Details

Time bar (total: 2.5m)

sample20.0ms

Algorithm
intervals
Results
5.0ms57×body640valid
3.0ms145×body80valid
2.0ms33×body320valid
1.0ms21×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1124
2124

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.3b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.8b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
17×add-sqr-sqrt
16×times-frac
8×distribute-lft-out--
5×add-cube-cbrt
4×difference-of-squares
3×distribute-lft-out add-log-exp
2×div-inv
1×pow1 add-exp-log sub-neg flip3-- diff-log frac-sub add-cbrt-cube flip--
Counts
1 → 25
Calls
1 calls:
16.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify64.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0171219
1443205
21990203
35001203

prune62.0ms

Filtered
28 candidates to 21 candidates (25.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New26228
Fresh000
Picked101
Done000
Total27229

Merged error: 0.5b

Counts
29 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
1.9b
(- x (+ x 1.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
7×*-un-lft-identity add-log-exp
4×cbrt-undiv add-sqr-sqrt div-exp prod-exp cbrt-unprod
2×pow1 add-cube-cbrt flip3-- diff-log associate-*r/ associate-*l/ associate-/r/ flip-- associate-/l/ distribute-lft-out--
1×sub-neg frac-2neg flip3-+ times-frac clear-num associate-/r* sum-log flip-+ div-inv distribute-lft-out associate-/l* associate--r+ difference-of-squares
Counts
2 → 42
Calls
2 calls:
11.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
5.0ms
(- x (+ x 1.0))

series56.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
9.0ms
(- x (+ x 1.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0322315
11765251
25001242

prune115.0ms

Filtered
48 candidates to 31 candidates (35.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New45348
Fresh011
Picked011
Done000
Total45550

Merged error: 0.0b

Counts
50 → 5

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
801×times-frac
529×*-un-lft-identity
409×add-sqr-sqrt
313×add-cube-cbrt
83×associate-/l*
60×distribute-lft-out
48×distribute-lft-out-- difference-of-squares
28×associate-/r/
17×div-inv
12×flip3-- flip--
10×add-exp-log add-cbrt-cube
6×cbrt-undiv div-exp
3×associate-/r*
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 352
Calls
1 calls:
22.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series50.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify78.0ms

Algorithm
egg-herbie
Counts
355 → 355
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
015224499
150014342

prune2.9s

Filtered
355 candidates to 235 candidates (33.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3532355
Fresh123
Picked011
Done011
Total3546360

Merged error: 0b

Counts
360 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)) (cbrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)))
11.8b
(cbrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x))
11.8b
(cbrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x))
11.8b
(cbrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
5889×times-frac
4109×*-un-lft-identity
2815×add-sqr-sqrt
2207×cbrt-prod
2129×add-cube-cbrt
477×distribute-lft-out
454×swap-sqr
396×distribute-lft-out--
288×difference-of-squares
256×associate-*r* associate-*l*
147×associate-/r/
91×div-inv
63×flip3-- flip--
25×unswap-sqr
11×pow1
9×pow1/3
7×cbrt-div
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 1798
Calls
4 calls:
722.0ms
(* (cbrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)) (cbrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)))
25.0ms
(cbrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x))
28.0ms
(cbrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x))
25.0ms
(cbrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x))

series741.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(* (cbrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)) (cbrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)))
171.0ms
(cbrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x))
175.0ms
(cbrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x))
185.0ms
(cbrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x))

simplify408.0ms

Algorithm
egg-herbie
Counts
1810 → 1810
Iterations

Useful iterations: 1 (66.0ms)

IterNodesCost
0296039601
1500139499

prune1.4m

Filtered
1810 candidates to 1088 candidates (39.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New181001810
Fresh033
Picked011
Done022
Total181061816

Merged error: 0b

Counts
1816 → 6

regimes43.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample507.0ms

Algorithm
intervals
Results
170.0ms1896×body640valid
98.0ms4232×body80valid
80.0ms1215×body320valid
30.0ms659×body160valid

end57.7s

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