Details

Time bar (total: 5.5s)

sample64.0ms

Algorithm
intervals
Results
41.0ms419×body80valid

simplify146.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (144.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune11.0ms

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)))
0.3b
(fma x (* 9.0 y) b)
6.8b
(/ (* t a) c)
9.8b
(/ (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))

series351.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
35.0ms
(fma x (* 9.0 y) b)
21.0ms
(/ (* t a) c)
64.0ms
(/ (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

prune335.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.4b

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)))
0.3b
(fma x (* 9.0 y) b)
5.6b
(* t (/ a c))
9.8b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite15.0ms

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-*r*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-*l* prod-exp cbrt-unprod associate-/l*
2×fma-udef div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 77
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)
7.0ms
(* t (/ a c))
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series345.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(fma (- 4.0) (* t (/ a c)) (/ (fma x (* 9.0 y) b) (* z c)))
39.0ms
(fma x (* 9.0 y) b)
21.0ms
(* t (/ a c))
59.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify46.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0339472
11368404
25001403

prune358.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (* t (/ a c)) (/ (fma (* 9.0 x) y b) (* z c)))
0.3b
(fma (* 9.0 x) y b)
5.6b
(* t (/ a c))
9.8b
(/ (fma (* 9.0 x) y b) (* z c))

rewrite15.0ms

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-*r*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-*l* prod-exp cbrt-unprod associate-/l*
2×fma-udef div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 77
Calls
4 calls:
0.0ms
(fma (- 4.0) (* t (/ a c)) (/ (fma (* 9.0 x) y b) (* z c)))
0.0ms
(fma (* 9.0 x) y b)
7.0ms
(* t (/ a c))
3.0ms
(/ (fma (* 9.0 x) y b) (* z c))

series347.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(fma (- 4.0) (* t (/ a c)) (/ (fma (* 9.0 x) y b) (* z c)))
39.0ms
(fma (* 9.0 x) y b)
21.0ms
(* t (/ a c))
60.0ms
(/ (fma (* 9.0 x) y b) (* z c))

simplify46.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0335469
11410404
25001403

prune347.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma x (* 9.0 y) b)
0.9b
(/ 1 (* z c))
5.6b
(* t (/ a c))
9.4b
(* (fma x (* 9.0 y) b) (/ 1 (* z c)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log
24×add-sqr-sqrt
23×add-cbrt-cube
20×associate-*r*
17×add-cube-cbrt *-un-lft-identity
16×times-frac
15×prod-exp
11×pow1
9×div-exp
7×cbrt-unprod
6×associate-*l*
5×cbrt-undiv
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow-prod-down div-inv associate-/l* unswap-sqr
2×pow-flip associate-*r/ *-commutative
1×frac-2neg clear-num associate-/r* un-div-inv fma-udef inv-pow
Counts
4 → 108
Calls
4 calls:
0.0ms
(fma x (* 9.0 y) b)
4.0ms
(/ 1 (* z c))
7.0ms
(* t (/ a c))
13.0ms
(* (fma x (* 9.0 y) b) (/ 1 (* z c)))

series137.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(fma x (* 9.0 y) b)
13.0ms
(/ 1 (* z c))
23.0ms
(* t (/ a c))
62.0ms
(* (fma x (* 9.0 y) b) (/ 1 (* z c)))

simplify54.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0406525
11779438
25002428

prune354.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.7b

regimes512.0ms

Accuracy

34.6% (5.1b remaining)

Error of 9.0b against oracle of 3.8b and baseline of 11.7b

bsearch167.0ms

Steps
ItersRangePoint
8
2.137303301082399e+57
2.6943421986288323e+60
5.3724041234523e+57
7
-1.1146843418052477e+46
-1.74548759368524e+44
-1.9994054055991995e+44

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04329
14329

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s12807×body80valid