Details

Time bar (total: 5.7s)

sample43.0ms

Algorithm
intervals
Results
19.0ms393×body80valid

simplify161.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (159.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.9b

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)
6.1b
(/ (* t a) c)
10.6b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite13.0ms

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

series361.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
36.0ms
(fma x (* 9.0 y) b)
26.0ms
(/ (* t a) c)
61.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify45.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0284424
11137356
25001355

prune361.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.0b

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

rewrite17.0ms

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:
1.0ms
(fma (- 4.0) (* t (/ a c)) (/ (fma x (* 9.0 y) b) (* z c)))
1.0ms
(fma x (* 9.0 y) b)
7.0ms
(* t (/ a c))
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series373.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(fma (- 4.0) (* t (/ a c)) (/ (fma x (* 9.0 y) b) (* z c)))
36.0ms
(fma x (* 9.0 y) b)
21.0ms
(* t (/ a c))
67.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify52.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0339472
11368404
25001403

prune379.0ms

Pruning

13 alts after pruning (13 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)
6.2b
(/ t (/ c a))
10.6b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite18.0ms

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)
7.0ms
(/ t (/ c a))
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series342.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(fma (- 4.0) (/ t (/ c a)) (/ (fma x (* 9.0 y) b) (* z c)))
36.0ms
(fma x (* 9.0 y) b)
29.0ms
(/ t (/ c a))
60.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify63.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0489787
11882713
25001712

prune807.0ms

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))

rewrite16.0ms

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)
7.0ms
(* (/ t c) a)
5.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series344.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(fma (- 4.0) (* (/ t c) a) (/ (fma x (* 9.0 y) b) (* z c)))
39.0ms
(fma x (* 9.0 y) b)
23.0ms
(* (/ t c) a)
66.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify49.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0317463
11134393
25001393

prune336.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.7b

regimes423.0ms

Accuracy

25.8% (5.8b remaining)

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

bsearch187.0ms

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

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03917
13917

end0.0ms

sample1.2s

Algorithm
intervals
Results
651.0ms12824×body80valid