Details

Time bar (total: 5.3s)

sample41.0ms

Algorithm
intervals
Results
16.0ms380×body80valid

simplify139.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (137.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.1b

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)
7.0b
(/ (* t a) c)
11.2b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite18.0ms

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)
7.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series478.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
29.0ms
(fma x (* 9.0 y) b)
216.0ms
(/ (* t a) c)
47.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify41.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0284424
11137356
25001355

prune292.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.7b

localize17.0ms

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)
7.2b
(/ t (/ c a))
11.2b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite20.0ms

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))
7.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series270.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
29.0ms
(fma x (* 9.0 y) b)
22.0ms
(/ t (/ c a))
47.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify53.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0489787
11882713
25001712

prune478.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.2b

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)
4.5b
(* (/ t c) a)
11.2b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
13×times-frac associate-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-*r* prod-exp cbrt-unprod associate-/l*
2×fma-udef div-inv unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
4 → 77
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)
14.0ms
(* (/ t c) a)
7.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series261.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(fma (- 4.0) (* (/ t c) a) (/ (fma x (* 9.0 y) b) (* z c)))
28.0ms
(fma x (* 9.0 y) b)
21.0ms
(* (/ t c) a)
47.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify38.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0317463
11134393
25001393

prune323.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
5.7b
(/ b (* z c))
7.2b
(/ t (/ c a))
9.0b
(/ (* x y) (* z c))

rewrite33.0ms

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))

series142.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(fma 9.0 (/ (* x y) (* z c)) (/ b (* z c)))
18.0ms
(/ b (* z c))
18.0ms
(/ t (/ c a))
31.0ms
(/ (* x y) (* z c))

simplify63.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0562788
12572705
25001705

prune483.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes546.0ms

Accuracy

39.5% (6.9b remaining)

Error of 7.1b against oracle of 0.1b and baseline of 11.6b

bsearch286.0ms

Steps
ItersRangePoint
9
3.444770690939341e+208
4.149700980456186e+214
1.085731230018495e+214
8
29315218.54038813
314318619024.89984
30632114.779552665
8
-6.538123844202999e+40
-1.0039053936159944e+37
-8.968353978877966e+38
9
-2.285141504050227e+247
-1.0636522673814799e+238
-9.755980397410744e+238

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04846
14846

end0.0ms

sample1.2s

Algorithm
intervals
Results
557.0ms12747×body80valid