Details

Time bar (total: 6.6s)

sample44.0ms

Algorithm
intervals
Results
17.0ms397×body80valid

simplify136.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (134.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.4b

localize14.0ms

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)
5.4b
(/ (* t a) c)
9.8b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite22.0ms

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)
9.0ms
(/ (* t a) c)
11.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series337.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
33.0ms
(fma x (* 9.0 y) b)
24.0ms
(/ (* t a) c)
58.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify35.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0284424
11137356
25001355

prune300.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
0.6b
(cbrt c)
2.6b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
9.8b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite59.0ms

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:
1.0ms
(cbrt c)
1.0ms
(cbrt c)
46.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
8.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series468.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt c)
179.0ms
(cbrt c)
53.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
58.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify67.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0552862
12701698
25001661

prune530.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.7b

localize27.0ms

Local error

Found 4 expressions with local error:

7.3b
(cbrt (/ t (* (cbrt c) (cbrt c))))
7.3b
(cbrt (/ t (* (cbrt c) (cbrt c))))
7.3b
(cbrt (/ t (* (cbrt c) (cbrt c))))
9.8b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 77
Calls
4 calls:
6.0ms
(cbrt (/ t (* (cbrt c) (cbrt c))))
6.0ms
(cbrt (/ t (* (cbrt c) (cbrt c))))
6.0ms
(cbrt (/ t (* (cbrt c) (cbrt c))))
7.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series510.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (/ t (* (cbrt c) (cbrt c))))
152.0ms
(cbrt (/ t (* (cbrt c) (cbrt c))))
146.0ms
(cbrt (/ t (* (cbrt c) (cbrt c))))
64.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify73.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0209649
1639588
23012582
35001582

prune495.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.7b

localize23.0ms

Local error

Found 4 expressions with local error:

4.2b
(/ (* (cbrt (fma x (* 9.0 y) b)) (cbrt (fma x (* 9.0 y) b))) (/ (* z c) (cbrt (fma x (* 9.0 y) b))))
4.5b
(cbrt (fma x (* 9.0 y) b))
4.5b
(cbrt (fma x (* 9.0 y) b))
4.5b
(cbrt (fma x (* 9.0 y) b))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×times-frac
15×cbrt-prod add-cbrt-cube
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×cbrt-undiv div-exp associate-/r*
5×prod-exp cbrt-unprod
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 div-inv
1×frac-2neg clear-num associate-/r/ associate-/l*
Counts
4 → 85
Calls
4 calls:
17.0ms
(/ (* (cbrt (fma x (* 9.0 y) b)) (cbrt (fma x (* 9.0 y) b))) (/ (* z c) (cbrt (fma x (* 9.0 y) b))))
1.0ms
(cbrt (fma x (* 9.0 y) b))
1.0ms
(cbrt (fma x (* 9.0 y) b))
1.0ms
(cbrt (fma x (* 9.0 y) b))

series523.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ (* (cbrt (fma x (* 9.0 y) b)) (cbrt (fma x (* 9.0 y) b))) (/ (* z c) (cbrt (fma x (* 9.0 y) b))))
157.0ms
(cbrt (fma x (* 9.0 y) b))
151.0ms
(cbrt (fma x (* 9.0 y) b))
157.0ms
(cbrt (fma x (* 9.0 y) b))

simplify52.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03721061
11644915
25001844

prune446.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 3.7b

regimes955.0ms

Accuracy

36.9% (5.0b remaining)

Error of 8.5b against oracle of 3.5b and baseline of 11.5b

bsearch110.0ms

Steps
ItersRangePoint
3
1.3250201232639763e-48
1.9652283823463643e-48
1.9225006531347632e-48
9
-4.1260184054233445e-55
-4.754863210183815e-62
-1.543905335657327e-60

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04430
14430

end0.0ms

sample1.3s

Algorithm
intervals
Results
567.0ms12796×body80valid