Details

Time bar (total: 18.3s)

sample107.0ms

Algorithm
intervals
Results
45.0ms856×body80nan
13.0ms256×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 4 (74.0ms)

IterNodesCost
01011
12111
25211
313211
453310
5230010
done500110

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
25×add-sqr-sqrt
23×associate--l+
22×associate-+l+
21×add-cube-cbrt log-prod
15×prod-diff
11×add-log-exp
9×distribute-rgt-in distribute-lft-in
8×pow1
5×add-exp-log fma-def add-cbrt-cube
4×diff-log associate-*r* distribute-lft-out
3×expm1-log1p-u sub-neg associate-+r+ associate-*l* sum-log log-pow log1p-expm1-u distribute-lft-out--
1×+-commutative associate-+l- flip3-- flip3-+ fma-neg pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ difference-of-squares unswap-sqr
Counts
3 → 101
Calls
3 calls:
10.0ms
(- (* x (log y)) y)
219.0ms
(+ (- (- (* x (log y)) y) z) (log t))
12.0ms
(* x (log y))

series169.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(- (* x (log y)) y)
48.0ms
(+ (- (- (* x (log y)) y) z) (log t))
46.0ms
(* x (log y))

simplify1.1s

Counts
110 → 110
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01881155
14881048
21834911
done5000894

prune422.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite80.0ms

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*
4×expm1-log1p-u log1p-expm1-u
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative fma-def flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 111
Calls
4 calls:
17.0ms
(* x (log (cbrt y)))
52.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
2.0ms
(cbrt y)

series624.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* x (log (cbrt y)))
107.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
209.0ms
(cbrt y)
208.0ms
(cbrt y)

simplify1.4s

Counts
123 → 123
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01631298
14641159
22024920
done5001862

prune628.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (pow y 1/3)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
0.6b
(cbrt y)
5.0b
(pow y 1/3)

rewrite93.0ms

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×expm1-log1p-u associate-*r* log1p-expm1-u
3×pow-unpow associate-*l*
1×+-commutative pow-to-exp pow-pow fma-def 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 → 121
Calls
4 calls:
21.0ms
(* x (log (pow y 1/3)))
57.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
2.0ms
(cbrt y)
5.0ms
(pow y 1/3)

series743.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* x (log (pow y 1/3)))
144.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
221.0ms
(cbrt y)
291.0ms
(pow y 1/3)

simplify1.3s

Counts
133 → 133
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02091534
15831223
221671029
done5001998

prune717.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.7b
(cbrt (* (cbrt y) (cbrt y)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
5.0ms
(cbrt (* (cbrt y) (cbrt y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
306.0ms
(cbrt y)
242.0ms
(cbrt y)
281.0ms
(cbrt y)
463.0ms
(cbrt (* (cbrt y) (cbrt y)))

simplify1.4s

Counts
62 → 62
Iterations

Useful iterations: 3 (150.0ms)

IterNodesCost
046323
189310
2238260
3790248
42733248
done5001248

prune527.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes478.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01821
12321
done2321

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.4s24531×body80nan
767.0ms8030×body80valid
0.0ms1×body160valid