Details

Time bar (total: 5.9s)

sample43.0ms

Algorithm
intervals
Results
20.0ms423×body80valid

simplify137.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (135.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.0b

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)))
0.1b
(fma x (* 9.0 y) b)
5.1b
(/ (* t a) c)
10.4b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite12.0ms

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))

series325.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
36.0ms
(fma x (* 9.0 y) b)
19.0ms
(/ (* t a) c)
54.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify38.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0284424
11137356
25001355

prune326.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
1.7b
(/ (fma (* 9.0 x) y b) z)
5.1b
(/ (* t a) c)
6.5b
(/ (/ (fma (* 9.0 x) y b) z) c)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/l*
16×add-exp-log add-cbrt-cube
9×associate-/r*
7×div-inv
6×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×prod-exp cbrt-unprod fma-udef associate-/l/
Counts
4 → 134
Calls
4 calls:
0.0ms
(fma (* 9.0 x) y b)
2.0ms
(/ (fma (* 9.0 x) y b) z)
3.0ms
(/ (* t a) c)
6.0ms
(/ (/ (fma (* 9.0 x) y b) z) c)

series190.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(fma (* 9.0 x) y b)
63.0ms
(/ (fma (* 9.0 x) y b) z)
21.0ms
(/ (* t a) c)
64.0ms
(/ (/ (fma (* 9.0 x) y b) z) c)

simplify55.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
04821010
11796945
25001945

prune615.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.4b

localize28.0ms

Local error

Found 4 expressions with local error:

3.9b
(cbrt (fma (* 9.0 x) y b))
3.9b
(cbrt (fma (* 9.0 x) y b))
3.9b
(cbrt (fma (* 9.0 x) y b))
5.1b
(/ (* t a) c)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 associate-/r*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 62
Calls
4 calls:
1.0ms
(cbrt (fma (* 9.0 x) y b))
1.0ms
(cbrt (fma (* 9.0 x) y b))
1.0ms
(cbrt (fma (* 9.0 x) y b))
3.0ms
(/ (* t a) c)

series530.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt (fma (* 9.0 x) y b))
172.0ms
(cbrt (fma (* 9.0 x) y b))
166.0ms
(cbrt (fma (* 9.0 x) y b))
21.0ms
(/ (* t a) c)

simplify106.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0212385
1777346
23779340
35001331

prune452.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (* x y))
1.7b
(/ (+ (* 9.0 (* x y)) b) z)
5.1b
(/ (* t a) c)
6.5b
(/ (/ (+ (* 9.0 (* x y)) b) z) c)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
57×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×add-exp-log add-cbrt-cube
17×associate-/l*
9×pow1 associate-/r*
7×div-inv
6×cbrt-undiv div-exp
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* pow-prod-down clear-num associate-/l/
1×flip3-+ associate-*r* *-commutative flip-+
Counts
4 → 146
Calls
4 calls:
6.0ms
(* 9.0 (* x y))
17.0ms
(/ (+ (* 9.0 (* x y)) b) z)
3.0ms
(/ (* t a) c)
19.0ms
(/ (/ (+ (* 9.0 (* x y)) b) z) c)

series170.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* 9.0 (* x y))
70.0ms
(/ (+ (* 9.0 (* x y)) b) z)
21.0ms
(/ (* t a) c)
57.0ms
(/ (/ (+ (* 9.0 (* x y)) b) z) c)

simplify68.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05991184
122701100
250021095

prune604.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.4b

regimes936.0ms

Accuracy

31% (3.6b remaining)

Error of 7.5b against oracle of 3.9b and baseline of 9.2b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05562
15562

end0.0ms

sample1.1s

Algorithm
intervals
Results
625.0ms12728×body80valid