Details

Time bar (total: 3.9s)

sample37.0ms

Algorithm
intervals
Results
10.0ms287×body80valid
9.0ms330×body80nan

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
associate-*r*
pow1 add-sqr-sqrt
add-exp-log add-cube-cbrt add-cbrt-cube distribute-lft-out add-log-exp
associate-*l*
distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ log-pow flip-+ distribute-lft-out--
+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
6.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
10.0ms
(* y (+ (- 1.0 z) (log z)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
81.0ms
(* y (+ (- 1.0 z) (log z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0295304
11224268
25001268

prune111.0ms

Filtered
45 candidates to 29 candidates (64.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New39645
Fresh000
Picked101
Done000
Total40646

Merged error: 0.0b

Counts
46 → 6

localize11.0ms

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))

rewrite30.0ms

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:
9.0ms
(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
7.0ms
(* y (- 1.0 z))
7.0ms
(+ (* y (- 1.0 z)) (* y (log z)))
5.0ms
(* y (log z))

series242.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
33.0ms
(* y (- 1.0 z))
100.0ms
(+ (* y (- 1.0 z)) (* y (log z)))
44.0ms
(* y (log z))

simplify64.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0436538
11993482
25001472

prune203.0ms

Filtered
98 candidates to 63 candidates (64.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New96298
Fresh235
Picked011
Done000
Total986104

Merged error: 0.0b

Counts
104 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
0.2b
(* y (log (cbrt z)))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
12×cbrt-prod log-prod
pow1
add-exp-log associate-*r* associate-*l* add-cbrt-cube
distribute-rgt-in distribute-lft-in
add-log-exp
pow1/3
pow-prod-down associate-*l/ prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 76
Calls
4 calls:
7.0ms
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
5.0ms
(* y (log (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series607.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
96.0ms
(* y (log (cbrt z)))
183.0ms
(cbrt z)
186.0ms
(cbrt z)

simplify46.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0261501
11110442
25001424

prune286.0ms

Filtered
88 candidates to 71 candidates (80.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New87188
Fresh134
Picked101
Done011
Total89594

Merged error: 0.0b

Counts
94 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
0.4b
(* (* y 1/3) (log z))
0.4b
(* y 1/3)
0.6b
(cbrt z)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×pow1 *-un-lft-identity
13×add-exp-log add-cbrt-cube
12×add-cube-cbrt
10×associate-*r*
associate-*l*
log-prod
pow-prod-down prod-exp cbrt-unprod
add-log-exp
cbrt-prod distribute-rgt-in distribute-lft-in *-commutative
associate-*l/ unswap-sqr
flip3-- pow1/3 log-pow flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 76
Calls
4 calls:
7.0ms
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
6.0ms
(* (* y 1/3) (log z))
4.0ms
(* y 1/3)
2.0ms
(cbrt z)

series391.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(* (- 1.0 (- z (* 2 (log (cbrt z))))) y)
49.0ms
(* (* y 1/3) (log z))
13.0ms
(* y 1/3)
181.0ms
(cbrt z)

simplify51.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0348454
11685387
25001373

prune259.0ms

Filtered
88 candidates to 63 candidates (71.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New88088
Fresh033
Picked011
Done011
Total88593

Merged error: 0.0b

Counts
93 → 5

regimes238.0ms

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

sample989.0ms

Algorithm
intervals
Results
330.0ms9194×body80valid
267.0ms9342×body80nan

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