Details

Time bar (total: 9.7s)

sample53.0ms

Algorithm
intervals
Results
25.0ms774×body80nan
9.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11213
21613
done1613

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
0.0b
(/ (sqrt (- 1.0 (* x x))) x)

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
33×times-frac
32×add-sqr-sqrt
26×add-cube-cbrt
20×sqrt-prod
8×log-prod distribute-lft-out
7×add-exp-log associate-/l*
6×pow1 add-cbrt-cube add-log-exp
5×div-inv difference-of-squares
4×sqrt-div
3×log-div associate-/r*
2×distribute-rgt-out flip3-- flip3-+ frac-add flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp rem-log-exp clear-num sum-log log-pow
Counts
4 → 98
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* x x)))
31.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
37.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
12.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series552.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(sqrt (- 1.0 (* x x)))
271.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
97.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
125.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify676.0ms

Counts
110 → 110
Iterations

Useful iterations: done (673.0ms)

IterNodesCost
02261924
15101798
214281665
done50001638

prune274.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series731.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (cbrt x) (cbrt x))
177.0ms
(cbrt x)
184.0ms
(cbrt x)
175.0ms
(cbrt x)

simplify3.1s

Counts
85 → 85
Iterations

Useful iterations: done (3.1s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune240.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (pow (/ 1 x) -1/3) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
5.0b
(pow (/ 1 x) -1/3)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
32×unpow-prod-down
26×*-un-lft-identity
24×add-cube-cbrt
22×times-frac
21×add-exp-log
17×associate-*l*
14×cbrt-prod
10×unswap-sqr
8×pow-exp
6×pow1 associate-*r* prod-exp
5×add-cbrt-cube
4×div-exp add-log-exp sqr-pow
3×pow-unpow pow-pow
2×pow-to-exp rec-exp pow1/3 1-exp div-inv
1×pow-flip *-commutative cbrt-unprod inv-pow
Counts
4 → 102
Calls
4 calls:
28.0ms
(* (pow (/ 1 x) -1/3) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(pow (/ 1 x) -1/3)

series736.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(* (pow (/ 1 x) -1/3) (cbrt x))
177.0ms
(cbrt x)
177.0ms
(cbrt x)
173.0ms
(pow (/ 1 x) -1/3)

simplify1.3s

Counts
114 → 114
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01521071
1308939
2703906
32202863
done5001858

prune332.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01422
11822
done1822

end0.0ms

sample1.5s

Algorithm
intervals
Results
694.0ms23658×body80nan
294.0ms8000×body80valid