Details

Time bar (total: 7.3s)

sample43.0ms

Algorithm
intervals
Results
19.0ms422×body80valid

simplify163.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 6 (161.0ms)

IterNodesCost
0389
11039
23279
39219
419969
548419
650018

prune16.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.2b

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)
9.1b
(/ (* t a) c)
11.4b
(/ (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))

series359.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(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)
63.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify45.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0284424
11137356
25001355

prune352.0ms

Filtered
78 candidates to 62 candidates (79.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
0.6b
(cbrt c)
3.9b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
11.4b
(/ (fma x (* 9.0 y) b) (* z c))

rewrite37.0ms

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)
25.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
6.0ms
(/ (fma x (* 9.0 y) b) (* z c))

series513.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(cbrt c)
202.0ms
(cbrt c)
54.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
63.0ms
(/ (fma x (* 9.0 y) b) (* z c))

simplify77.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0552862
12701698
25001661

prune615.0ms

Filtered
122 candidates to 97 candidates (79.5%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
3.2b
(/ (fma x (* 9.0 y) b) c)
3.9b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
5.1b
(* (/ 1 z) (/ (fma x (* 9.0 y) b) c))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
62×times-frac
49×add-exp-log
44×*-un-lft-identity
42×add-cube-cbrt
35×associate-*r*
32×add-cbrt-cube
20×associate-*l*
16×div-exp prod-exp
14×cbrt-prod
12×cbrt-undiv cbrt-unprod unswap-sqr
8×pow1
5×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
2×frac-times rec-exp 1-exp associate-*r/ pow-prod-down associate-*l/ *-commutative
1×frac-2neg pow1/3 clear-num
Counts
4 → 161
Calls
4 calls:
1.0ms
(cbrt c)
2.0ms
(/ (fma x (* 9.0 y) b) c)
27.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
15.0ms
(* (/ 1 z) (/ (fma x (* 9.0 y) b) c))

series419.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(cbrt c)
65.0ms
(/ (fma x (* 9.0 y) b) c)
60.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
86.0ms
(* (/ 1 z) (/ (fma x (* 9.0 y) b) c))

simplify107.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
07931317
138741087
250021040

prune822.0ms

Filtered
173 candidates to 128 candidates (74.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c)
3.2b
(/ (fma x (* 9.0 y) b) c)
3.9b
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
5.0b
(/ (/ (fma x (* 9.0 y) b) c) z)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
112×times-frac
86×add-sqr-sqrt
70×add-cube-cbrt *-un-lft-identity
32×add-exp-log
25×add-cbrt-cube
22×associate-*r*
16×associate-/l*
14×cbrt-prod
11×cbrt-undiv div-exp
8×prod-exp cbrt-unprod div-inv
7×associate-*l*
6×pow1 associate-/r* unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times pow1/3 associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 175
Calls
4 calls:
1.0ms
(cbrt c)
2.0ms
(/ (fma x (* 9.0 y) b) c)
30.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
6.0ms
(/ (/ (fma x (* 9.0 y) b) c) z)

series397.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(cbrt c)
72.0ms
(/ (fma x (* 9.0 y) b) c)
61.0ms
(* (/ t (* (cbrt c) (cbrt c))) (/ a (cbrt c)))
60.0ms
(/ (/ (fma x (* 9.0 y) b) c) z)

simplify101.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
07871537
135011334
250021290

prune1.0s

Filtered
187 candidates to 148 candidates (79.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.4b

regimes852.0ms

Accuracy

44.7% (4.0b remaining)

Error of 7.7b against oracle of 3.7b and baseline of 10.9b

bsearch3.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07279
17479
27479

end0.0ms

sample1.1s

Algorithm
intervals
Results
611.0ms12692×body80valid