Details

Time bar (total: 1.9s)

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

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))

rewrite9.0ms

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:
8.0ms
(/ (+ 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

prune78.0ms

Filtered
48 candidates to 32 candidates (66.7%)
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))
0.0b
(pow (/ (+ x 1.0) (- 1.0 x)) 3)

rewrite39.0ms

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:
7.0ms
(/ (+ x 1.0) (- 1.0 x))
11.0ms
(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
10.0ms
(pow (/ (+ x 1.0) (- 1.0 x)) 3)

series128.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (+ x 1.0) (- 1.0 x))
39.0ms
(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
56.0ms
(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

prune241.0ms

Filtered
194 candidates to 85 candidates (43.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (- 1.0 x))
0.3b
(cbrt (- 1.0 x))
0.3b
(cbrt (- 1.0 x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
16×*-un-lft-identity
14×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 59
Calls
4 calls:
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (- 1.0 x))
3.0ms
(cbrt (- 1.0 x))
3.0ms
(cbrt (- 1.0 x))

series371.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(cbrt (+ x 1.0))
92.0ms
(cbrt (- 1.0 x))
98.0ms
(cbrt (- 1.0 x))
91.0ms
(cbrt (- 1.0 x))

simplify68.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0277508
1706483
22180463
35002454

prune240.0ms

Filtered
71 candidates to 64 candidates (90.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- 1.0 x))
0.1b
(* (+ x 1.0) (/ 1 (- 1.0 x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 90
Calls
2 calls:
5.0ms
(/ 1 (- 1.0 x))
12.0ms
(* (+ x 1.0) (/ 1 (- 1.0 x)))

series60.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ 1 (- 1.0 x))
36.0ms
(* (+ x 1.0) (/ 1 (- 1.0 x)))

simplify45.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0355526
11738458
25001412

prune126.0ms

Filtered
96 candidates to 56 candidates (58.3%)
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

sample216.0ms

Algorithm
intervals
Results
130.0ms8000×body80valid