to 78 candidates (92.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 25.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ y a) y) b) y)
8.4b	(* z (pow y 2))
9.1b	(fma x (pow y 3) (* z (pow y 2)))
26.3b	(/ (+ (* (+ (fma x (pow y 3) (* z (pow y 2))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log`
11×	`associate-r`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-l`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`associate-l/` `associate-/r/` `-commutative` `cbrt-unprod` `associate-/l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `fma-udef` `div-inv`

Counts

4 → 94

Calls

4 calls:

18.0ms	(* (+ (* (+ y a) y) b) y)
6.0ms	(* z (pow y 2))
0.0ms	(fma x (pow y 3) (* z (pow y 2)))
31.0ms	(/ (+ (* (+ (fma x (pow y 3) (* z (pow y 2))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series402.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (+ (* (+ y a) y) b) y)
31.0ms	(* z (pow y 2))
48.0ms	(fma x (pow y 3) (* z (pow y 2)))
291.0ms	(/ (+ (* (+ (fma x (pow y 3) (* z (pow y 2))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify57.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	441	1077
1	1875	965
2	5001	954

prune467.0ms

Filtered

106 candidates to 83 candidates (78.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 25.9b

regimes550.0ms

Accuracy

0% (1.2b remaining)

Error of 28.3b against oracle of 27.1b and baseline of 28.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	17
1	45	17

end0.0ms

sample939.0ms

Algorithm

intervals

Results

575.0ms

8230×

body

valid