Details

Time bar (total: 4.5s)

sample59.0ms

Algorithm
intervals
Results
28.0ms450×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1487
2817
3987
4987

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(+ (+ (* x y) (* z t)) (* a b))
0.0b
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-+l+
Counts
3 → 38
Calls
3 calls:
2.0ms
(+ (* x y) (* z t))
11.0ms
(+ (+ (* x y) (* z t)) (* a b))
46.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series300.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* x y) (* z t))
50.0ms
(+ (+ (* x y) (* z t)) (* a b))
215.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify36.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0276348
11151333
25001333

prune142.0ms

Filtered
47 candidates to 37 candidates (78.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(+ (* a b) (* i c))
0.0b
(+ (+ (* x y) (* z t)) (+ (* a b) (* i c)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
flip3-+ flip-+
*-un-lft-identity
frac-add
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt add-cbrt-cube
associate-+l+ associate-+r+ distribute-lft-out
Counts
3 → 43
Calls
3 calls:
2.0ms
(+ (* x y) (* z t))
2.0ms
(+ (* a b) (* i c))
16.0ms
(+ (+ (* x y) (* z t)) (+ (* a b) (* i c)))

series272.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* x y) (* z t))
32.0ms
(+ (* a b) (* i c))
205.0ms
(+ (+ (* x y) (* z t)) (+ (* a b) (* i c)))

simplify46.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0349491
11641476
25001456

prune193.0ms

Filtered
52 candidates to 41 candidates (78.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (+ (* a b) (* i c))) (cbrt (+ (* a b) (* i c))))
1.9b
(cbrt (+ (* a b) (* i c)))
1.9b
(cbrt (+ (* a b) (* i c)))
1.9b
(cbrt (+ (* a b) (* i c)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-+ pow1/3 flip-+
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
18.0ms
(* (cbrt (+ (* a b) (* i c))) (cbrt (+ (* a b) (* i c))))
2.0ms
(cbrt (+ (* a b) (* i c)))
2.0ms
(cbrt (+ (* a b) (* i c)))
2.0ms
(cbrt (+ (* a b) (* i c)))

series421.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (cbrt (+ (* a b) (* i c))) (cbrt (+ (* a b) (* i c))))
99.0ms
(cbrt (+ (* a b) (* i c)))
98.0ms
(cbrt (+ (* a b) (* i c)))
99.0ms
(cbrt (+ (* a b) (* i c)))

simplify90.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
03121055
11028988
23738912
35002903

prune367.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.9b
(cbrt (+ (* a b) (* i c)))
1.9b
(cbrt (+ (* a b) (* i c)))
1.9b
(cbrt (+ (* a b) (* i c)))
1.9b
(cbrt (+ (* a b) (* i c)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt (+ (* a b) (* i c)))
2.0ms
(cbrt (+ (* a b) (* i c)))
2.0ms
(cbrt (+ (* a b) (* i c)))
2.0ms
(cbrt (+ (* a b) (* i c)))

series408.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(cbrt (+ (* a b) (* i c)))
104.0ms
(cbrt (+ (* a b) (* i c)))
100.0ms
(cbrt (+ (* a b) (* i c)))
100.0ms
(cbrt (+ (* a b) (* i c)))

simplify90.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 4 (84.0ms)

IterNodesCost
0178560
1465524
21256500
32952496
45001488

prune338.0ms

Filtered
64 candidates to 60 candidates (93.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes392.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0227
1227

end0.0ms

sample1.1s

Algorithm
intervals
Results
573.0ms13570×body80valid