Details

Time bar (total: 25.0s)

sample14.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 17
Calls
1 calls:
11.0ms
(+ x (/ 1.0 3.0))

series19.0ms

Counts
1 → 3
Calls
1 calls:
19.0ms
(+ x (/ 1.0 3.0))

simplify3.7s

Counts
20 → 20
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
030135
183129
2220119
3509119
41421119
53944119
done5000119

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ 1.0 3.0))
12.2b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
61×*-un-lft-identity
57×times-frac
49×add-cube-cbrt
39×prod-diff
19×difference-of-squares
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube div-inv associate-/l* add-log-exp
3×flip3-- fma-neg flip--
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num
Counts
2 → 112
Calls
2 calls:
13.0ms
(- x (/ 1.0 3.0))
39.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

series175.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(- x (/ 1.0 3.0))
150.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify1.6s

Counts
118 → 118
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02343188
15682886
217302148
done50001885

prune281.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* x x) (- x (/ 1.0 3.0))) (/ (/ 1.0 3.0) (- (/ x (/ 1.0 3.0)) 1)))
0.2b
(/ (/ 1.0 3.0) (- (/ x (/ 1.0 3.0)) 1))
0.3b
(/ x (/ 1.0 3.0))
12.3b
(/ (* x x) (- x (/ 1.0 3.0)))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
6581×times-frac
6250×add-sqr-sqrt
2980×*-un-lft-identity
2100×prod-diff
1772×add-cube-cbrt
1382×difference-of-squares
510×difference-of-sqr-1
381×associate-/r/
365×div-inv
349×distribute-lft-out--
191×flip3-- flip--
32×associate-/r*
19×add-exp-log add-cbrt-cube
17×associate-/l*
12×fma-neg
8×cbrt-undiv div-exp
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
1×sub-neg diff-log prod-exp frac-sub cbrt-unprod associate-/l/
Counts
4 → 2451
Calls
4 calls:
561.0ms
(- (/ (* x x) (- x (/ 1.0 3.0))) (/ (/ 1.0 3.0) (- (/ x (/ 1.0 3.0)) 1)))
102.0ms
(/ (/ 1.0 3.0) (- (/ x (/ 1.0 3.0)) 1))
20.0ms
(/ x (/ 1.0 3.0))
60.0ms
(/ (* x x) (- x (/ 1.0 3.0)))

series621.0ms

Counts
4 → 12
Calls
4 calls:
466.0ms
(- (/ (* x x) (- x (/ 1.0 3.0))) (/ (/ 1.0 3.0) (- (/ x (/ 1.0 3.0)) 1)))
60.0ms
(/ (/ 1.0 3.0) (- (/ x (/ 1.0 3.0)) 1))
30.0ms
(/ x (/ 1.0 3.0))
65.0ms
(/ (* x x) (- x (/ 1.0 3.0)))

simplify2.5s

Counts
2463 → 2463
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02400239952
done5001231427

prune10.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ x (/ 1.0 3.0))
0.3b
(/ x (/ 1.0 3.0))
12.3b
(/ (* x x) (- x (/ 1.0 3.0)))
18.7b
(cbrt (/ (/ (* (* 1.0 1.0) 1.0) (* (* 3.0 3.0) 3.0)) (* (* (- (/ x (/ 1.0 3.0)) 1) (- (/ x (/ 1.0 3.0)) 1)) (- (/ x (/ 1.0 3.0)) 1))))

rewrite468.0ms

Algorithm
rewrite-expression-head
Rules
164×times-frac
102×add-sqr-sqrt
96×*-un-lft-identity
92×add-cube-cbrt
35×cbrt-prod
32×associate-/r*
30×associate-/r/
28×frac-times flip3-- flip--
19×add-exp-log add-cbrt-cube
14×associate-*l/
13×div-inv
8×cbrt-undiv associate-*r/ div-exp
7×associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp difference-of-squares
3×frac-2neg clear-num
2×distribute-lft-out--
1×cbrt-div pow1/3 prod-exp cbrt-unprod
Counts
4 → 221
Calls
4 calls:
11.0ms
(/ x (/ 1.0 3.0))
9.0ms
(/ x (/ 1.0 3.0))
26.0ms
(/ (* x x) (- x (/ 1.0 3.0)))
402.0ms
(cbrt (/ (/ (* (* 1.0 1.0) 1.0) (* (* 3.0 3.0) 3.0)) (* (* (- (/ x (/ 1.0 3.0)) 1) (- (/ x (/ 1.0 3.0)) 1)) (- (/ x (/ 1.0 3.0)) 1))))

series192.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ x (/ 1.0 3.0))
27.0ms
(/ x (/ 1.0 3.0))
51.0ms
(/ (* x x) (- x (/ 1.0 3.0)))
86.0ms
(cbrt (/ (/ (* (* 1.0 1.0) 1.0) (* (* 3.0 3.0) 3.0)) (* (* (- (/ x (/ 1.0 3.0)) 1) (- (/ x (/ 1.0 3.0)) 1)) (- (/ x (/ 1.0 3.0)) 1))))

simplify2.0s

Counts
233 → 233
Iterations

Useful iterations: done (2.0s)

IterNodesCost
04195385
19794582
234073842
done50003771

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample463.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid