Details

Time bar (total: 5.2s)

sample18.0ms

Algorithm
intervals
Results
7.0ms271×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1405
2805
31745
43695
55035
67695
711915
814515
916065
1016065

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
6.7b
(/ x (* (- y z) (- y t)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
37.0ms
(* (- y z) (- y t))
16.0ms
(/ x (* (- y z) (- y t)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* (- y z) (- y t))
65.0ms
(/ x (* (- y z) (- y t)))

simplify39.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0304403
11399360
25002360

prune163.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
3.4b
(/ (* (- y z) (- y t)) (cbrt x))
3.4b
(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
28×times-frac
18×cbrt-prod add-cbrt-cube
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-/r*
12×cbrt-undiv div-exp
8×associate-/l/
6×flip3-- prod-exp flip-- cbrt-unprod
4×pow1 frac-times div-inv add-log-exp
2×frac-2neg pow1/3 associate-*r/ associate-*l/ clear-num associate-/l*
1×associate-/r/
Counts
4 → 101
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
24.0ms
(/ (* (- y z) (- y t)) (cbrt x))
26.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

series595.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt x)
182.0ms
(cbrt x)
143.0ms
(/ (* (- y z) (- y t)) (cbrt x))
88.0ms
(/ (* (cbrt x) (cbrt x)) (/ (* (- y z) (- y t)) (cbrt x)))

simplify65.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0520905
12710745
25002710

prune329.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

6.7b
(/ x (* (- y z) (- y t)))
23.4b
(cbrt (/ x (* (- y z) (- y t))))
23.4b
(cbrt (/ x (* (- y z) (- y t))))
23.4b
(cbrt (/ x (* (- y z) (- y t))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
32×associate-/r/
24×flip3-- flip--
16×frac-times
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
8×associate-*r/ associate-*l/
4×pow1 div-inv add-log-exp
3×cbrt-div pow1/3 associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 101
Calls
4 calls:
16.0ms
(/ x (* (- y z) (- y t)))
13.0ms
(cbrt (/ x (* (- y z) (- y t))))
13.0ms
(cbrt (/ x (* (- y z) (- y t))))
17.0ms
(cbrt (/ x (* (- y z) (- y t))))

series600.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ x (* (- y z) (- y t)))
185.0ms
(cbrt (/ x (* (- y z) (- y t))))
178.0ms
(cbrt (/ x (* (- y z) (- y t))))
175.0ms
(cbrt (/ x (* (- y z) (- y t))))

simplify45.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0322995
11077935
25002929

prune463.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
1.4b
(/ (/ (* (- y z) (- y t)) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x)))
2.1b
(/ (* (- y z) (- y t)) (* (cbrt (cbrt x)) (cbrt (cbrt x))))
3.4b
(/ (* (cbrt x) (cbrt x)) (/ (/ (* (- y z) (- y t)) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x))))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac
147×cbrt-prod
90×add-exp-log
83×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
59×associate-/r*
47×add-cbrt-cube
43×cbrt-undiv div-exp
33×div-inv
22×prod-exp cbrt-unprod
9×associate-/l/
7×associate-/l*
6×flip3-- flip--
4×pow1 frac-times add-log-exp
3×frac-2neg clear-num
2×associate-*r/ associate-*l/
1×pow1/3 associate-/r/
Counts
4 → 254
Calls
4 calls:
1.0ms
(cbrt x)
34.0ms
(/ (/ (* (- y z) (- y t)) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x)))
29.0ms
(/ (* (- y z) (- y t)) (* (cbrt (cbrt x)) (cbrt (cbrt x))))
44.0ms
(/ (* (cbrt x) (cbrt x)) (/ (/ (* (- y z) (- y t)) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x))))

series729.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
143.0ms
(/ (/ (* (- y z) (- y t)) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x)))
321.0ms
(/ (* (- y z) (- y t)) (* (cbrt (cbrt x)) (cbrt (cbrt x))))
92.0ms
(/ (* (cbrt x) (cbrt x)) (/ (/ (* (- y z) (- y t)) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (cbrt (cbrt x))))

simplify59.0ms

Algorithm
egg-herbie
Counts
266 → 266
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011994958
150014186

prune932.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01410
11410

end0.0ms

sample481.0ms

Algorithm
intervals
Results
214.0ms8470×body80valid