Details

Time bar (total: 2.5s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:
11.0ms
(/ (+ x 1.0) (- 1.0 x))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify84.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0205309
1681292
22801286
35002286

prune82.0ms

Filtered
48 candidates to 32 candidates (66.7%)
Pruning

4 alts after pruning (3 fresh and 1 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)

rewrite50.0ms

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:
11.0ms
(/ (+ x 1.0) (- 1.0 x))
13.0ms
(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
13.0ms
(pow (/ (+ x 1.0) (- 1.0 x)) 3)

series124.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (+ x 1.0) (- 1.0 x))
38.0ms
(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
54.0ms
(pow (/ (+ x 1.0) (- 1.0 x)) 3)

simplify72.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05521470
124471369
250011351

prune249.0ms

Filtered
194 candidates to 85 candidates (43.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
276×*-un-lft-identity
170×times-frac
153×add-sqr-sqrt
74×add-cube-cbrt
62×cbrt-prod
55×associate-*l*
48×swap-sqr distribute-lft-out
40×distribute-lft-out--
30×associate-*r*
28×difference-of-squares
18×add-exp-log
16×add-cbrt-cube
14×cbrt-div
13×pow1
12×associate-/r/
10×unswap-sqr
7×frac-times associate-*r/
6×flip3-- flip-- div-inv
5×associate-*l/ prod-exp cbrt-unprod
4×cbrt-undiv pow1/3 div-exp add-log-exp
3×pow-prod-down
2×*-commutative
1×pow2 pow-plus cube-unmult pow-sqr pow-prod-up
Counts
4 → 234
Calls
4 calls:
30.0ms
(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))))
54.0ms
(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))
12.0ms
(cbrt (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))))
5.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))

series390.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))))
56.0ms
(* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x)))
162.0ms
(cbrt (* (/ (+ x 1.0) (- 1.0 x)) (/ (+ x 1.0) (- 1.0 x))))
139.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))

simplify111.0ms

Algorithm
egg-herbie
Counts
246 → 246
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
08142821
135602634
250022546

prune474.0ms

Filtered
246 candidates to 146 candidates (59.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 1.0 1.0) (* x x))
0.1b
(* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))
17.1b
(/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
33×times-frac
28×add-sqr-sqrt
23×add-cube-cbrt
22×associate-*l*
10×add-exp-log add-cbrt-cube distribute-lft-out difference-of-squares
5×pow1 add-log-exp
4×associate-*r* associate-/r* associate-/r/ associate-/l*
3×flip3-- flip3-+ flip-- flip-+
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 101
Calls
3 calls:
3.0ms
(- (* 1.0 1.0) (* x x))
31.0ms
(* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))
11.0ms
(/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))

series126.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(- (* 1.0 1.0) (* x x))
42.0ms
(* (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))
40.0ms
(/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0513927
12237816
25001712

prune195.0ms

Filtered
110 candidates to 83 candidates (75.5%)
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

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095
195

end0.0ms

sample212.0ms

Algorithm
intervals
Results
128.0ms8000×body80valid