Details

Time bar (total: 5.4s)

sample40.0ms

Algorithm
intervals
Results
17.0ms393×body80valid

simplify141.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (139.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune14.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.9b

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)
6.1b
(/ (* t a) c)
10.6b
(/ (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))

series333.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(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))

simplify37.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0284424
11137356
25001355

prune331.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.0b

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)
5.9b
(* t (/ a c))
10.6b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite14.0ms

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))

series337.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(fma (- 4.0) (* t (/ a c)) (/ (fma x (* 9.0 y) b) (* z c)))
33.0ms
(fma x (* 9.0 y) b)
20.0ms
(* t (/ a c))
60.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify43.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0339472
11368404
25001403

prune357.0ms

Filtered
89 candidates to 67 candidates (75.3%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.7b

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)
6.2b
(/ t (/ c a))
10.6b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite13.0ms

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:
0.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
0.0ms
(fma x (* 9.0 y) b)
5.0ms
(/ t (/ c a))
3.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series322.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
32.0ms
(fma x (* 9.0 y) b)
22.0ms
(/ t (/ c a))
60.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify57.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0489787
11882713
25001712

prune582.0ms

Filtered
127 candidates to 104 candidates (81.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.7b

localize15.0ms

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)
3.7b
(* (/ t c) a)
10.6b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite19.0ms

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:
0.0ms
(fma (- 4.0) (* (/ t c) a) (/ (fma x (* 9.0 y) b) (* z c)))
0.0ms
(fma x (* 9.0 y) b)
12.0ms
(* (/ t c) a)
4.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series344.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(fma (- 4.0) (* (/ t c) a) (/ (fma x (* 9.0 y) b) (* z c)))
44.0ms
(fma x (* 9.0 y) b)
23.0ms
(* (/ t c) a)
61.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify40.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0317463
11134393
25001393

prune332.0ms

Filtered
89 candidates to 69 candidates (77.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.7b

regimes656.0ms

Accuracy

25.8% (5.8b remaining)

Error of 9.6b against oracle of 3.8b and baseline of 11.6b

bsearch166.0ms

Steps
ItersRangePoint
9
1.8689300706986767e-90
1.7698368810529997e-85
1.7491363804533648e-85
7
-8.070824475818105e-54
-4.78989651278668e-56
-7.319233421907112e-54

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03917
13917

end0.0ms

sample1.1s

Algorithm
intervals
Results
611.0ms12824×body80valid