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

localize7.0ms

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 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:
7.0ms
(/ (+ x 1.0) (- 1.0 x))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify83.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0214315
1711297
22979293
35001292

prune79.0ms

Filtered
50 candidates to 34 candidates (68.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

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)

rewrite37.0ms

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:
8.0ms
(/ (+ 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)

series120.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ (+ x 1.0) (- 1.0 x))
31.0ms
(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
57.0ms
(pow (/ (+ x 1.0) (- 1.0 x)) 3)

simplify69.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05711488
125001380
250011362

prune244.0ms

Filtered
200 candidates to 91 candidates (45.5%)
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))

rewrite16.0ms

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 expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 67
Calls
4 calls:
5.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (- 1.0 x))
3.0ms
(cbrt (- 1.0 x))
3.0ms
(cbrt (- 1.0 x))

series346.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(cbrt (+ x 1.0))
89.0ms
(cbrt (- 1.0 x))
87.0ms
(cbrt (- 1.0 x))
86.0ms
(cbrt (- 1.0 x))

simplify72.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0295528
1784502
22482483
35001477

prune250.0ms

Filtered
79 candidates to 72 candidates (91.1%)
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 expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ log1p-expm1-u 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 → 94
Calls
2 calls:
5.0ms
(/ 1 (- 1.0 x))
13.0ms
(* (+ x 1.0) (/ 1 (- 1.0 x)))

series58.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ 1 (- 1.0 x))
31.0ms
(* (+ x 1.0) (/ 1 (- 1.0 x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0370538
11782467
25001421

prune131.0ms

Filtered
100 candidates to 60 candidates (60.0%)
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

sample209.0ms

Algorithm
intervals
Results
129.0ms8000×body80valid