Details

Time bar (total: 2.8s)

sample15.0ms

Algorithm
intervals
Results
6.0ms335×body80valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1253
2363
3403
4463
5583
6933
71303
81633
92733
105073
1116183
1250013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (+ z x)))
0.0b
(* y (+ z x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
3.0ms
(+ x (* y (+ z x)))
6.0ms
(* y (+ z x))

series55.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ x (* y (+ z x)))
25.0ms
(* y (+ z x))

simplify95.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0186164
1769149
23889149
35003149

prune71.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* z y))
0.0b
(+ (+ x (* z y)) (* x y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 24
Calls
2 calls:
3.0ms
(+ x (* z y))
5.0ms
(+ (+ x (* z y)) (* x y))

series58.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ x (* z y))
32.0ms
(+ (+ x (* z y)) (* x y))

simplify70.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0160150
1619135
22474133
35002133

prune58.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* y (+ z x)))) (cbrt (+ x (* y (+ z x)))))
0.6b
(cbrt (+ x (* y (+ z x))))
0.6b
(cbrt (+ x (* y (+ z x))))
0.6b
(cbrt (+ x (* y (+ z x))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
8.0ms
(* (cbrt (+ x (* y (+ z x)))) (cbrt (+ x (* y (+ z x)))))
2.0ms
(cbrt (+ x (* y (+ z x))))
2.0ms
(cbrt (+ x (* y (+ z x))))
2.0ms
(cbrt (+ x (* y (+ z x))))

series780.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(* (cbrt (+ x (* y (+ z x)))) (cbrt (+ x (* y (+ z x)))))
181.0ms
(cbrt (+ x (* y (+ z x))))
176.0ms
(cbrt (+ x (* y (+ z x))))
179.0ms
(cbrt (+ x (* y (+ z x))))

simplify43.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03351189
111881119
250021022

prune253.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
4.0b
(- (* z z) (* x x))
8.9b
(* y (- (* z z) (* x x)))
18.9b
(/ (* y (- (* z z) (* x x))) (- z x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×add-cube-cbrt add-log-exp
6×pow1
5×times-frac associate-/r*
4×flip3-- associate-*r/ associate-*r* flip-- difference-of-squares
3×sub-neg associate-*l*
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
1×+-commutative frac-2neg flip3-+ diff-log pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
4 → 79
Calls
4 calls:
10.0ms
(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
4.0ms
(- (* z z) (* x x))
6.0ms
(* y (- (* z z) (* x x)))
9.0ms
(/ (* y (- (* z z) (* x x))) (- z x))

series228.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
34.0ms
(- (* z z) (* x x))
66.0ms
(* y (- (* z z) (* x x)))
77.0ms
(/ (* y (- (* z z) (* x x))) (- z x))

simplify52.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0372639
11847557
25002519

prune165.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes249.0ms

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
0114
1114

end0.0ms

sample385.0ms

Algorithm
intervals
Results
184.0ms10140×body80valid