Details

Time bar (total: 2.9s)

sample51.0ms

Algorithm
intervals
Results
13.0ms295×body80valid
11.0ms324×body80nan

simplify57.0ms

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

prune3.0ms

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))))
7.0ms
(+ (- 1.0 z) (log z))
9.0ms
(* y (+ (- 1.0 z) (log z)))

series43.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
15.0ms
(+ (- 1.0 z) (log z))
13.0ms
(* y (+ (- 1.0 z) (log z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0387432
11513383
25001370

prune106.0ms

Filtered
44 candidates to 70 candidates (-59.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New62870
Fresh000
Picked101
Done000
Total63871

Merged error: 0b

Counts
71 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt log-prod
11×add-log-exp
9×pow1
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×distribute-rgt-in associate-+r+ distribute-lft-in
4×sum-log
2×+-commutative flip3-+ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
1×associate-+l+ flip3-- log-pow flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 77
Calls
4 calls:
6.0ms
(* (- 1.0 z) y)
4.0ms
(+ (* x 0.5) (* (- 1.0 z) y))
6.0ms
(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* y (log z)))
4.0ms
(* y (log z))

series36.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (- 1.0 z) y)
8.0ms
(+ (* x 0.5) (* (- 1.0 z) y))
16.0ms
(+ (+ (* x 0.5) (* (- 1.0 z) y)) (* y (log z)))
7.0ms
(* y (log z))

simplify53.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0412519
11904466
25002449

prune114.0ms

Filtered
63 candidates to 89 candidates (-41.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New88189
Fresh257
Picked101
Done000
Total91697

Merged error: 0b

Counts
97 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* y (log (cbrt z)))
0.3b
(* y (* 2 (log (cbrt z))))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
24×cbrt-prod
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
12×pow1
11×add-exp-log add-cbrt-cube
6×associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×log-pow *-commutative
1×unswap-sqr
Counts
4 → 96
Calls
4 calls:
5.0ms
(* y (log (cbrt z)))
6.0ms
(* y (* 2 (log (cbrt z))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series90.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* y (log (cbrt z)))
25.0ms
(* y (* 2 (log (cbrt z))))
22.0ms
(cbrt z)
22.0ms
(cbrt z)

simplify100.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0317680
11171607
24322566
35001542

prune115.0ms

Filtered
62 candidates to 108 candidates (-74.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1071108
Fresh145
Picked011
Done000
Total1086114

Merged error: 0b

Counts
114 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* y (* 2 (log (pow z 1/3))))
0.3b
(* y (log (cbrt z)))
0.6b
(cbrt z)
4.8b
(pow z 1/3)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
40×log-prod
34×distribute-rgt-in distribute-lft-in
24×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
15×unpow-prod-down
13×pow1
12×add-exp-log
11×add-cbrt-cube
9×cbrt-prod
6×associate-*r* associate-*l*
5×sqr-pow
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow-unpow
2×pow1/3 log-pow *-commutative
1×pow-to-exp pow-pow unpow1/3 pow-exp unswap-sqr
Counts
4 → 107
Calls
4 calls:
7.0ms
(* y (* 2 (log (pow z 1/3))))
5.0ms
(* y (log (cbrt z)))
1.0ms
(cbrt z)
2.0ms
(pow z 1/3)

series83.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* y (* 2 (log (pow z 1/3))))
20.0ms
(* y (log (cbrt z)))
22.0ms
(cbrt z)
23.0ms
(pow z 1/3)

simplify57.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0428705
11722551
25001487

prune129.0ms

Filtered
62 candidates to 119 candidates (-91.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh044
Picked011
Done011
Total1196125

Merged error: 0b

Counts
125 → 6

regimes301.0ms

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
02813
12813

end0.0ms

sample1.3s

Algorithm
intervals
Results
394.0ms9185×body80valid
324.0ms9266×body80nan

Profiling

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