Details

Time bar (total: 5.8s)

sample42.0ms

Algorithm
intervals
Results
19.0ms392×body80valid

simplify167.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (164.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.2b

localize17.0ms

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)
4.1b
(/ (* t a) c)
10.8b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite9.0ms

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)
4.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series394.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
44.0ms
(fma x (* 9.0 y) b)
23.0ms
(/ (* t a) c)
72.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify46.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0284424
11137356
25001355

prune361.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
2.0b
(/ (fma (* 9.0 x) y b) z)
4.1b
(/ (* t a) c)
6.4b
(/ (/ (fma (* 9.0 x) y b) z) c)

rewrite18.0ms

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

series469.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(fma (* 9.0 x) y b)
70.0ms
(/ (fma (* 9.0 x) y b) z)
284.0ms
(/ (* t a) c)
70.0ms
(/ (/ (fma (* 9.0 x) y b) z) c)

simplify69.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
04821010
11796945
25001945

prune653.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma 9.0 (/ (* x y) z) (/ b z))
4.1b
(/ (* t a) c)
4.3b
(/ (* x y) z)
6.4b
(/ (fma 9.0 (/ (* x y) z) (/ b z)) c)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
15×times-frac
9×associate-/r*
5×cbrt-undiv div-exp associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num div-inv
2×prod-exp cbrt-unprod
1×fma-udef
Counts
4 → 85
Calls
4 calls:
0.0ms
(fma 9.0 (/ (* x y) z) (/ b z))
4.0ms
(/ (* t a) c)
3.0ms
(/ (* x y) z)
3.0ms
(/ (fma 9.0 (/ (* x y) z) (/ b z)) c)

series199.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(fma 9.0 (/ (* x y) z) (/ b z))
24.0ms
(/ (* t a) c)
23.0ms
(/ (* x y) z)
89.0ms
(/ (fma 9.0 (/ (* x y) z) (/ b z)) c)

simplify55.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0322537
11395475
25002475

prune420.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma 9.0 (* x (/ y z)) (/ b z))
4.1b
(/ (* t a) c)
4.1b
(* x (/ y z))
6.4b
(/ (fma 9.0 (* x (/ y z)) (/ b z)) c)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity times-frac
16×add-exp-log add-cbrt-cube
13×associate-*r*
6×pow1 associate-/r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l* add-log-exp
3×associate-*l* prod-exp cbrt-unprod div-inv
2×frac-2neg clear-num unswap-sqr
1×associate-*r/ pow-prod-down *-commutative fma-udef
Counts
4 → 96
Calls
4 calls:
0.0ms
(fma 9.0 (* x (/ y z)) (/ b z))
3.0ms
(/ (* t a) c)
8.0ms
(* x (/ y z))
3.0ms
(/ (fma 9.0 (* x (/ y z)) (/ b z)) c)

series204.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(fma 9.0 (* x (/ y z)) (/ b z))
24.0ms
(/ (* t a) c)
24.0ms
(* x (/ y z))
90.0ms
(/ (fma 9.0 (* x (/ y z)) (/ b z)) c)

simplify62.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0382585
11638523
25001523

prune426.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.5b

regimes937.0ms

Accuracy

74% (2.9b remaining)

Error of 4.8b against oracle of 1.8b and baseline of 13.1b

bsearch3.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06382
16382

end0.0ms

sample1.1s

Algorithm
intervals
Results
643.0ms12780×body80valid