Details

Time bar (total: 9.9s)

sample10.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

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))

rewrite23.0ms

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:
22.0ms
(+ x (/ 1.0 3.0))

series19.0ms

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

simplify3.9s

Counts
20 → 20
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
030135
183129
2220119
3509119
41421119
53944119
done5000119

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1.0 3.0))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
16.0b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
80×add-sqr-sqrt
62×*-un-lft-identity
57×times-frac
50×add-cube-cbrt
40×prod-diff
20×difference-of-squares
7×add-log-exp
6×associate-/r* distribute-lft-out--
5×add-exp-log add-cbrt-cube
4×flip3-- fma-neg flip-- div-inv associate-/l*
3×pow1 expm1-log1p-u log1p-expm1-u
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num
Counts
3 → 129
Calls
3 calls:
14.0ms
(- x (/ 1.0 3.0))
12.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
73.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

series239.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(- x (/ 1.0 3.0))
65.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
148.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify1.7s

Counts
138 → 138
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02513504
16083181
219052404
done50012063

prune341.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (* (- (/ x (/ 1.0 3.0)) 1) 3.0))
0.2b
(* (- (/ x (/ 1.0 3.0)) 1) 3.0)
0.3b
(/ x (/ 1.0 3.0))
16.1b
(/ (* x x) (- x (/ 1.0 3.0)))

rewrite343.0ms

Algorithm
rewrite-expression-head
Rules
95×times-frac
85×add-sqr-sqrt
61×*-un-lft-identity
52×add-cube-cbrt
21×add-exp-log add-cbrt-cube
20×associate-/r*
13×associate-*l*
10×difference-of-squares
7×cbrt-undiv div-exp div-inv associate-/l*
6×pow1
5×associate-/r/
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×flip3-- frac-2neg difference-of-sqr-1 associate-*r* prod-exp clear-num flip-- cbrt-unprod distribute-lft-out--
1×pow-prod-down *-commutative unswap-sqr
Counts
4 → 160
Calls
4 calls:
70.0ms
(/ 1.0 (* (- (/ x (/ 1.0 3.0)) 1) 3.0))
209.0ms
(* (- (/ x (/ 1.0 3.0)) 1) 3.0)
14.0ms
(/ x (/ 1.0 3.0))
37.0ms
(/ (* x x) (- x (/ 1.0 3.0)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ 1.0 (* (- (/ x (/ 1.0 3.0)) 1) 3.0))
99.0ms
(* (- (/ x (/ 1.0 3.0)) 1) 3.0)
27.0ms
(/ x (/ 1.0 3.0))
72.0ms
(/ (* x x) (- x (/ 1.0 3.0)))

simplify1.9s

Counts
172 → 172
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03082199
16912064
221861837
done50001834

prune598.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

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

sample324.0ms

Algorithm
intervals
Results
156.0ms8000×body80valid