Details

Time bar (total: 6.0s)

sample40.0ms

Algorithm
intervals
Results
18.0ms401×body80valid

simplify143.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (142.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.2b

localize19.0ms

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)
6.5b
(/ (* t a) c)
10.4b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
pow1 cbrt-undiv expm1-log1p-u div-exp associate-/r* log1p-expm1-u associate-/l* add-log-exp
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))

series320.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
34.0ms
(fma x (* 9.0 y) b)
25.0ms
(/ (* t a) c)
52.0ms
(/ (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

prune331.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.2b

localize15.0ms

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)
5.8b
(/ t (/ c a))
10.4b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite12.0ms

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
div-inv associate-/l*
cbrt-undiv div-exp
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
frac-2neg clear-num fma-udef
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)
5.0ms
(/ t (/ c a))
3.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series304.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(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))
57.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify58.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0489787
11882713
25001712

prune533.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
2.2b
(/ (fma (* 9.0 x) y b) c)
5.8b
(/ t (/ c a))
6.1b
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

rewrite27.0ms

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
cbrt-undiv prod-exp div-inv
pow1 associate-/l* unswap-sqr
expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
rec-exp frac-2neg 1-exp clear-num
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)
2.0ms
(/ (fma (* 9.0 x) y b) c)
5.0ms
(/ t (/ c a))
14.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

series190.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(fma (* 9.0 x) y b)
62.0ms
(/ (fma (* 9.0 x) y b) c)
20.0ms
(/ t (/ c a))
76.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

simplify83.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
07011157
130331043
250011036

prune730.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 2.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
2.2b
(/ (fma (* 9.0 x) y b) c)
5.8b
(/ t (/ c a))
6.0b
(/ (/ (fma (* 9.0 x) y b) c) z)

rewrite20.0ms

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
cbrt-undiv div-exp
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
frac-2neg clear-num
associate-/r/ fma-udef associate-/l/
Counts
4 → 183
Calls
4 calls:
0.0ms
(fma (* 9.0 x) y b)
2.0ms
(/ (fma (* 9.0 x) y b) c)
5.0ms
(/ t (/ c a))
6.0ms
(/ (/ (fma (* 9.0 x) y b) c) z)

series172.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(fma (* 9.0 x) y b)
63.0ms
(/ (fma (* 9.0 x) y b) c)
20.0ms
(/ t (/ c a))
57.0ms
(/ (/ (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

prune922.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.9b

regimes818.0ms

Accuracy

45.9% (4.4b remaining)

Error of 8.1b against oracle of 3.6b and baseline of 11.8b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06365
16365

end0.0ms

sample1.1s

Algorithm
intervals
Results
609.0ms12768×body80valid