Details

Time bar (total: 7.5s)

sample74.0ms

Algorithm
intervals
Results
50.0ms399×body80valid

simplify155.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (153.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.1b

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)
6.8b
(/ (* t a) c)
9.5b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite10.0ms

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

series365.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(fma (- 4.0) (/ (* t a) c) (/ (fma x (* 9.0 y) b) (* z c)))
35.0ms
(fma x (* 9.0 y) b)
21.0ms
(/ (* t a) c)
66.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify42.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0284424
11137356
25001355

prune356.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt c)
0.5b
(cbrt c)
4.5b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
9.5b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite40.0ms

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)
27.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
4.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series755.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(cbrt c)
428.0ms
(cbrt c)
53.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
67.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify80.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0552862
12701698
25001661

prune609.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.1b
(* (/ (* (cbrt t) (cbrt t)) (cbrt c)) (* (/ (cbrt t) (cbrt c)) (/ a (cbrt c))))
9.5b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
78×add-exp-log
40×add-cbrt-cube
33×prod-exp cbrt-unprod
24×cbrt-undiv div-exp
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×associate-*l*
9×pow1 cbrt-prod times-frac
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down associate-*l/ associate-/l*
2×pow1/3 div-inv
1×frac-2neg associate-*r* clear-num associate-/r* *-commutative
Counts
4 → 109
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
47.0ms
(* (/ (* (cbrt t) (cbrt t)) (cbrt c)) (* (/ (cbrt t) (cbrt c)) (/ a (cbrt c))))
4.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series491.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt t)
202.0ms
(cbrt t)
24.0ms
(* (/ (* (cbrt t) (cbrt t)) (cbrt c)) (* (/ (cbrt t) (cbrt c)) (/ a (cbrt c))))
66.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify93.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
05671192
12395887
25001765

prune503.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.0b

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)
5.3b
(* t (/ a c))
9.5b
(/ (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))
4.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series364.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(fma (- 4.0) (* t (/ a c)) (/ (fma x (* 9.0 y) b) (* z c)))
40.0ms
(fma x (* 9.0 y) b)
21.0ms
(* t (/ a c))
65.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify52.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0339472
11368404
25001403

prune347.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.0b

regimes912.0ms

Accuracy

61.9% (3.0b remaining)

Error of 6.5b against oracle of 3.5b and baseline of 11.4b

bsearch3.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06385
16385

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.5s12805×body80valid