Details

Time bar (total: 5.8s)

sample41.0ms

Algorithm
intervals
Results
19.0ms409×body80valid

simplify137.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (135.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune10.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.9b

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)))
0.1b
(fma x (* 9.0 y) b)
7.4b
(/ (* t a) c)
7.5b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite12.0ms

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:
1.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
4.0ms
(/ (* t a) c)
4.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series313.0ms

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))

simplify37.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0284424
11137356
25001355

prune320.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt c)
0.5b
(cbrt c)
4.3b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
7.5b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite26.0ms

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)
15.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series466.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt c)
175.0ms
(cbrt c)
52.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
58.0ms
(/ (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

prune564.0ms

Filtered
122 candidates to 97 candidates (79.5%)
Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
0.1b
(fma x (* 9.0 y) b)
7.0b
(/ t (/ c a))
7.5b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
48×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×add-exp-log associate-/r* add-cbrt-cube
6×div-inv associate-/l*
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num fma-udef
1×prod-exp associate-/r/ cbrt-unprod
Counts
4 → 115
Calls
4 calls:
1.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
6.0ms
(/ t (/ c a))
4.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series311.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
32.0ms
(fma x (* 9.0 y) b)
26.0ms
(/ t (/ c a))
55.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify55.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0489787
11882713
25001712

prune753.0ms

Filtered
127 candidates to 102 candidates (80.3%)
Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 4.0) (* (/ t c) a) (/ (fma x (* 9.0 y) b) (* z c)))
0.1b
(fma x (* 9.0 y) b)
4.7b
(* (/ t c) a)
7.5b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite18.0ms

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-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-*r* prod-exp cbrt-unprod associate-/l*
2×fma-udef div-inv unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
4 → 77
Calls
4 calls:
1.0ms
(fma (- 4.0) (* (/ t c) a) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
6.0ms
(* (/ t c) a)
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series307.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(fma (- 4.0) (* (/ t c) a) (/ (fma x (* 9.0 y) b) (* z c)))
35.0ms
(fma x (* 9.0 y) b)
21.0ms
(* (/ t c) a)
54.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify40.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0317463
11134393
25001393

prune304.0ms

Filtered
89 candidates to 69 candidates (77.5%)
Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 2.4b

regimes633.0ms

Accuracy

24.1% (5.7b remaining)

Error of 9.3b against oracle of 3.5b and baseline of 11.1b

bsearch188.0ms

Steps
ItersRangePoint
9
5.337444191331798e+58
3.650292936235805e+63
2.555792794426695e+59
8
-2.8886817856170016e+108
-6.493225115672483e+103
-1.6966248267782878e+105

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05332
15332

end0.0ms

sample1.2s

Algorithm
intervals
Results
649.0ms12769×body80valid