Details

Time bar (total: 2.5s)

analyze203.0ms

Algorithm
search

sample25.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
0.0ms8×body80invalid
0.0ms2×body80nan

simplify67.0ms

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize10.0ms

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))))
16.0ms
(+ (- 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 (40.0ms)

IterNodesCost
0387432
11513383
25001370

prune94.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New64670
Fresh000
Picked011
Done000
Total64771

Merged error: 0.0b

Counts
71 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
0.2b
(* y (+ (- (+ (* 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:
10.0ms
(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
12.0ms
(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
2.0ms
(cbrt z)
1.0ms
(cbrt z)

series126.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
35.0ms
(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
23.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify41.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0343708
11277629
25002580

prune118.0ms

Filtered
60 candidates to 87 candidates (-45.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New85287
Fresh325
Picked101
Done011
Total89594

Merged error: 0b

Counts
94 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

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*
9×pow1 distribute-rgt-in distribute-lft-in
8×add-exp-log add-cbrt-cube
6×associate-*l*
4×add-log-exp
3×pow1/3
2×sub-neg associate-*r/ pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod unswap-sqr
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 82
Calls
4 calls:
8.0ms
(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
5.0ms
(* y (log (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series99.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
19.0ms
(* y (log (cbrt z)))
24.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify42.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0322577
11237513
25001479

prune107.0ms

Filtered
63 candidates to 94 candidates (-49.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh033
Picked011
Done011
Total94599

Merged error: 0b

Counts
99 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 47
Calls
4 calls:
2.0ms
(cbrt (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series98.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (cbrt z))
25.0ms
(cbrt z)
22.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify80.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
099239
1175221
2404181
31393175
45002175

prune82.0ms

Filtered
46 candidates to 59 candidates (-28.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New59059
Fresh022
Picked011
Done022
Total59564

Merged error: 0b

Counts
64 → 5

regimes392.0ms

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
02312
12312

end0.0ms

analyze177.0ms

Algorithm
search

sample552.0ms

Algorithm
intervals
Results
364.0ms8000×body80valid
16.0ms359×body80invalid
2.0ms64×body80nan

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