Details

Time bar (total: 5.5s)

sample45.0ms

Algorithm
intervals
Results
17.0ms417×body80valid

simplify134.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (132.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.6b

localize18.0ms

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)
6.9b
(/ (* t a) c)
9.7b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite19.0ms

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

series277.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
27.0ms
(fma x (* 9.0 y) b)
21.0ms
(/ (* t a) c)
47.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify33.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0284424
11137356
25001355

prune284.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.9b

localize18.0ms

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)
4.6b
(/ t (/ c a))
9.7b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite21.0ms

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

series273.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
28.0ms
(fma x (* 9.0 y) b)
18.0ms
(/ t (/ c a))
55.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify50.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0489787
11882713
25001712

prune479.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
3.6b
(/ b (* z c))
4.6b
(/ t (/ c a))
9.2b
(/ (* x y) (* z c))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
79×times-frac
48×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
26×add-exp-log add-cbrt-cube
15×associate-/r*
9×cbrt-undiv div-exp
7×div-inv associate-/l*
5×prod-exp cbrt-unprod
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×associate-/r/ fma-udef
Counts
4 → 128
Calls
4 calls:
0.0ms
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
7.0ms
(/ b (* z c))
8.0ms
(/ t (/ c a))
13.0ms
(/ (* x y) (* z c))

series145.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
18.0ms
(/ b (* z c))
19.0ms
(/ t (/ c a))
31.0ms
(/ (* x y) (* z c))

simplify61.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0562788
12572705
25001705

prune690.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

3.6b
(/ b (* z c))
4.1b
(/ (* z c) y)
4.6b
(/ t (/ c a))
4.9b
(/ x (/ (* z c) y))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
66×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
28×add-exp-log add-cbrt-cube
24×associate-/r*
12×cbrt-undiv div-exp div-inv
10×associate-/l*
4×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod
2×associate-/r/
Counts
4 → 168
Calls
4 calls:
9.0ms
(/ b (* z c))
9.0ms
(/ (* z c) y)
9.0ms
(/ t (/ c a))
10.0ms
(/ x (/ (* z c) y))

series84.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ b (* z c))
17.0ms
(/ (* z c) y)
18.0ms
(/ t (/ c a))
28.0ms
(/ x (/ (* z c) y))

simplify69.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0678961
13045882
25002882

prune609.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes812.0ms

Accuracy

63.1% (3.7b remaining)

Error of 3.9b against oracle of 0.2b and baseline of 10.3b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06488
16488

end0.0ms

sample1.2s

Algorithm
intervals
Results
558.0ms12772×body80valid