Details

Time bar (total: 1.5s)

sample9.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
172
272
done72

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (- 1.0 x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
15×times-frac
11×add-cube-cbrt
5×associate-/r*
4×distribute-lft-out-- difference-of-squares
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 37
Calls
1 calls:
10.0ms
(/ x (- 1.0 x))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(/ x (- 1.0 x))

simplify96.0ms

Counts
40 → 40
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0168209
1566197
22598195
35001195
done5001195

prune62.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))
16.0b
(/ x (- (* 1.0 1.0) (* x x)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt times-frac
22×*-un-lft-identity
20×add-cube-cbrt
18×associate-*l*
9×add-exp-log add-cbrt-cube
7×difference-of-squares
4×pow1 associate-*r* associate-/r* associate-/r/
3×associate-/l*
2×cbrt-undiv frac-times flip3-- flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out
Counts
2 → 77
Calls
2 calls:
49.0ms
(* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))
12.0ms
(/ x (- (* 1.0 1.0) (* x x)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))
60.0ms
(/ x (- (* 1.0 1.0) (* x x)))

simplify54.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0505665
12312603
25003546
done5003546

prune146.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ x (- (* 1.0 1.0) (* x x))) 1.0) (* x (/ x (- (* 1.0 1.0) (* x x)))))
0.1b
(* x (/ x (- (* 1.0 1.0) (* x x))))
16.0b
(/ x (- (* 1.0 1.0) (* x x)))
16.0b
(/ x (- (* 1.0 1.0) (* x x)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
37×times-frac
36×add-sqr-sqrt
31×add-cube-cbrt *-un-lft-identity
18×associate-*r*
13×add-exp-log add-cbrt-cube
11×difference-of-squares
8×associate-/r*
6×pow1 associate-/r/ associate-/l* add-log-exp
3×cbrt-undiv flip3-- div-exp associate-*l* flip-- div-inv
2×frac-2neg associate-*r/ prod-exp clear-num cbrt-unprod unswap-sqr
1×+-commutative flip3-+ pow-prod-down associate-*l/ frac-add sum-log *-commutative flip-+
Counts
4 → 115
Calls
4 calls:
17.0ms
(+ (* (/ x (- (* 1.0 1.0) (* x x))) 1.0) (* x (/ x (- (* 1.0 1.0) (* x x)))))
36.0ms
(* x (/ x (- (* 1.0 1.0) (* x x))))
12.0ms
(/ x (- (* 1.0 1.0) (* x x)))
12.0ms
(/ x (- (* 1.0 1.0) (* x x)))

series245.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(+ (* (/ x (- (* 1.0 1.0) (* x x))) 1.0) (* x (/ x (- (* 1.0 1.0) (* x x)))))
61.0ms
(* x (/ x (- (* 1.0 1.0) (* x x))))
58.0ms
(/ x (- (* 1.0 1.0) (* x x)))
62.0ms
(/ x (- (* 1.0 1.0) (* x x)))

simplify65.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04351078
12102965
25001945
done5001945

prune251.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

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
042
142
done42

end0.0ms

sample223.0ms

Algorithm
intervals
Results
109.0ms8000×body80valid