Details

Time bar (total: 2.3s)

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

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

series31.0ms

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

simplify81.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0205309
1681292
22801286
35002286

prune66.0ms

Filtered
48 candidates to 32 candidates (66.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New45348
Fresh000
Picked011
Done000
Total45449

Merged error: 0b

Counts
49 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
7.0ms
(/ (- 1.0 x) (+ x 1.0))
13.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

series67.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (- 1.0 x) (+ x 1.0))
31.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05421504
125511350
250011213

prune143.0ms

Filtered
180 candidates to 80 candidates (44.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1791180
Fresh112
Picked011
Done011
Total1804184

Merged error: 0b

Counts
184 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
954×times-frac
631×*-un-lft-identity
491×add-sqr-sqrt
369×add-cube-cbrt
87×associate-/r/
70×distribute-lft-out
61×distribute-lft-out-- difference-of-squares
51×add-exp-log
44×div-inv
36×div-exp
27×associate-/r* associate-/l*
23×flip3-+ flip-+
20×flip3-- flip--
19×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
5×pow1
3×frac-2neg clear-num add-log-exp
2×pow-flip inv-pow
1×associate-/l/
Counts
3 → 527
Calls
3 calls:
5.0ms
(/ 1 (+ x 1.0))
5.0ms
(/ 1 (- 1.0 x))
20.0ms
(/ (/ 1 (- 1.0 x)) (/ 1 (+ x 1.0)))

series84.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(/ 1 (+ x 1.0))
23.0ms
(/ 1 (- 1.0 x))
39.0ms
(/ (/ 1 (- 1.0 x)) (/ 1 (+ x 1.0)))

simplify112.0ms

Algorithm
egg-herbie
Counts
536 → 536
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
018776356
150025583

prune434.0ms

Filtered
536 candidates to 207 candidates (38.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New5360536
Fresh011
Picked011
Done022
Total5364540

Merged error: 0b

Counts
540 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))
0.3b
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
0.3b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-prod
54×*-un-lft-identity
46×add-sqr-sqrt
28×cbrt-div
22×add-cube-cbrt
19×swap-sqr
18×pow1
15×associate-*r* associate-*l*
14×pow1/3
8×add-exp-log frac-times flip3-+ flip-+ distribute-lft-out unswap-sqr
6×flip3-- flip-- distribute-lft-out--
4×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube add-log-exp difference-of-squares
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 137
Calls
4 calls:
3.0ms
(cbrt (+ x 1.0))
3.0ms
(cbrt (+ x 1.0))
10.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
9.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

series379.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(cbrt (+ x 1.0))
87.0ms
(cbrt (+ x 1.0))
107.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
99.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04271131
114411071
25001985

prune313.0ms

Filtered
149 candidates to 97 candidates (65.1%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1490149
Fresh000
Picked011
Done033
Total1494153

Merged error: 0b

Counts
153 → 4

regimes28.0ms

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
063
163

end0.0ms

sample218.0ms

Algorithm
intervals
Results
133.0ms8000×body80valid

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