Details

Time bar (total: 15.7s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
2105
done105

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×prod-diff
38×*-un-lft-identity
36×add-cube-cbrt
28×times-frac
3×fma-neg div-inv add-log-exp
2×difference-of-squares
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out--
Counts
1 → 59
Calls
1 calls:
17.0ms
(- x (/ 1.0 3.0))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(- x (/ 1.0 3.0))

simplify3.1s

Counts
62 → 62
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01541713
13591497
2912998
33140729
done5000402

prune88.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (- x (/ 1.0 3.0)))
0.0b
(- x (/ 1.0 3.0))
2.0b
(expm1 (log1p (- x (/ 1.0 3.0))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
40×*-un-lft-identity
39×prod-diff
38×add-cube-cbrt
28×times-frac
5×add-log-exp
4×expm1-log1p-u
3×pow1 add-exp-log fma-neg add-cbrt-cube log1p-expm1-u div-inv
2×difference-of-squares
1×sub-neg log1p-udef expm1-log1p flip3-- diff-log log1p-expm1 flip-- distribute-lft-out-- expm1-udef
Counts
3 → 81
Calls
3 calls:
1.0ms
(log1p (- x (/ 1.0 3.0)))
28.0ms
(- x (/ 1.0 3.0))
1.0ms
(expm1 (log1p (- x (/ 1.0 3.0))))

series408.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(log1p (- x (/ 1.0 3.0)))
37.0ms
(- x (/ 1.0 3.0))
303.0ms
(expm1 (log1p (- x (/ 1.0 3.0))))

simplify3.6s

Counts
90 → 90
Iterations

Useful iterations: done (3.5s)

IterNodesCost
02302053
15331799
213561256
34239961
done5000960

prune147.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (sqrt 3.0) (sqrt 3.0))
1.0b
(/ 1.0 (sqrt 3.0))
1.0b
(/ 1 (sqrt 3.0))
2.0b
(expm1 (log1p (+ (- (pow (cbrt x) 3) (/ 1.0 (* (sqrt 3.0) (sqrt 3.0)))) (* (+ (/ -1 (sqrt 3.0)) (/ 1 (sqrt 3.0))) (/ 1.0 (sqrt 3.0))))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
42×add-cube-cbrt *-un-lft-identity sqrt-prod
36×times-frac
21×pow1
12×add-exp-log associate-/r*
10×add-cbrt-cube
9×sqrt-pow1 pow1/2
8×swap-sqr
6×associate-*r* associate-*l* associate-/l*
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-flip div-exp pow-prod-down pow-sqr
2×cbrt-undiv frac-2neg clear-num div-inv
1×pow2 rec-exp expm1-log1p pow-plus sqrt-unprod 1-exp prod-exp rem-square-sqrt *-commutative cbrt-unprod inv-pow expm1-udef
Counts
4 → 150
Calls
4 calls:
13.0ms
(* (sqrt 3.0) (sqrt 3.0))
6.0ms
(/ 1.0 (sqrt 3.0))
7.0ms
(/ 1 (sqrt 3.0))
0.0ms
(expm1 (log1p (+ (- (pow (cbrt x) 3) (/ 1.0 (* (sqrt 3.0) (sqrt 3.0)))) (* (+ (/ -1 (sqrt 3.0)) (/ 1 (sqrt 3.0))) (/ 1.0 (sqrt 3.0))))))

series1.8s

Counts
4 → 6
Calls
4 calls:
0.0ms
(* (sqrt 3.0) (sqrt 3.0))
0.0ms
(/ 1.0 (sqrt 3.0))
0.0ms
(/ 1 (sqrt 3.0))
1.8s
(expm1 (log1p (+ (- (pow (cbrt x) 3) (/ 1.0 (* (sqrt 3.0) (sqrt 3.0)))) (* (+ (/ -1 (sqrt 3.0)) (/ 1 (sqrt 3.0))) (/ 1.0 (sqrt 3.0))))))

simplify3.0s

Counts
156 → 156
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02081744
13881228
210141116
33981984
done5000982

prune387.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1 (sqrt 3.0))
1.0b
(* (sqrt 3.0) (sqrt 3.0))
1.0b
(/ 1.0 (sqrt 3.0))
1.0b
(/ -1 (sqrt 3.0))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
57×add-cube-cbrt *-un-lft-identity
54×times-frac sqrt-prod
21×pow1
18×associate-/r*
14×add-exp-log
12×add-cbrt-cube
9×sqrt-pow1 pow1/2 associate-/l*
8×swap-sqr
6×associate-*r* associate-*l*
5×pow-prod-up
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-undiv pow-flip frac-2neg pow-prod-down clear-num pow-sqr div-inv
1×pow2 rec-exp pow-plus sqrt-unprod 1-exp prod-exp rem-square-sqrt *-commutative cbrt-unprod inv-pow
Counts
4 → 180
Calls
4 calls:
7.0ms
(/ 1 (sqrt 3.0))
13.0ms
(* (sqrt 3.0) (sqrt 3.0))
6.0ms
(/ 1.0 (sqrt 3.0))
12.0ms
(/ -1 (sqrt 3.0))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/ 1 (sqrt 3.0))
0.0ms
(* (sqrt 3.0) (sqrt 3.0))
0.0ms
(/ 1.0 (sqrt 3.0))
0.0ms
(/ -1 (sqrt 3.0))

simplify1.9s

Counts
184 → 184
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01951517
13171116
27331076
321071066
done50011064

prune526.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
done55

end0.0ms

sample399.0ms

Algorithm
intervals
Results
225.0ms8000×body80valid