Details

Time bar (total: 2.3s)

analyze182.0ms

Algorithm
search

sample22.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
1.0ms14×body80invalid

simplify58.0ms

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 2 expressions with local error:

0.0b
(+ (- 1.0 z) (log z))
0.2b
(* y (+ (- 1.0 z) (log z)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
8×pow1 distribute-lft-out
7×add-sqr-sqrt associate-*r*
5×add-cube-cbrt add-log-exp
4×add-exp-log log-pow add-cbrt-cube distribute-lft-out--
3×associate-+r+ log-prod associate-*l*
2×associate-+l+ flip3-+ associate-*r/ sum-log flip-+
1×+-commutative distribute-rgt-in associate-+l- sub-neg distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 48
Calls
2 calls:
7.0ms
(+ (- 1.0 z) (log z))
9.0ms
(* y (+ (- 1.0 z) (log z)))

series32.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ (- 1.0 z) (log z))
16.0ms
(* y (+ (- 1.0 z) (log z)))

simplify98.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0267282
11022244
24823234
35001234

prune72.0ms

Filtered
31 candidates to 54 candidates (-74.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New48654
Fresh000
Picked101
Done000
Total49655

Merged error: 0.0b

Counts
55 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- 1.0 z) (log (sqrt z)))
0.0b
(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
0.2b
(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
40×distribute-lft-out
25×pow1
20×log-pow
13×associate-*r*
12×associate-+r+ log-prod
11×add-sqr-sqrt
10×distribute-lft-out-- add-log-exp
9×add-cube-cbrt
7×sum-log
6×sqrt-prod
5×add-exp-log add-cbrt-cube
3×associate-+l- associate-+l+ flip3-+ associate-*l* flip-+
2×+-commutative diff-log associate-*r/
1×distribute-rgt-in sub-neg distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 88
Calls
3 calls:
8.0ms
(+ (- 1.0 z) (log (sqrt z)))
12.0ms
(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
17.0ms
(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

series23.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (- 1.0 z) (log (sqrt z)))
5.0ms
(+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z)))
13.0ms
(* y (+ (+ (- 1.0 z) (log (sqrt z))) (log (sqrt z))))

simplify52.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0467727
11906632
25001615

prune101.0ms

Filtered
58 candidates to 97 candidates (-67.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh055
Picked011
Done000
Total976103

Merged error: 0.0b

Counts
103 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (- (+ (* 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)

rewrite30.0ms

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:
11.0ms
(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
14.0ms
(* y (+ (- (+ (* 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:
48.0ms
(+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z)))
38.0ms
(* y (+ (- (+ (* 2 (log (cbrt z))) 1.0) z) (log (cbrt z))))
22.0ms
(cbrt z)
22.0ms
(cbrt z)

simplify40.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0343708
11277629
25002580

prune107.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New85287
Fresh314
Picked101
Done011
Total89493

Merged error: 0b

Counts
93 → 4

localize17.0ms

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:
9.0ms
(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
5.0ms
(* y (log (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series103.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* y (- (+ (* 2 (log (cbrt z))) 1.0) z))
23.0ms
(* y (log (cbrt z)))
22.0ms
(cbrt z)
23.0ms
(cbrt z)

simplify42.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0322577
11237513
25001479

prune96.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh022
Picked011
Done011
Total94498

Merged error: 0b

Counts
98 → 4

regimes196.0ms

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
01810
11810

end0.0ms

analyze178.0ms

Algorithm
search

sample568.0ms

Algorithm
intervals
Results
378.0ms8000×body80valid
14.0ms302×body80invalid
5.0ms66×body80nan

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