Details

Time bar (total: 1.9s)

sample32.0ms

Algorithm
intervals
Results
12.0ms314×body80valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1173
2313
3463
4533
5623
6803
71183
82353
94673
107503
1111363
1218183
1350023

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r*
4×pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
3×associate-*l*
2×associate-*r/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 41
Calls
2 calls:
6.0ms
(* y (- z x))
5.0ms
(+ x (* y (- z x)))

series26.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(* y (- z x))
14.0ms
(+ x (* y (- z x)))

simplify84.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0172180
1731165
23521165
35003165

prune45.0ms

Filtered
29 candidates to 47 candidates (-62.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh000
Picked011
Done000
Total45348

Merged error: 0.0b

Counts
48 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
3.3b
(cbrt (* y (- z x)))
3.3b
(cbrt (* y (- z x)))
3.3b
(cbrt (* y (- z x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
4.0ms
(cbrt (* y (- z x)))
4.0ms
(cbrt (* y (- z x)))
4.0ms
(cbrt (* y (- z x)))

series150.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
33.0ms
(cbrt (* y (- z x)))
35.0ms
(cbrt (* y (- z x)))
35.0ms
(cbrt (* y (- z x)))

simplify118.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0256618
1852566
24136527
35001510

prune99.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh011
Picked011
Done011
Total83487

Merged error: 0.0b

Counts
87 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.6b
(cbrt (- z x))
0.6b
(cbrt (- z x))
3.3b
(cbrt (* y (- z x)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip--
2×associate-*r/ distribute-lft-out-- difference-of-squares
Counts
4 → 52
Calls
4 calls:
3.0ms
(cbrt y)
3.0ms
(cbrt (- z x))
3.0ms
(cbrt (- z x))
4.0ms
(cbrt (* y (- z x)))

series111.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
26.0ms
(cbrt (- z x))
28.0ms
(cbrt (- z x))
34.0ms
(cbrt (* y (- z x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0254361
1593340
21737304
35001283

prune78.0ms

Filtered
52 candidates to 64 candidates (-23.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh011
Picked011
Done022
Total64468

Merged error: 0.0b

Counts
68 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
1.8b
(- (* z z) (* x x))
8.8b
(* y (- (* z z) (* x x)))
23.0b
(/ (* y (- (* z z) (* x x))) (+ z x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt add-log-exp
6×pow1
4×times-frac associate-*r/ associate-*r* associate-/r*
3×sub-neg flip3-- associate-*l* flip-- distribute-lft-out
2×cbrt-undiv distribute-rgt-in distribute-lft-in flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/ difference-of-squares
1×+-commutative frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 77
Calls
4 calls:
6.0ms
(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
3.0ms
(- (* z z) (* x x))
6.0ms
(* y (- (* z z) (* x x)))
9.0ms
(/ (* y (- (* z z) (* x x))) (+ z x))

series60.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
6.0ms
(- (* z z) (* x x))
16.0ms
(* y (- (* z z) (* x x)))
22.0ms
(/ (* y (- (* z z) (* x x))) (+ z x))

simplify52.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0367620
11808538
25001507

prune69.0ms

Filtered
59 candidates to 89 candidates (-50.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New89089
Fresh000
Picked011
Done033
Total89493

Merged error: 0.0b

Counts
93 → 4

regimes197.0ms

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
083
183

end0.0ms

sample507.0ms

Algorithm
intervals
Results
237.0ms10103×body80valid

Profiling

Loading profile data...