Details

Time bar (total: 5.0s)

sample39.0ms

Algorithm
intervals
Results
22.0ms368×body80valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0276
1916
22896
37706
415146
518606
618856
718856

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.3b
(- (* x y) (* (* z 9.0) t))
8.0b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u times-frac associate-*r* pow-prod-down log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff clear-num associate-/r* *-commutative div-inv
Counts
3 → 62
Calls
3 calls:
6.0ms
(* (* z 9.0) t)
3.0ms
(- (* x y) (* (* z 9.0) t))
9.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series152.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* (* z 9.0) t)
59.0ms
(- (* x y) (* (* z 9.0) t))
74.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0346438
11623375
25001375

prune214.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
6.3b
(/ (* t z) a)
6.6b
(/ (* x y) a)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 93
Calls
4 calls:
7.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
8.0ms
(* 4.5 (/ (* t z) a))
3.0ms
(/ (* t z) a)
3.0ms
(/ (* x y) a)

series194.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
30.0ms
(* 4.5 (/ (* t z) a))
24.0ms
(/ (* t z) a)
22.0ms
(/ (* x y) a)

simplify59.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0405538
12002467
25001467

prune282.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
2.9b
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
6.3b
(/ (* t z) a)

rewrite35.0ms

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×associate-/r* div-inv
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
27.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
3.0ms
(/ (* t z) a)

series446.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt a)
183.0ms
(cbrt a)
57.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
22.0ms
(/ (* t z) a)

simplify73.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0527796
12748641
25001604

prune434.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
2.9b
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
5.4b
(* t (/ z a))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
38×times-frac
35×associate-*r*
30×add-exp-log
29×add-cube-cbrt *-un-lft-identity
23×add-cbrt-cube
17×cbrt-prod
10×associate-*l* prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 associate-*r/ pow-prod-down *-commutative
1×frac-times associate-*l/
Counts
4 → 121
Calls
4 calls:
0.0ms
(cbrt a)
1.0ms
(cbrt a)
24.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
11.0ms
(* t (/ z a))

series458.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt a)
188.0ms
(cbrt a)
59.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
22.0ms
(* t (/ z a))

simplify83.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0580844
12965688
25001651

prune445.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes791.0ms

Accuracy

86.3% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 7.3b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05632
15632

end0.0ms

sample1.0s

Algorithm
intervals
Results
697.0ms11173×body80valid