Details

Time bar (total: 13.1s)

sample29.0ms

Algorithm
intervals
Results
9.0ms257×body80valid
6.0ms260×body80nan

simplify1.0ms

Counts
1 → 1
Iterations
IterNodes
done4
14
03

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×*-un-lft-identity add-cube-cbrt
4×pow1 associate-*r*
3×distribute-rgt-in distribute-lft-in add-cbrt-cube associate-*l* add-exp-log
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:
8.0ms
(* x (log x))

series311.0ms

Counts
1 → 3
Calls
1 calls:
311.0ms
(* x (log x))

simplify1.2s

Counts
30 → 30
Iterations
IterNodes
done5001
31676
2293
1109
055

prune144.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite38.0ms

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-cbrt-cube add-exp-log 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 sum-log fma-def distribute-lft1-in count-2 pow-prod-down distribute-rgt1-in prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 89
Calls
4 calls:
18.0ms
(* (log (cbrt x)) (+ x x))
15.0ms
(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.6s

Counts
4 → 12
Calls
4 calls:
566.0ms
(* (log (cbrt x)) (+ x x))
534.0ms
(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
240.0ms
(cbrt x)
296.0ms
(cbrt x)

simplify1.8s

Counts
101 → 101
Iterations
IterNodes
done5002
21678
1368
0139

prune455.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt
12×cbrt-prod associate-+l+ log-prod associate-*r*
8×distribute-rgt-in distribute-lft-in
7×pow1
6×add-cbrt-cube add-exp-log add-log-exp
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u
3×distribute-rgt-out pow1/3 distribute-lft-out
2×associate-+r+ flip3-+ associate-*r/ log-pow flip-+
1×+-commutative sum-log fma-def distribute-lft1-in count-2 pow-prod-down distribute-rgt1-in prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 89
Calls
4 calls:
21.0ms
(* (log (cbrt x)) (+ x x))
10.0ms
(+ (* x (log (cbrt x))) (* (log (cbrt x)) (+ x x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.8s

Counts
4 → 12
Calls
4 calls:
528.0ms
(* (log (cbrt x)) (+ x x))
597.0ms
(+ (* x (log (cbrt x))) (* (log (cbrt x)) (+ x x)))
371.0ms
(cbrt x)
327.0ms
(cbrt x)

simplify1.4s

Counts
101 → 101
Iterations
IterNodes
done5001
21663
1344
0125

prune475.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (* (cbrt (- x)) (cbrt -1)))
0.4b
(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
0.6b
(cbrt (- x))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1
11×add-exp-log
10×cbrt-prod
8×add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity pow-prod-down add-cube-cbrt
6×associate-*r* log-pow
5×pow1/3
4×prod-exp
3×distribute-lft-neg-in expm1-log1p-u log-prod distribute-rgt-neg-in cbrt-unprod log1p-expm1-u add-log-exp
2×rem-log-exp
1×distribute-rgt-in neg-mul-1 distribute-lft-in associate-*l* *-commutative
Counts
3 → 60
Calls
3 calls:
20.0ms
(log (* (cbrt (- x)) (cbrt -1)))
49.0ms
(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
3.0ms
(cbrt (- x))

series1.5s

Counts
3 → 9
Calls
3 calls:
484.0ms
(log (* (cbrt (- x)) (cbrt -1)))
686.0ms
(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
283.0ms
(cbrt (- x))

simplify777.0ms

Counts
69 → 69
Iterations
IterNodes
done5001
21095
1222
0101

prune275.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes141.0ms

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

sample879.0ms

Algorithm
intervals
Results
282.0ms8033×body80valid
206.0ms8046×body80nan