Details

Time bar (total: 5.8s)

sample48.0ms

Algorithm
intervals
Results
23.0ms415×body80valid

simplify172.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (170.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
0.1b
(fma x (* 9.0 y) b)
3.6b
(/ (* t a) c)
12.1b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
4×pow1 cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod fma-udef div-inv
Counts
4 → 66
Calls
4 calls:
0.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
0.0ms
(fma x (* 9.0 y) b)
3.0ms
(/ (* t a) c)
3.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series361.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
39.0ms
(fma x (* 9.0 y) b)
21.0ms
(/ (* t a) c)
66.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify50.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0284424
11137356
25001355

prune353.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
3.6b
(/ (* t a) c)
4.1b
(/ (fma (* 9.0 x) y b) c)
4.7b
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
37×times-frac
33×add-exp-log
30×*-un-lft-identity
28×add-cube-cbrt
23×add-cbrt-cube
13×associate-*r* associate-*l*
11×div-exp
9×prod-exp
7×cbrt-undiv
6×pow1 associate-/r* unswap-sqr
5×cbrt-unprod
4×expm1-log1p-u log1p-expm1-u div-inv associate-/l* add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 120
Calls
4 calls:
0.0ms
(fma (* 9.0 x) y b)
3.0ms
(/ (* t a) c)
2.0ms
(/ (fma (* 9.0 x) y b) c)
15.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

series219.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(fma (* 9.0 x) y b)
29.0ms
(/ (* t a) c)
65.0ms
(/ (fma (* 9.0 x) y b) c)
87.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

simplify76.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0491790
12242685
25001679

prune551.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.6b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
3.6b
(/ (* t a) c)
4.1b
(/ (fma (* 9.0 x) y b) c)
4.7b
(/ (/ (fma (* 9.0 x) y b) c) z)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/l*
16×add-exp-log add-cbrt-cube
9×associate-/r*
7×div-inv
6×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×prod-exp cbrt-unprod fma-udef associate-/l/
Counts
4 → 134
Calls
4 calls:
0.0ms
(fma (* 9.0 x) y b)
4.0ms
(/ (* t a) c)
2.0ms
(/ (fma (* 9.0 x) y b) c)
6.0ms
(/ (/ (fma (* 9.0 x) y b) c) z)

series198.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(fma (* 9.0 x) y b)
22.0ms
(/ (* t a) c)
66.0ms
(/ (fma (* 9.0 x) y b) c)
68.0ms
(/ (/ (fma (* 9.0 x) y b) c) z)

simplify70.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
04841010
11799945
25001945

prune753.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.6b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (* (* t a) (/ 1 c)) (/ (fma x (* 9.0 y) b) (* z c)))
0.1b
(fma x (* 9.0 y) b)
3.7b
(* (* t a) (/ 1 c))
12.1b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
21×add-cbrt-cube
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* prod-exp
12×times-frac
9×pow1
7×cbrt-unprod
6×div-exp
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down associate-/l*
2×rec-exp 1-exp fma-udef div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num associate-/r* un-div-inv *-commutative
Counts
4 → 83
Calls
4 calls:
0.0ms
(fma (- 4.0) (* (* t a) (/ 1 c)) (/ (fma x (* 9.0 y) b) (* z c)))
0.0ms
(fma x (* 9.0 y) b)
15.0ms
(* (* t a) (/ 1 c))
3.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series361.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(fma (- 4.0) (* (* t a) (/ 1 c)) (/ (fma x (* 9.0 y) b) (* z c)))
42.0ms
(fma x (* 9.0 y) b)
21.0ms
(* (* t a) (/ 1 c))
60.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify69.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0416536
11905437
25001423

prune340.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.6b

regimes818.0ms

Accuracy

43.5% (5.0b remaining)

Error of 8.9b against oracle of 3.9b and baseline of 12.7b

bsearch3.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05355
15355

end0.0ms

sample1.2s

Algorithm
intervals
Results
654.0ms12950×body80valid