Details

Time bar (total: 6.3s)

sample44.0ms

Algorithm
intervals
Results
17.0ms401×body80valid

simplify141.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (139.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.8b

localize21.0ms

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)
6.3b
(/ (* t a) c)
11.5b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite20.0ms

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)))
1.0ms
(fma x (* 9.0 y) b)
10.0ms
(/ (* t a) c)
8.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series321.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
32.0ms
(fma x (* 9.0 y) b)
24.0ms
(/ (* t a) c)
54.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify38.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0284424
11137356
25001355

prune523.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
0.1b
(fma x (* 9.0 y) b)
4.9b
(/ t (/ c a))
11.5b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
48×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×add-exp-log associate-/r* add-cbrt-cube
6×div-inv associate-/l*
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num fma-udef
1×prod-exp associate-/r/ cbrt-unprod
Counts
4 → 115
Calls
4 calls:
0.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
0.0ms
(fma x (* 9.0 y) b)
9.0ms
(/ t (/ c a))
10.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series311.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
35.0ms
(fma x (* 9.0 y) b)
20.0ms
(/ t (/ c a))
56.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify64.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0489787
11882713
25001712

prune510.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
2.0b
(/ (fma (* 9.0 x) y b) c)
4.9b
(/ t (/ c a))
6.2b
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
109×times-frac
85×add-sqr-sqrt
70×*-un-lft-identity
68×add-cube-cbrt
33×add-exp-log
23×add-cbrt-cube
16×associate-/r*
13×associate-*r* associate-*l*
12×div-exp
8×cbrt-undiv prod-exp div-inv
6×pow1 associate-/l* unswap-sqr
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative fma-udef
Counts
4 → 169
Calls
4 calls:
0.0ms
(fma (* 9.0 x) y b)
5.0ms
(/ (fma (* 9.0 x) y b) c)
9.0ms
(/ t (/ c a))
28.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

series196.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(fma (* 9.0 x) y b)
63.0ms
(/ (fma (* 9.0 x) y b) c)
23.0ms
(/ t (/ c a))
77.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

simplify78.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
07011157
130331043
250011036

prune709.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
2.0b
(/ (fma (* 9.0 x) y b) c)
4.9b
(/ t (/ c a))
6.1b
(/ (/ (fma (* 9.0 x) y b) c) z)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
96×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×associate-/r* associate-/l*
16×add-exp-log add-cbrt-cube
11×div-inv
7×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×associate-/r/ fma-udef associate-/l/
Counts
4 → 183
Calls
4 calls:
0.0ms
(fma (* 9.0 x) y b)
5.0ms
(/ (fma (* 9.0 x) y b) c)
9.0ms
(/ t (/ c a))
12.0ms
(/ (/ (fma (* 9.0 x) y b) c) z)

series177.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(fma (* 9.0 x) y b)
62.0ms
(/ (fma (* 9.0 x) y b) c)
22.0ms
(/ t (/ c a))
59.0ms
(/ (/ (fma (* 9.0 x) y b) c) z)

simplify72.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
06911377
126201307
250011307

prune745.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.2b

regimes753.0ms

Accuracy

55.7% (3.7b remaining)

Error of 7.4b against oracle of 3.7b and baseline of 12.0b

bsearch149.0ms

Steps
ItersRangePoint
8
6.0772273599592495e-24
2.3404894494403593e-20
1.72025379599218e-23
9
-4.990972665390285e+78
-1.4759693934645572e+72
-2.419323235237424e+72

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03316
13316

end0.0ms

sample1.2s

Algorithm
intervals
Results
565.0ms12776×body80valid