Details

Time bar (total: 8.0s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify14.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x 1.0) (- 1.0 x))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
34.0ms
(/ (+ x 1.0) (- 1.0 x))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify883.0ms

Counts
48 → 48

prune116.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b
(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b
(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b
(* (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))))

rewrite275.0ms

Algorithm
rewrite-expression-head
Rules
117×*-un-lft-identity
106×cbrt-prod
81×add-sqr-sqrt times-frac
45×add-cube-cbrt
29×associate-*r*
23×pow1
20×distribute-lft-out
16×distribute-lft-out-- difference-of-squares
15×cbrt-div
12×pow1/3
9×add-exp-log pow-prod-up
8×associate-/r/
6×pow-plus
5×frac-times pow-prod-down associate-*l/ add-cbrt-cube
4×flip3-- flip-- div-inv add-log-exp
3×associate-*r/ prod-exp pow-sqr cbrt-unprod unswap-sqr
2×pow2
1×associate-*l* pow3 *-commutative
Counts
4 → 171
Calls
4 calls:
16.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
16.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
14.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
211.0ms
(* (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))))

series695.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
206.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
241.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
50.0ms
(* (* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (/ (+ x 1.0) (- 1.0 x))))

simplify622.0ms

Counts
183 → 183

prune475.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- 1.0 x))
0.1b
(* (+ x 1.0) (/ 1 (- 1.0 x)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 90
Calls
2 calls:
14.0ms
(/ 1 (- 1.0 x))
52.0ms
(* (+ x 1.0) (/ 1 (- 1.0 x)))

series60.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ 1 (- 1.0 x))
36.0ms
(* (+ x 1.0) (/ 1 (- 1.0 x)))

simplify745.0ms

Counts
96 → 96

prune194.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (+ x 1.0) (* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))
0.4b
(/ 1 (- (* 1.0 1.0) (* x x)))
18.7b
(* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x))

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
29×add-sqr-sqrt
27×*-un-lft-identity
26×times-frac
22×add-cube-cbrt associate-*l*
19×add-cbrt-cube
18×frac-times
14×flip3-+ flip-+
13×associate-*r/ prod-exp
11×pow1
7×cbrt-unprod difference-of-squares
6×div-exp associate-*l/
5×distribute-rgt-in distribute-lft-in associate-*r*
4×pow-prod-down associate-/r* associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×flip3-- *-commutative flip-- div-inv distribute-lft-out
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 128
Calls
3 calls:
140.0ms
(* (+ x 1.0) (* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))
26.0ms
(/ 1 (- (* 1.0 1.0) (* x x)))
79.0ms
(* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x))

series171.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(* (+ x 1.0) (* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))
51.0ms
(/ 1 (- (* 1.0 1.0) (* x x)))
50.0ms
(* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x))

simplify2.4s

Counts
137 → 137

prune367.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify19.0ms

end0.0ms

sample480.0ms

Algorithm
intervals
Results
299.0ms8000×body80valid