Details

Time bar (total: 5.6s)

sample63.0ms

Algorithm
intervals
Results
40.0ms436×body80valid

simplify141.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (139.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.0b

localize13.0ms

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)
4.6b
(/ (* t a) c)
10.6b
(/ (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))

series308.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
30.0ms
(fma x (* 9.0 y) b)
19.0ms
(/ (* t a) c)
54.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify40.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0284424
11137356
25001355

prune293.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
0.6b
(cbrt c)
5.1b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
10.6b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×div-inv associate-/l*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
4 → 110
Calls
4 calls:
0.0ms
(cbrt c)
0.0ms
(cbrt c)
24.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series450.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt c)
172.0ms
(cbrt c)
51.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
51.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify70.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0552862
12701698
25001661

prune532.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma x (* 9.0 y) b)
0.8b
(/ 1 (/ (* z c) (fma x (* 9.0 y) b)))
4.6b
(/ (* t a) c)
10.4b
(/ (* z c) (fma x (* 9.0 y) b))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
35×add-exp-log
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
23×add-cbrt-cube
16×div-exp
13×associate-/r*
9×cbrt-undiv
7×div-inv
5×pow1 prod-exp associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rec-exp frac-2neg 1-exp clear-num cbrt-unprod
1×pow-flip associate-/r/ fma-udef inv-pow
Counts
4 → 114
Calls
4 calls:
0.0ms
(fma x (* 9.0 y) b)
6.0ms
(/ 1 (/ (* z c) (fma x (* 9.0 y) b)))
3.0ms
(/ (* t a) c)
3.0ms
(/ (* z c) (fma x (* 9.0 y) b))

series177.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(fma x (* 9.0 y) b)
69.0ms
(/ 1 (/ (* z c) (fma x (* 9.0 y) b)))
20.0ms
(/ (* t a) c)
58.0ms
(/ (* z c) (fma x (* 9.0 y) b))

simplify55.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0424799
12085685
25001652

prune377.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma x (* 9.0 y) b)
0.8b
(/ 1 (/ c (* t a)))
4.2b
(/ c (* t a))
10.6b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
35×add-exp-log
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
23×add-cbrt-cube
16×div-exp
9×cbrt-undiv associate-/r* associate-/l*
7×div-inv
5×pow1 prod-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rec-exp frac-2neg 1-exp clear-num cbrt-unprod
1×pow-flip associate-/r/ fma-udef inv-pow
Counts
4 → 114
Calls
4 calls:
0.0ms
(fma x (* 9.0 y) b)
6.0ms
(/ 1 (/ c (* t a)))
6.0ms
(/ c (* t a))
3.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series127.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(fma x (* 9.0 y) b)
26.0ms
(/ 1 (/ c (* t a)))
19.0ms
(/ c (* t a))
51.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify51.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0411625
11795524
25001485

prune334.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.0b

regimes745.0ms

Accuracy

54.7% (3.9b remaining)

Error of 7.1b against oracle of 3.2b and baseline of 11.8b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05579
15579

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s12819×body80valid