Details

Time bar (total: 11.3s)

sample167.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
18.0ms250×body80nan

simplify27.0ms

Counts
1 → 1
Iterations
IterNodes
done21
321
219
116
09

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
45×add-sqr-sqrt
41×times-frac
26×sqrt-prod
24×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
5×add-cbrt-cube add-exp-log associate-/l*
4×pow1 associate-/r* associate-/r/
3×add-log-exp
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 sqrt-div div-sub div-exp flip--
Counts
3 → 91
Calls
3 calls:
27.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
37.0ms
(/ (- 1.0 x) (+ 1.0 x))
2.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

series193.0ms

Counts
3 → 9
Calls
3 calls:
115.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
61.0ms
(/ (- 1.0 x) (+ 1.0 x))
17.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

simplify1.8s

Counts
100 → 100
Iterations
IterNodes
done5000
21394
1354
0162

prune502.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
56.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
12.0ms
(cbrt (- 1.0 x))
6.0ms
(cbrt (- 1.0 x))
4.0ms
(cbrt (- 1.0 x))

series578.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
131.0ms
(cbrt (- 1.0 x))
135.0ms
(cbrt (- 1.0 x))
133.0ms
(cbrt (- 1.0 x))

simplify1.6s

Counts
113 → 113
Iterations
IterNodes
done5000
21220
1342
0148

prune641.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize88.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-div
16×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
9×flip3-- flip--
7×add-cube-cbrt
4×frac-times pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
3×distribute-lft-out-- difference-of-squares
2×associate-*l/ associate-*r/
Counts
4 → 62
Calls
4 calls:
6.0ms
(cbrt (- 1.0 x))
6.0ms
(cbrt (- 1.0 x))
6.0ms
(cbrt (- 1.0 x))
21.0ms
(cbrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))

series517.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(cbrt (- 1.0 x))
129.0ms
(cbrt (- 1.0 x))
116.0ms
(cbrt (- 1.0 x))
149.0ms
(cbrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))))

simplify2.2s

Counts
74 → 74
Iterations
IterNodes
done5003
33222
2855
1314
0150

prune504.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes162.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done18
118
015

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.2s8000×body80valid
427.0ms8142×body80nan