Details

Time bar (total: 7.0s)

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
187
297
done97

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))

rewrite12.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
10.0ms
(/ (+ x 1.0) (- 1.0 x))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify2.6s

Counts
50 → 50
Iterations

Useful iterations: 3 (284.0ms)

IterNodesCost
093646
1215616
2562584
31443573
43996573
done5001573

prune79.0ms

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)

rewrite46.0ms

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×expm1-log1p-u pow-unpow log1p-expm1-u 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 → 191
Calls
3 calls:
10.0ms
(/ (+ x 1.0) (- 1.0 x))
12.0ms
(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
12.0ms
(pow (/ (+ x 1.0) (- 1.0 x)) 3)

series119.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (+ x 1.0) (- 1.0 x))
34.0ms
(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
54.0ms
(pow (/ (+ x 1.0) (- 1.0 x)) 3)

simplify609.0ms

Counts
200 → 200
Iterations

Useful iterations: done (603.0ms)

IterNodesCost
02083519
15602922
217682692
done50002686

prune250.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
0.0b
(/ (+ x 1.0) (- 1.0 x))
2.1b
(log1p (/ (+ x 1.0) (- 1.0 x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
24×add-sqr-sqrt
20×times-frac
14×add-cube-cbrt
6×distribute-lft-out
5×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out-- difference-of-squares
4×expm1-log1p-u associate-/l*
3×pow1 log1p-expm1-u add-log-exp
2×associate-/r/ associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ log1p-expm1 div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 69
Calls
3 calls:
0.0ms
(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
10.0ms
(/ (+ x 1.0) (- 1.0 x))
0.0ms
(log1p (/ (+ x 1.0) (- 1.0 x)))

series285.0ms

Counts
3 → 9
Calls
3 calls:
147.0ms
(expm1 (log1p (/ (+ x 1.0) (- 1.0 x))))
31.0ms
(/ (+ x 1.0) (- 1.0 x))
106.0ms
(log1p (/ (+ x 1.0) (- 1.0 x)))

simplify1.4s

Counts
78 → 78
Iterations

Useful iterations: 3 (688.0ms)

IterNodesCost
01601068
1379998
21058907
33529871
done5001871

prune162.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- x 1.0))
15.7b
(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
13×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 times-frac associate-*r/ associate-*l/ associate-/l* difference-of-squares
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u associate-/l/ distribute-lft-out-- add-log-exp
1×frac-2neg div-sub pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 90
Calls
2 calls:
21.0ms
(* (- 1.0 x) (- x 1.0))
13.0ms
(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (- 1.0 x) (- x 1.0))
65.0ms
(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

simplify886.0ms

Counts
96 → 96
Iterations

Useful iterations: done (883.0ms)

IterNodesCost
01921827
14901619
221261248
done50001206

prune154.0ms

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
0810
1910
done910

end0.0ms

sample216.0ms

Algorithm
intervals
Results
130.0ms8000×body80valid