Details

Time bar (total: 5.5s)

sample44.0ms

Algorithm
intervals
Results
21.0ms382×body80valid

simplify145.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (143.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.6b

localize14.0ms

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)
5.2b
(/ (* t a) c)
11.2b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite8.0ms

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))

series328.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
33.0ms
(fma x (* 9.0 y) b)
20.0ms
(/ (* t a) c)
58.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify40.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0284424
11137356
25001355

prune312.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.4b

localize14.0ms

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)
5.9b
(/ t (/ c a))
11.2b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite15.0ms

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)
5.0ms
(/ t (/ c a))
6.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series309.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
36.0ms
(fma x (* 9.0 y) b)
21.0ms
(/ t (/ c a))
55.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify57.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0489787
11882713
25001712

prune509.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
5.8b
(/ b (* z c))
5.9b
(/ t (/ c a))
9.7b
(/ (* x y) (* z c))

rewrite17.0ms

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)))
3.0ms
(/ b (* z c))
5.0ms
(/ t (/ c a))
4.0ms
(/ (* x y) (* z c))

series163.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
21.0ms
(/ b (* z c))
25.0ms
(/ t (/ c a))
29.0ms
(/ (* x y) (* z c))

simplify68.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0562788
12572705
25001705

prune534.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

5.6b
(/ (* z c) y)
5.8b
(/ b (* z c))
5.9b
(/ t (/ c a))
6.2b
(/ x (/ (* z c) y))

rewrite25.0ms

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:
3.0ms
(/ (* z c) y)
3.0ms
(/ b (* z c))
5.0ms
(/ t (/ c a))
5.0ms
(/ x (/ (* z c) y))

series101.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (* z c) y)
21.0ms
(/ b (* z c))
22.0ms
(/ t (/ c a))
32.0ms
(/ x (/ (* z c) y))

simplify76.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
0678961
13045882
25001882

prune692.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes812.0ms

Accuracy

22.4% (8.1b remaining)

Error of 8.2b against oracle of 0.1b and baseline of 10.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06973
16973

end0.0ms

sample1.1s

Algorithm
intervals
Results
636.0ms12704×body80valid