Details

Time bar (total: 4.3s)

sample52.0ms

Algorithm
intervals
Results
13.0ms293×body80valid
10.0ms283×body80nan

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1516
21046
31916
42626
53536
64666
77126
811106
912566
1012576
1112576

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b
(+ (- 1.0 z) (log z))
0.2b
(* y (+ (- 1.0 z) (log z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
9×pow1
8×add-sqr-sqrt distribute-lft-out add-log-exp
7×associate-*r*
6×add-cube-cbrt
5×add-exp-log associate-+r+ add-cbrt-cube
4×log-pow distribute-lft-out--
3×log-prod flip3-+ associate-*l* sum-log flip-+
2×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in associate-*r/
1×associate-+l- sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 61
Calls
3 calls:
5.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
6.0ms
(+ (- 1.0 z) (log z))
10.0ms
(* y (+ (- 1.0 z) (log z)))

series42.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
14.0ms
(+ (- 1.0 z) (log z))
13.0ms
(* y (+ (- 1.0 z) (log z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0387432
11513383
25001370

prune195.0ms

Filtered
70 candidates to 44 candidates (37.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New66470
Fresh000
Picked011
Done000
Total66571

Merged error: 0.0b

Counts
71 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
0.1b
(+ (* y (- 1.0 z)) (* y (log z)))
0.3b
(* y (log z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod
11×add-sqr-sqrt
10×add-log-exp
9×add-cube-cbrt *-un-lft-identity
8×distribute-rgt-in distribute-lft-in
7×associate-+r+
6×pow1
5×add-exp-log add-cbrt-cube
4×associate-+l+ associate-*r* sum-log
3×associate-*l*
2×+-commutative sub-neg flip3-+ flip-+
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 60
Calls
3 calls:
8.0ms
(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
7.0ms
(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms
(* y (log z))

series35.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
14.0ms
(+ (* y (- 1.0 z)) (* y (log z)))
7.0ms
(* y (log z))

simplify50.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0392459
11597407
25001379

prune215.0ms

Filtered
69 candidates to 45 candidates (34.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New68169
Fresh123
Picked011
Done011
Total69574

Merged error: 0b

Counts
74 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (log z)) (cbrt (log z)))
0.5b
(cbrt (log z))
0.5b
(cbrt (log z))
0.5b
(cbrt (log z))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
23×add-sqr-sqrt
20×pow1
17×*-un-lft-identity
15×add-cube-cbrt
9×pow1/3 swap-sqr log-pow
7×associate-*r* associate-*l*
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (log z)) (cbrt (log z)))
1.0ms
(cbrt (log z))
1.0ms
(cbrt (log z))
1.0ms
(cbrt (log z))

series142.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (cbrt (log z)) (cbrt (log z)))
34.0ms
(cbrt (log z))
36.0ms
(cbrt (log z))
33.0ms
(cbrt (log z))

simplify64.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0127502
1388461
21756389
35001367

prune349.0ms

Filtered
93 candidates to 52 candidates (44.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh022
Picked011
Done022
Total93598

Merged error: 0b

Counts
98 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 z) (log z))
0.6b
(* (log z) (log z))
4.0b
(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
7.6b
(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
25×pow1 add-sqr-sqrt
18×distribute-lft-out--
15×add-cube-cbrt
13×add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
12×log-pow
10×associate--l+
9×log-prod
8×sub-neg times-frac associate-*r* associate-/r*
7×associate-*l* add-log-exp
6×swap-sqr
4×flip3-- associate-*r/ flip-- difference-of-squares
3×diff-log prod-exp cbrt-unprod associate--r+
2×cbrt-undiv div-exp pow-prod-down associate-/r/ *-commutative associate-/l/ unswap-sqr
1×associate--l- pow2 frac-2neg pow-plus clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 128
Calls
4 calls:
7.0ms
(- (- 1.0 z) (log z))
5.0ms
(* (log z) (log z))
13.0ms
(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
21.0ms
(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

series102.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(- (- 1.0 z) (log z))
14.0ms
(* (log z) (log z))
22.0ms
(* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z))))
52.0ms
(/ (* y (- (* (- 1.0 z) (- 1.0 z)) (* (log z) (log z)))) (- (- 1.0 z) (log z)))

simplify123.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
08231433
142781251
250031244

prune964.0ms

Filtered
140 candidates to 82 candidates (41.4%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1400140
Fresh011
Picked011
Done033
Total1405145

Merged error: 0b

Counts
145 → 5

regimes413.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample1.3s

Algorithm
intervals
Results
416.0ms9104×body80valid
319.0ms8925×body80nan

Profiling

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