Details

Time bar (total: 4.0s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293
done93

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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:
27.0ms
(/ (+ x 1.0) (- 1.0 x))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify81.0ms

Counts
48 → 48
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0205309
1681292
22801286
35002286
done5002286

prune77.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 1.0) (- 1.0 x))
0.0b
(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
0.1b
(pow (/ (+ x 1.0) (- 1.0 x)) 3)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1 associate-/l*
3×pow-unpow add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg flip3-+ pow1/3 clear-num rem-cbrt-cube flip-+
Counts
3 → 185
Calls
3 calls:
23.0ms
(/ (+ x 1.0) (- 1.0 x))
22.0ms
(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
21.0ms
(pow (/ (+ x 1.0) (- 1.0 x)) 3)

series118.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (+ x 1.0) (- 1.0 x))
32.0ms
(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
55.0ms
(pow (/ (+ x 1.0) (- 1.0 x)) 3)

simplify72.0ms

Counts
194 → 194
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05521470
124471369
250011351
done50011351

prune232.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

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))))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
306×*-un-lft-identity
238×cbrt-prod
190×times-frac
174×add-sqr-sqrt
86×add-cube-cbrt
53×distribute-lft-out
51×swap-sqr
44×distribute-lft-out--
32×difference-of-squares
29×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 244
Calls
4 calls:
9.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
9.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
9.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
93.0ms
(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))

series542.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
126.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
132.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
149.0ms
(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))

simplify63.0ms

Counts
256 → 256
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03963081
114063008
250012792
done50012792

prune512.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (cbrt (/ (+ x 1.0) (- 1.0 x))))
0.0b
(cbrt (cbrt (/ (+ x 1.0) (- 1.0 x))))
0.0b
(* (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x)))))
0.1b
(pow (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x)))) 4)

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
513×cbrt-prod
315×*-un-lft-identity
199×add-sqr-sqrt
192×times-frac
95×add-cube-cbrt
54×swap-sqr
53×distribute-lft-out
44×distribute-lft-out--
32×unpow-prod-down associate-*r* associate-*l* difference-of-squares
16×unswap-sqr
14×associate-/r/
12×pow1 cbrt-div
9×pow1/3
7×add-exp-log flip3-- flip-- div-inv
4×add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-to-exp pow-plus associate-*r/ associate-*l/ pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 278
Calls
4 calls:
9.0ms
(cbrt (cbrt (/ (+ x 1.0) (- 1.0 x))))
9.0ms
(cbrt (cbrt (/ (+ x 1.0) (- 1.0 x))))
104.0ms
(* (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x)))))
23.0ms
(pow (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x)))) 4)

series646.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(cbrt (cbrt (/ (+ x 1.0) (- 1.0 x))))
135.0ms
(cbrt (cbrt (/ (+ x 1.0) (- 1.0 x))))
155.0ms
(* (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x)))))
214.0ms
(pow (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x)))) 4)

simplify89.0ms

Counts
290 → 290
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06604077
123883437
250013274
done50013274

prune803.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes23.0ms

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
095
195
done95

end0.0ms

sample243.0ms

Algorithm
intervals
Results
130.0ms8000×body80valid