Details

Time bar (total: 10.2s)

sample169.0ms

Algorithm
intervals
Results
87.0ms1805×body80nan
14.0ms258×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0279
1599
21539
33609
48139
516399
631439
750019

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.2b
(* (- a 0.5) (log t))
0.6b
(+ (log (+ x y)) (log z))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
19×log-prod *-un-lft-identity
15×add-sqr-sqrt
11×add-cube-cbrt
10×pow1 add-log-exp
9×associate-+r+
7×associate-+l+
6×distribute-rgt-in distribute-lft-in associate-*l/
5×add-exp-log flip3-- associate-*l* sum-log log-pow add-cbrt-cube flip-- distribute-lft-out
4×associate-*r* frac-add
3×associate-+l- flip3-+ flip-+
2×+-commutative log-div diff-log
1×sub-neg pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 80
Calls
3 calls:
103.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
11.0ms
(* (- a 0.5) (log t))
6.0ms
(+ (log (+ x y)) (log z))

series319.0ms

Counts
3 → 9
Calls
3 calls:
195.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
54.0ms
(* (- a 0.5) (log t))
70.0ms
(+ (log (+ x y)) (log z))

simplify62.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0585828
12140771
25001755

prune323.0ms

Filtered
89 candidates to 64 candidates (71.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×pow1
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt
7×log-pow distribute-lft-out
5×log-prod
4×add-exp-log associate-+l+ add-cbrt-cube add-log-exp
3×pow1/3
2×associate-+l- log-div flip3-+ pow-prod-down flip-+
1×+-commutative associate-+r+ sum-log
Counts
4 → 57
Calls
4 calls:
18.0ms
(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series694.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(+ (log (+ x y)) (log (* (cbrt z) (cbrt z))))
184.0ms
(cbrt z)
177.0ms
(cbrt z)
179.0ms
(cbrt z)

simplify63.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0200367
1587304
22130290
35002289

prune341.0ms

Filtered
69 candidates to 56 candidates (81.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
6.0b
(pow z 2/3)
6.0b
(pow z 2/3)
6.0b
(pow z 2/3)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down pow-unpow
7×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×cbrt-prod pow-to-exp pow-pow pow-exp sqr-pow
1×pow1/3
Counts
4 → 62
Calls
4 calls:
0.0ms
(cbrt z)
1.0ms
(pow z 2/3)
1.0ms
(pow z 2/3)
1.0ms
(pow z 2/3)

series686.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt z)
168.0ms
(pow z 2/3)
169.0ms
(pow z 2/3)
169.0ms
(pow z 2/3)

simplify51.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0107187
1315162
21159160
35001142

prune363.0ms

Filtered
74 candidates to 51 candidates (68.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
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 → 95
Calls
4 calls:
22.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))

series543.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
131.0ms
(cbrt (+ x y))
123.0ms
(cbrt (+ x y))
125.0ms
(cbrt (+ x y))

simplify140.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (132.0ms)

IterNodesCost
0246671
1881634
24190584
35001580

prune439.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes618.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02925
12925

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.6s56141×body80nan
460.0ms8025×body80valid