Details

Time bar (total: 6.3s)

sample42.0ms

Algorithm
intervals
Results
19.0ms385×body80valid

simplify153.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (151.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.2b

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)
6.2b
(/ (* t a) c)
12.6b
(/ (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))

series362.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
36.0ms
(fma x (* 9.0 y) b)
22.0ms
(/ (* t a) c)
66.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify43.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0284424
11137356
25001355

prune362.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.9b

localize16.0ms

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)
5.7b
(* t (/ a c))
12.6b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
14×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
13×times-frac associate-*r*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-*l* prod-exp cbrt-unprod associate-/l*
2×fma-udef div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
4 → 77
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)
8.0ms
(* t (/ a c))
3.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series597.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(fma (- 4.0) (* t (/ a c)) (/ (fma x (* 9.0 y) b) (* z c)))
36.0ms
(fma x (* 9.0 y) b)
22.0ms
(* t (/ a c))
297.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify54.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0339472
11368404
25001403

prune375.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
2.9b
(/ (fma (* 9.0 x) y b) c)
5.7b
(* t (/ a c))
6.5b
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

rewrite31.0ms

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)
8.0ms
(* t (/ a c))
15.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

series220.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(fma (* 9.0 x) y b)
72.0ms
(/ (fma (* 9.0 x) y b) c)
22.0ms
(* t (/ a c))
87.0ms
(* (/ 1 z) (/ (fma (* 9.0 x) y b) c))

simplify80.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0542838
12416733
25001727

prune592.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.6b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 9.0 x) y b)
2.9b
(/ (fma (* 9.0 x) y b) c)
5.7b
(* t (/ a c))
6.5b
(/ (/ (fma (* 9.0 x) y b) c) z)

rewrite22.0ms

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)
2.0ms
(/ (fma (* 9.0 x) y b) c)
8.0ms
(* t (/ a c))
6.0ms
(/ (/ (fma (* 9.0 x) y b) c) z)

series194.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma (* 9.0 x) y b)
71.0ms
(/ (fma (* 9.0 x) y b) c)
21.0ms
(* t (/ a c))
65.0ms
(/ (/ (fma (* 9.0 x) y b) c) z)

simplify69.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
05351058
11977993
25001993

prune673.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.6b

regimes621.0ms

Accuracy

-33.4% (8.3b remaining)

Error of 12.0b against oracle of 3.8b and baseline of 10.0b

bsearch502.0ms

Steps
ItersRangePoint
10
2.308573696785045e+154
2.415988616351189e+165
8.461866695914988e+163
8
3.5276053561013562e-34
2.8681152177763143e-31
6.605818124956139e-34
8
7.706953421200024e-257
2.5967752799641464e-254
1.5240544505773494e-254
5
1.0989215934007398e-270
2.3089893220712934e-270
1.5842725201760228e-270
7
-7.03326142866283e-265
-1.4394755535453437e-266
-3.464710530593988e-265
6
-1.053699565841664e+79
-1.8416458066075039e+78
-5.098942072881843e+78

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06764
16964
26964

end0.0ms

sample1.2s

Algorithm
intervals
Results
636.0ms12652×body80valid