Details

Time bar (total: 5.7s)

sample41.0ms

Algorithm
intervals
Results
18.0ms395×body80valid

simplify144.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (143.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune11.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
0.4b
(fma x (* 9.0 y) b)
6.2b
(/ (* t a) c)
11.6b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite16.0ms

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:
1.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
8.0ms
(/ (* t a) c)
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series344.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
38.0ms
(fma x (* 9.0 y) b)
21.0ms
(/ (* t a) c)
60.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify39.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0284424
11137356
25001355

prune336.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.9b

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)))
0.4b
(fma x (* 9.0 y) b)
4.9b
(/ t (/ c a))
11.6b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite17.0ms

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:
1.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
6.0ms
(/ t (/ c a))
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series334.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
36.0ms
(fma x (* 9.0 y) b)
23.0ms
(/ t (/ c a))
63.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify57.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0489787
11882713
25001712

prune523.0ms

Filtered
127 candidates to 102 candidates (80.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
3.8b
(/ b (* z c))
4.9b
(/ t (/ c a))
11.6b
(/ (* x y) (* z c))

rewrite22.0ms

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:
1.0ms
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
4.0ms
(/ b (* z c))
6.0ms
(/ t (/ c a))
6.0ms
(/ (* x y) (* z c))

series176.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
23.0ms
(/ b (* z c))
23.0ms
(/ t (/ c a))
35.0ms
(/ (* x y) (* z c))

simplify67.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0562788
12572705
25001705

prune567.0ms

Filtered
140 candidates to 104 candidates (74.3%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

3.8b
(/ b (* z c))
3.9b
(/ (* z c) y)
4.9b
(/ t (/ c a))
6.0b
(/ x (/ (* z c) y))

rewrite28.0ms

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:
4.0ms
(/ b (* z c))
5.0ms
(/ (* z c) y)
6.0ms
(/ t (/ c a))
6.0ms
(/ x (/ (* z c) y))

series105.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ b (* z c))
21.0ms
(/ (* z c) y)
28.0ms
(/ t (/ c a))
35.0ms
(/ x (/ (* z c) y))

simplify77.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
0678961
13045882
25002882

prune708.0ms

Filtered
180 candidates to 140 candidates (77.8%)
Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

regimes689.0ms

Accuracy

20.7% (7.8b remaining)

Error of 7.9b against oracle of 0.1b and baseline of 9.9b

bsearch212.0ms

Steps
ItersRangePoint
9
1.26880125744389e-56
2.1183458809958233e-50
9.250776958521618e-52
10
-2.898342474844448e+26
-829573048682.2681
-7.077298696577128e+17

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04732
14732

end0.0ms

sample1.1s

Algorithm
intervals
Results
615.0ms12931×body80valid