Details

Time bar (total: 7.4s)

sample100.0ms

Algorithm
intervals
Results
37.0ms780×body80nan
13.0ms257×body80valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0206
1486
21186
32476
45256
57326
69376
711086
811286
911286

prune5.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- (- (* x (log y)) y) z) (log t))
0.3b
(* x (log y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
15×log-prod
14×associate--l+
11×add-sqr-sqrt
10×associate-+l+
9×add-cube-cbrt
8×add-log-exp
7×pow1
6×distribute-rgt-in distribute-lft-in
4×add-exp-log associate-*r* add-cbrt-cube distribute-lft-out
3×associate-+r+ diff-log associate-*l* sum-log log-pow
2×sub-neg distribute-lft-out--
1×+-commutative associate-+l- flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 56
Calls
2 calls:
11.0ms
(+ (- (- (* x (log y)) y) z) (log t))
4.0ms
(* x (log y))

series83.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ (- (- (* x (log y)) y) z) (log t))
42.0ms
(* x (log y))

simplify63.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0285369
1904331
22900312
35002312

prune264.0ms

Filtered
62 candidates to 40 candidates (64.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New57562
Fresh000
Picked101
Done000
Total58563

Merged error: 0.0b

Counts
63 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
0.0b
(log (sqrt t))
0.0b
(log (sqrt t))
0.3b
(* x (log y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
24×log-prod
20×pow1
18×distribute-lft-out
16×add-sqr-sqrt log-pow
14×add-cube-cbrt
11×add-log-exp
9×sqrt-prod
8×add-exp-log
7×sum-log
6×associate-+r+ add-cbrt-cube
4×associate-*r* distribute-lft-out--
3×distribute-rgt-in distribute-lft-in diff-log associate-*l*
2×associate-+l- sqrt-pow1 pow1/2 rem-log-exp
1×+-commutative associate-+l+ flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 91
Calls
4 calls:
14.0ms
(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
2.0ms
(log (sqrt t))
2.0ms
(log (sqrt t))
4.0ms
(* x (log y))

series287.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
98.0ms
(log (sqrt t))
95.0ms
(log (sqrt t))
42.0ms
(* x (log y))

simplify42.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0349690
11189612
25001556

prune583.0ms

Filtered
103 candidates to 64 candidates (62.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1030103
Fresh044
Picked011
Done000
Total1035108

Merged error: 0.0b

Counts
108 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
9.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series542.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* x (log (cbrt y)))
99.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
179.0ms
(cbrt y)
172.0ms
(cbrt y)

simplify53.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0345729
11431634
25001547

prune591.0ms

Filtered
114 candidates to 92 candidates (80.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh033
Picked101
Done011
Total1145119

Merged error: 0b

Counts
119 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (pow y 1/3)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
0.5b
(cbrt y)
5.0b
(pow y 1/3)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
52×log-prod
38×distribute-rgt-in distribute-lft-in
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
24×associate-+l+
15×cbrt-prod unpow-prod-down
14×associate-+r+
7×pow1 add-exp-log
6×add-cbrt-cube add-log-exp
5×sqr-pow
4×associate-*r*
3×pow-unpow associate-*l*
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 112
Calls
4 calls:
5.0ms
(* x (log (pow y 1/3)))
10.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series569.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* x (log (pow y 1/3)))
131.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
177.0ms
(cbrt y)
179.0ms
(pow y 1/3)

simplify69.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0445770
11784666
25001518

prune601.0ms

Filtered
124 candidates to 93 candidates (75.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1231124
Fresh123
Picked101
Done011
Total1254129

Merged error: 0b

Counts
129 → 4

regimes554.0ms

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
01510
11510

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s23779×body80nan
433.0ms8022×body80valid
1.0ms3×body640valid

Profiling

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