Details

Time bar (total: 6.5s)

sample59.0ms

Algorithm
intervals
Results
36.0ms381×body80valid

simplify143.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (141.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.6b

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)
3.9b
(/ (* t a) c)
11.7b
(/ (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)
3.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series348.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(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)
63.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify40.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0284424
11137356
25001355

prune329.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
2.2b
(/ (fma (* 9.0 x) y b) c)
3.9b
(/ (* t a) c)
6.0b
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
37×times-frac
33×add-exp-log
30×*-un-lft-identity
28×add-cube-cbrt
23×add-cbrt-cube
13×associate-*r* associate-*l*
11×div-exp
9×prod-exp
7×cbrt-undiv
6×pow1 associate-/r* unswap-sqr
5×cbrt-unprod
4×expm1-log1p-u log1p-expm1-u div-inv associate-/l* add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 120
Calls
4 calls:
0.0ms
(fma (* 9.0 x) y b)
2.0ms
(/ (fma (* 9.0 x) y b) c)
3.0ms
(/ (* t a) c)
17.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

series211.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(fma (* 9.0 x) y b)
63.0ms
(/ (fma (* 9.0 x) y b) c)
26.0ms
(/ (* t a) c)
80.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

simplify63.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0491790
12242685
25001679

prune512.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.9b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
2.2b
(/ (fma (* 9.0 x) y b) c)
5.7b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
6.0b
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
62×times-frac
49×add-exp-log
44×*-un-lft-identity
42×add-cube-cbrt
35×associate-*r*
32×add-cbrt-cube
20×associate-*l*
16×div-exp prod-exp
14×cbrt-prod
12×cbrt-undiv cbrt-unprod unswap-sqr
8×pow1
5×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
2×frac-times rec-exp 1-exp associate-*r/ pow-prod-down associate-*l/ *-commutative
1×frac-2neg pow1/3 clear-num
Counts
4 → 161
Calls
4 calls:
1.0ms
(cbrt c)
2.0ms
(/ (fma (* 9.0 x) y b) c)
24.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
14.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

series399.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt c)
64.0ms
(/ (fma (* 9.0 x) y b) c)
57.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
83.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

simplify99.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07931317
138711087
250021040

prune749.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
2.2b
(/ (fma (* 9.0 x) y b) c)
6.0b
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))
7.0b
(* t (/ a c))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
44×times-frac
36×*-un-lft-identity
34×add-cube-cbrt
33×add-exp-log
26×associate-*r*
23×add-cbrt-cube
16×associate-*l*
10×div-exp prod-exp
8×pow1 unswap-sqr
6×cbrt-undiv cbrt-unprod
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×associate-/r* associate-/l*
2×rec-exp 1-exp associate-*r/ pow-prod-down *-commutative
1×frac-times frac-2neg associate-*l/ clear-num fma-udef
Counts
4 → 131
Calls
4 calls:
0.0ms
(fma (* 9.0 x) y b)
2.0ms
(/ (fma (* 9.0 x) y b) c)
14.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))
8.0ms
(* t (/ a c))

series207.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma (* 9.0 x) y b)
69.0ms
(/ (fma (* 9.0 x) y b) c)
77.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))
26.0ms
(* t (/ a c))

simplify72.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0542838
12416733
25002727

prune509.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 3.9b

regimes890.0ms

Accuracy

49.4% (3.8b remaining)

Error of 7.6b against oracle of 3.8b and baseline of 11.3b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06061
16061

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s12799×body80valid