Details

Time bar (total: 9.8s)

sample261.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
22.0ms284×body80nan

simplify23.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0911
11611
21911
32111
done2111

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
44×add-sqr-sqrt
41×times-frac
26×sqrt-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×add-exp-log associate-/r* associate-/r/ add-cbrt-cube
3×pow1
2×expm1-log1p-u rem-sqrt-square flip3-+ flip-+ log1p-expm1-u div-inv associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp clear-num flip--
Counts
2 → 88
Calls
2 calls:
19.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
28.0ms
(/ (- 1.0 x) (+ 1.0 x))

series149.0ms

Counts
2 → 6
Calls
2 calls:
97.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
52.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify1.9s

Counts
94 → 94
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01591358
13551275
29001204
323111191
done50011171

prune354.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* 1.0 x))
0.0b
(sqrt (* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
0.0b
(/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))
0.0b
(* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

rewrite464.0ms

Algorithm
rewrite-expression-head
Rules
184×*-un-lft-identity
91×times-frac
79×add-sqr-sqrt
55×distribute-lft-out
51×associate-*l*
44×unpow-prod-down cube-prod
36×add-cube-cbrt
19×distribute-lft-out-- difference-of-squares
11×add-exp-log sum-cubes add-cbrt-cube
9×pow1 associate-/r*
6×flip3-+ flip-+ add-log-exp
5×sqrt-div associate-/l*
4×expm1-log1p-u frac-times associate-*r/ associate-/r/ log1p-expm1-u
3×associate-*r*
2×cbrt-undiv flip3-- sqrt-pow1 div-exp pow-prod-down associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ unswap-sqr
1×distribute-rgt-in sub-neg distribute-rgt-out-- frac-2neg distribute-lft-in pow1/2 fma-neg diff-log div-sub prod-diff clear-num sqrt-prod *-commutative
Counts
4 → 191
Calls
4 calls:
9.0ms
(- (* x x) (* 1.0 x))
88.0ms
(sqrt (* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
103.0ms
(/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))
253.0ms
(* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series516.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(- (* x x) (* 1.0 x))
206.0ms
(sqrt (* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
85.0ms
(/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))
127.0ms
(* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify3.0s

Counts
203 → 203
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02694569
18613930
232053684
done50003681

prune881.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11111
done1111

end0.0ms

sample2.0s

Algorithm
intervals
Results
870.0ms8241×body80nan
750.0ms8000×body80valid