Details

Time bar (total: 4.6s)

sample39.0ms

Algorithm
intervals
Results
12.0ms290×body80valid
10.0ms281×body80nan

simplify58.0ms

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))
0.1b
(* y (+ (- 1.0 z) (log z)))

rewrite36.0ms

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:
10.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
13.0ms
(+ (- 1.0 z) (log z))
10.0ms
(* y (+ (- 1.0 z) (log z)))

series301.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
161.0ms
(+ (- 1.0 z) (log z))
79.0ms
(* y (+ (- 1.0 z) (log z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0359419
11515371
25002370

prune133.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New64670
Fresh000
Picked101
Done000
Total65671

Merged error: 0.0b

Counts
71 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.1b
(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
12×add-sqr-sqrt
10×pow1 add-cube-cbrt add-log-exp
9×cbrt-prod
8×distribute-lft-out
7×associate-*r*
6×add-exp-log associate-+r+ log-prod add-cbrt-cube
4×sum-log log-pow distribute-lft-out--
3×associate-+l+ associate-*l*
2×flip3-+ pow1/3 diff-log associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+l- sub-neg distribute-lft-in pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
Counts
4 → 75
Calls
4 calls:
12.0ms
(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
11.0ms
(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series862.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
329.0ms
(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
183.0ms
(cbrt z)
178.0ms
(cbrt z)

simplify42.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0317676
11327592
25001543

prune222.0ms

Filtered
87 candidates to 65 candidates (74.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New86187
Fresh055
Picked011
Done000
Total86793

Merged error: 0.0b

Counts
93 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 0.5) (* y (- 1.0 z)))
0.1b
(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
0.2b
(* y (log z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod
11×add-sqr-sqrt
10×associate-+r+ add-log-exp
9×add-cube-cbrt *-un-lft-identity
8×distribute-rgt-in distribute-lft-in
6×pow1
5×add-exp-log add-cbrt-cube
4×associate-*r* sum-log
3×associate-*l*
2×+-commutative sub-neg flip3-+ flip-+
1×associate-+l+ pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
Counts
3 → 59
Calls
3 calls:
4.0ms
(+ (* x 0.5) (* y (- 1.0 z)))
7.0ms
(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
4.0ms
(* y (log z))

series135.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* x 0.5) (* y (- 1.0 z)))
63.0ms
(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
37.0ms
(* y (log z))

simplify52.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0334441
11288397
25001379

prune130.0ms

Filtered
68 candidates to 44 candidates (64.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New67168
Fresh235
Picked101
Done011
Total70575

Merged error: 0b

Counts
75 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 73
Calls
4 calls:
6.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
2.0ms
(cbrt z)

series750.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (cbrt z) (cbrt z))
181.0ms
(cbrt z)
187.0ms
(cbrt z)
176.0ms
(cbrt z)

simplify91.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune225.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done011
Total85590

Merged error: 0b

Counts
90 → 5

regimes197.0ms

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
02213
12213

end0.0ms

sample1.2s

Algorithm
intervals
Results
416.0ms9144×body80valid
332.0ms9080×body80nan

Profiling

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