Details

Time bar (total: 15.0s)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
17
05

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite25.0ms

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×expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log log1p-expm1-u flip-- distribute-lft-out--
Counts
1 → 59
Calls
1 calls:
20.0ms
(- x (/ 1.0 3.0))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(- x (/ 1.0 3.0))

simplify2.1s

Counts
62 → 62
Iterations
IterNodes
done5001
32636
2973
1379
0154

prune141.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
0.1b
(* x (* x x))
0.2b
(* x (/ 1.0 3.0))
20.5b
(/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

rewrite291.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity times-frac add-cube-cbrt
20×pow1
16×add-cbrt-cube add-exp-log
14×associate-*r*
9×cube-unmult
6×associate-*l* add-log-exp
5×prod-exp associate-*r/ pow-prod-up cbrt-unprod
4×expm1-log1p-u difference-cubes pow-prod-down log1p-expm1-u associate-/l*
3×associate-/r* frac-add unswap-sqr
2×cbrt-undiv flip3-+ div-exp associate-/r/ *-commutative flip-+ div-inv associate-/l/
1×pow2 frac-times +-commutative clear-num sum-log fma-def frac-2neg pow-plus distribute-rgt-out flip3-- div-sub associate-*l/ pow-sqr flip--
Counts
4 → 116
Calls
4 calls:
20.0ms
(+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
19.0ms
(* x (* x x))
11.0ms
(* x (/ 1.0 3.0))
236.0ms
(/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

series390.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
61.0ms
(* x (* x x))
24.0ms
(* x (/ 1.0 3.0))
236.0ms
(/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

simplify2.3s

Counts
128 → 128
Iterations
IterNodes
done5001
22390
1587
0212

prune600.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ 1.0 3.0) (/ 1.0 3.0) (* x (/ 1.0 3.0)))
0.1b
(* x (* x x))
0.2b
(* x (/ 1.0 3.0))
20.5b
(/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (+ (* x x) (fma (/ 1.0 3.0) (/ 1.0 3.0) (* x (/ 1.0 3.0)))))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity times-frac add-cube-cbrt
20×pow1
16×add-cbrt-cube add-exp-log
14×associate-*r*
9×cube-unmult
6×associate-*l*
5×prod-exp pow-prod-up cbrt-unprod
4×expm1-log1p-u difference-cubes pow-prod-down log1p-expm1-u associate-/l* add-log-exp
3×associate-/r* unswap-sqr
2×cbrt-undiv div-exp associate-/r/ *-commutative div-inv associate-/l/
1×pow2 clear-num frac-2neg flip3-+ pow-plus flip3-- div-sub associate-*r/ pow-sqr flip-+ fma-udef flip--
Counts
4 → 108
Calls
4 calls:
0.0ms
(fma (/ 1.0 3.0) (/ 1.0 3.0) (* x (/ 1.0 3.0)))
25.0ms
(* x (* x x))
22.0ms
(* x (/ 1.0 3.0))
189.0ms
(/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (+ (* x x) (fma (/ 1.0 3.0) (/ 1.0 3.0) (* x (/ 1.0 3.0)))))

series358.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(fma (/ 1.0 3.0) (/ 1.0 3.0) (* x (/ 1.0 3.0)))
59.0ms
(* x (* x x))
27.0ms
(* x (/ 1.0 3.0))
214.0ms
(/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (+ (* x x) (fma (/ 1.0 3.0) (/ 1.0 3.0) (* x (/ 1.0 3.0)))))

simplify2.2s

Counts
120 → 120
Iterations
IterNodes
done5001
22041
1509
0192

prune621.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize97.0ms

Local error

Found 4 expressions with local error:

4.3b
(/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))
15.4b
(sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
15.4b
(sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
15.5b
(* (/ 1 (sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))))

rewrite718.0ms

Algorithm
rewrite-expression-head
Rules
101×add-sqr-sqrt
88×times-frac
57×*-un-lft-identity
53×sqrt-prod
51×add-cube-cbrt
30×associate-*r*
28×add-exp-log
26×cube-unmult
24×associate-*l*
18×add-cbrt-cube
15×unswap-sqr
13×difference-cubes
10×sqrt-div
9×div-exp
8×pow1 prod-exp
6×associate-/r* associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×expm1-log1p-u cbrt-unprod log1p-expm1-u associate-/l* add-log-exp
3×div-inv
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp hypot-def associate-/l/
1×frac-times clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative flip--
Counts
4 → 184
Calls
4 calls:
185.0ms
(/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))
69.0ms
(sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
73.0ms
(sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
384.0ms
(* (/ 1 (sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))))

series615.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))
78.0ms
(sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
94.0ms
(sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
283.0ms
(* (/ 1 (sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))) (/ (- (* x (* x x)) (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (sqrt (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))))

simplify2.6s

Counts
196 → 196
Iterations
IterNodes
done5001
22669
1782
0259

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done5
05

end0.0ms

sample370.0ms

Algorithm
intervals
Results
215.0ms8000×body80valid