Details

Time bar (total: 37.5s)

sample40.0ms

Algorithm
intervals
Results
12.0ms258×body80valid
9.0ms257×body80nan

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done4
14
03

prune161.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize60.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×add-cube-cbrt *-un-lft-identity
4×pow1 associate-*r*
3×add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
1×expm1-log1p-u pow-prod-down prod-exp log-pow *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
24.0ms
(* x (log x))

series851.0ms

Counts
1 → 3
Calls
1 calls:
851.0ms
(* x (log x))

simplify7.4s

Counts
30 → 30
Iterations
IterNodes
done5001
41771
3802
2239
1102
055

prune237.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (cbrt x)) (+ x x))
0.3b
(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt
12×cbrt-prod associate-+r+ log-prod associate-*r*
8×distribute-rgt-in distribute-lft-in
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u
3×distribute-rgt-out pow1/3 distribute-lft-out
2×associate-+l+ flip3-+ associate-*r/ log-pow flip-+
1×+-commutative fma-def distribute-lft1-in count-2 pow-prod-down distribute-rgt1-in prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 89
Calls
4 calls:
55.0ms
(* (log (cbrt x)) (+ x x))
36.0ms
(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series3.5s

Counts
4 → 12
Calls
4 calls:
899.0ms
(* (log (cbrt x)) (+ x x))
733.0ms
(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
795.0ms
(cbrt x)
1.0s
(cbrt x)

simplify6.3s

Counts
101 → 101
Iterations
IterNodes
done5001
21346
1378
0139

prune764.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt x)))
0.3b
(+ (* (log (pow (/ 1 x) -1/3)) (+ x x)) (* x (log (cbrt x))))
0.5b
(cbrt x)
5.0b
(pow (/ 1 x) -1/3)

rewrite341.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
24×log-prod
23×add-cube-cbrt *-un-lft-identity
15×cbrt-prod
13×distribute-rgt-in unpow-prod-down distribute-lft-in
12×associate-+r+
11×add-exp-log
9×pow1 times-frac
6×add-cbrt-cube add-log-exp
5×associate-*r*
4×expm1-log1p-u pow-exp log1p-expm1-u
3×pow-unpow pow-pow associate-*l*
2×associate-+l+ pow1/3 div-exp log-pow
1×+-commutative pow-to-exp rec-exp pow-flip fma-def flip3-+ 1-exp pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ div-inv inv-pow unswap-sqr sqr-pow
Counts
4 → 109
Calls
4 calls:
196.0ms
(* x (log (cbrt x)))
97.0ms
(+ (* (log (pow (/ 1 x) -1/3)) (+ x x)) (* x (log (cbrt x))))
2.0ms
(cbrt x)
39.0ms
(pow (/ 1 x) -1/3)

series4.6s

Counts
4 → 12
Calls
4 calls:
756.0ms
(* x (log (cbrt x)))
3.1s
(+ (* (log (pow (/ 1 x) -1/3)) (+ x x)) (* x (log (cbrt x))))
369.0ms
(cbrt x)
373.0ms
(pow (/ 1 x) -1/3)

simplify4.3s

Counts
121 → 121
Iterations
IterNodes
done5002
21778
1559
0205

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize124.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (cbrt x))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×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 → 53
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
28.0ms
(cbrt (* (cbrt x) (cbrt x)))
17.0ms
(cbrt (cbrt x))

series1.9s

Counts
4 → 12
Calls
4 calls:
358.0ms
(cbrt x)
385.0ms
(cbrt x)
584.0ms
(cbrt (* (cbrt x) (cbrt x)))
547.0ms
(cbrt (cbrt x))

simplify2.5s

Counts
65 → 65
Iterations
IterNodes
done5000
41804
3682
2274
1119
064

prune928.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes209.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done4
14
03

end0.0ms

sample1.8s

Algorithm
intervals
Results
418.0ms8027×body80valid
388.0ms7920×body80nan