Details

Time bar (total: 6.2s)

sample54.0ms

Algorithm
intervals
Results
32.0ms398×body80valid

simplify143.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (142.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
0.6b
(fma x (* 9.0 y) b)
5.9b
(/ (* t a) c)
12.2b
(/ (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))

series314.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
31.0ms
(fma x (* 9.0 y) b)
23.0ms
(/ (* t a) c)
53.0ms
(/ (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

prune319.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(fma (* 9.0 x) y b)
2.9b
(/ (fma (* 9.0 x) y b) z)
5.7b
(/ (/ (fma (* 9.0 x) y b) z) c)
5.9b
(/ (* t a) 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)
6.0ms
(/ (/ (fma (* 9.0 x) y b) z) c)
3.0ms
(/ (* t a) c)

series170.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(fma (* 9.0 x) y b)
61.0ms
(/ (fma (* 9.0 x) y b) z)
57.0ms
(/ (/ (fma (* 9.0 x) y b) z) c)
20.0ms
(/ (* t a) c)

simplify51.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
04821010
11796945
25001945

prune564.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(fma (* 9.0 x) y b)
2.9b
(/ (fma (* 9.0 x) y b) z)
4.7b
(* t (/ a c))
5.7b
(/ (/ (fma (* 9.0 x) y b) z) c)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
94×times-frac
67×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube associate-/l*
13×associate-*r*
7×div-inv
6×pow1 associate-/r*
5×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l*
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×associate-*r/ pow-prod-down *-commutative fma-udef associate-/l/
Counts
4 → 145
Calls
4 calls:
0.0ms
(fma (* 9.0 x) y b)
4.0ms
(/ (fma (* 9.0 x) y b) z)
7.0ms
(* t (/ a c))
6.0ms
(/ (/ (fma (* 9.0 x) y b) z) c)

series164.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(fma (* 9.0 x) y b)
60.0ms
(/ (fma (* 9.0 x) y b) z)
19.0ms
(* t (/ a c))
53.0ms
(/ (/ (fma (* 9.0 x) y b) z) c)

simplify62.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05331058
11972993
25001993

prune603.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
2.9b
(/ (fma (* 9.0 x) y b) z)
5.4b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
5.7b
(/ (/ (fma (* 9.0 x) y b) z) c)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
112×times-frac
86×add-sqr-sqrt
70×add-cube-cbrt *-un-lft-identity
32×add-exp-log
25×add-cbrt-cube
22×associate-*r*
16×associate-/l*
14×cbrt-prod
11×cbrt-undiv div-exp
8×prod-exp cbrt-unprod div-inv
7×associate-*l*
6×pow1 associate-/r* unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 175
Calls
4 calls:
0.0ms
(cbrt c)
2.0ms
(/ (fma (* 9.0 x) y b) z)
23.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
8.0ms
(/ (/ (fma (* 9.0 x) y b) z) c)

series340.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt c)
61.0ms
(/ (fma (* 9.0 x) y b) z)
49.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
57.0ms
(/ (/ (fma (* 9.0 x) y b) z) c)

simplify83.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
07851537
135541332
250011288

prune765.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.7b

regimes590.0ms

Accuracy

44.5% (5.7b remaining)

Error of 9.1b against oracle of 3.4b and baseline of 13.7b

bsearch178.0ms

Steps
ItersRangePoint
6
1.606395692210711e+156
1.1937552692612344e+157
2.1500553723192656e+156
10
-5.461980415422676e-146
-9.049678861190094e-163
-5.353008586213498e-146

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04319
14319

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s12765×body80valid