Details

Time bar (total: 4.3s)

sample55.0ms

Algorithm
intervals
Results
14.0ms304×body80valid
10.0ms300×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 (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
(+ (- 1.0 z) (log z))
0.0b
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.2b
(* 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)))

series45.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ (- 1.0 z) (log z))
15.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
13.0ms
(* y (+ (- 1.0 z) (log z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0387432
11513383
25001370

prune205.0ms

Filtered
70 candidates to 44 candidates (37.1%)
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:

0.2b
(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
0.2b
(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite29.0ms

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:
13.0ms
(* 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)

series131.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
48.0ms
(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
21.0ms
(cbrt z)
25.0ms
(cbrt z)

simplify38.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0343708
11277629
25002580

prune461.0ms

Filtered
87 candidates to 60 candidates (31.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New85287
Fresh145
Picked011
Done000
Total86793

Merged error: 0.0b

Counts
93 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
0.2b
(* y (log (cbrt z)))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
12×cbrt-prod log-prod
10×associate-*r*
pow1 distribute-rgt-in distribute-lft-in
add-exp-log add-cbrt-cube
associate-*l*
add-log-exp
pow1/3
sub-neg associate-*r/ pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod unswap-sqr
flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 82
Calls
4 calls:
9.0ms
(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
7.0ms
(* y (log (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series101.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
21.0ms
(* y (log (cbrt z)))
21.0ms
(cbrt z)
22.0ms
(cbrt z)

simplify40.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0322577
11237513
25001479

prune529.0ms

Filtered
94 candidates to 63 candidates (33.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New93194
Fresh145
Picked101
Done011
Total956101

Merged error: 0.0b

Counts
101 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
0.2b
(* y (log (pow z 1/3)))
0.6b
(cbrt z)
4.9b
(pow z 1/3)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
17×*-un-lft-identity
15×add-cube-cbrt
14×log-prod
10×distribute-rgt-in distribute-lft-in
pow1 add-exp-log unpow-prod-down associate-*r*
add-cbrt-cube
associate-*l*
add-log-exp
cbrt-prod pow-unpow sqr-pow
sub-neg associate-*r/ pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
pow-to-exp flip3-- pow-pow unpow1/3 pow1/3 pow-exp log-pow flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 90
Calls
4 calls:
9.0ms
(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
5.0ms
(* y (log (pow z 1/3)))
1.0ms
(cbrt z)
2.0ms
(pow z 1/3)

series97.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
16.0ms
(* y (log (pow z 1/3)))
22.0ms
(cbrt z)
24.0ms
(pow z 1/3)

simplify56.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0392587
11739503
25002452

prune527.0ms

Filtered
102 candidates to 63 candidates (38.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh044
Picked011
Done011
Total1026108

Merged error: 0.0b

Counts
108 → 6

regimes384.0ms

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
02612
12612

end0.0ms

sample1.3s

Algorithm
intervals
Results
405.0ms9219×body80valid
319.0ms9099×body80nan

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