Details

Time bar (total: 4.8s)

sample52.0ms

Algorithm
intervals
Results
12.0ms293×body80valid
10.0ms299×body80nan

simplify56.0ms

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
pow1
add-sqr-sqrt distribute-lft-out add-log-exp
associate-*r*
add-cube-cbrt
add-exp-log associate-+r+ add-cbrt-cube
log-pow distribute-lft-out--
log-prod flip3-+ associate-*l* sum-log flip-+
+-commutative distribute-rgt-in associate-+l+ distribute-lft-in associate-*r/
associate-+l- sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 61
Calls
3 calls:
7.0ms
(+ (- 1.0 z) (log z))
5.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
9.0ms
(* y (+ (- 1.0 z) (log z)))

series286.0ms

Counts
3 → 9
Calls
3 calls:
156.0ms
(+ (- 1.0 z) (log z))
57.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
72.0ms
(* y (+ (- 1.0 z) (log z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0359419
11515371
25001370

prune242.0ms

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: 0b

Counts
71 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt log-prod
11×add-log-exp
10×distribute-rgt-in distribute-lft-in
pow1 associate-*r*
add-exp-log add-cbrt-cube
associate-+r+
associate-*l*
sub-neg associate-+l+ sum-log
+-commutative flip3-+ associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
flip3-- log-pow flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 86
Calls
4 calls:
7.0ms
(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
6.0ms
(* y (- 1.0 z))
7.0ms
(+ (* y (- 1.0 z)) (* y (log z)))
4.0ms
(* y (log z))

series220.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
31.0ms
(* y (- 1.0 z))
90.0ms
(+ (* y (- 1.0 z)) (* y (log z)))
39.0ms
(* y (log z))

simplify60.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0436538
11993482
25001472

prune324.0ms

Filtered
98 candidates to 63 candidates (64.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New97198
Fresh145
Picked011
Done000
Total986104

Merged error: 0b

Counts
104 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-log-exp
pow1 add-sqr-sqrt associate-*r*
add-exp-log add-cube-cbrt add-cbrt-cube distribute-lft-out
sum-log
associate-+r+ flip3-+ associate-*l* flip-+
+-commutative distribute-rgt-in distribute-rgt-neg-in distribute-lft-in associate-*r/ log-pow
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 53
Calls
3 calls:
6.0ms
(+ (* x 0.5) (+ (* y 1.0) (* y (+ (neg z) (log z)))))
4.0ms
(+ (* y 1.0) (* y (+ (neg z) (log z))))
8.0ms
(* y (+ (neg z) (log z)))

series219.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(+ (* x 0.5) (+ (* y 1.0) (* y (+ (neg z) (log z)))))
90.0ms
(+ (* y 1.0) (* y (+ (neg z) (log z))))
67.0ms
(* y (+ (neg z) (log z)))

simplify51.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0396470
11734415
25003402

prune231.0ms

Filtered
62 candidates to 46 candidates (74.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh044
Picked011
Done011
Total62668

Merged error: 0b

Counts
68 → 6

localize14.0ms

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)))
0.5b
(cbrt z)
0.5b
(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
cbrt-prod
distribute-lft-out
associate-*r*
add-exp-log associate-+r+ log-prod add-cbrt-cube
sum-log log-pow distribute-lft-out--
associate-+l+ associate-*l*
flip3-+ pow1/3 diff-log associate-*r/ flip-+
+-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)

series856.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
332.0ms
(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
173.0ms
(cbrt z)
177.0ms
(cbrt z)

simplify43.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0317676
11327592
25001543

prune348.0ms

Filtered
87 candidates to 65 candidates (74.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New87087
Fresh033
Picked011
Done022
Total87693

Merged error: 0b

Counts
93 → 6

regimes321.0ms

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
0177
1177

end0.0ms

sample1.3s

Algorithm
intervals
Results
394.0ms9153×body80valid
314.0ms9157×body80nan

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