Details

Time bar (total: 1.9s)

analyze4.0ms

Algorithm
search

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1125
2125

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
35×times-frac
30×add-sqr-sqrt
22×add-cube-cbrt
11×distribute-lft-out
9×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l* distribute-lft-out--
5×add-log-exp
4×associate-/r/ difference-of-squares
3×pow1
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
1×+-commutative flip3-- frac-add sum-log flip--
Counts
3 → 87
Calls
3 calls:
23.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
6.0ms
(/ x (+ x 1.0))
5.0ms
(/ 1.0 (- x 1.0))

series11.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
3.0ms
(/ x (+ x 1.0))
2.0ms
(/ 1.0 (- x 1.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0379534
11365507
25002502

prune124.0ms

Filtered
70 candidates to 96 candidates (-37.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New93396
Fresh000
Picked101
Done000
Total94397

Merged error: 0b

Counts
97 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
124×*-un-lft-identity
80×add-sqr-sqrt
72×add-cube-cbrt
24×associate-/r*
20×distribute-lft-out
19×add-exp-log
13×add-cbrt-cube
10×associate-/l*
9×div-exp
8×div-inv
6×add-log-exp
5×pow1 cbrt-undiv distribute-lft-out--
4×difference-of-squares
3×frac-2neg clear-num associate-/r/
2×rec-exp flip3-+ 1-exp flip-+ associate-/l/
1×+-commutative flip3-- pow-flip frac-add sum-log flip-- inv-pow
Counts
4 → 174
Calls
4 calls:
6.0ms
(/ (+ x 1.0) x)
50.0ms
(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
5.0ms
(/ 1.0 (- x 1.0))
8.0ms
(/ 1 (/ (+ x 1.0) x))

series16.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ (+ x 1.0) x)
6.0ms
(+ (/ 1.0 (- x 1.0)) (/ 1 (/ (+ x 1.0) x)))
2.0ms
(/ 1.0 (- x 1.0))
3.0ms
(/ 1 (/ (+ x 1.0) x))

simplify67.0ms

Algorithm
egg-herbie
Counts
186 → 186
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06181195
12829997
25001988

prune169.0ms

Filtered
106 candidates to 186 candidates (-75.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1860186
Fresh022
Picked011
Done000
Total1863189

Merged error: 0b

Counts
189 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(- (* x x) (* 1.0 1.0))
0.3b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
10.9b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
37×times-frac
36×add-sqr-sqrt
31×add-cube-cbrt
18×associate-*l*
13×add-exp-log add-cbrt-cube
8×associate-/r* difference-of-squares
6×pow1 associate-/r/ associate-/l* add-log-exp
5×distribute-lft-out
4×associate-*r*
3×cbrt-undiv flip3-- flip3-+ div-exp flip-- flip-+ div-inv
2×frac-times frac-2neg associate-*r/ prod-exp clear-num cbrt-unprod unswap-sqr
1×distribute-rgt-in sub-neg distribute-lft-in diff-log pow-prod-down associate-*l/ *-commutative
Counts
4 → 123
Calls
4 calls:
5.0ms
(/ x (+ x 1.0))
3.0ms
(- (* x x) (* 1.0 1.0))
5.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
11.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series14.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ x (+ x 1.0))
4.0ms
(- (* x x) (* 1.0 1.0))
4.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
4.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0602923
12809839
25001837

prune189.0ms

Filtered
105 candidates to 135 candidates (-28.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh011
Picked011
Done011
Total1353138

Merged error: 0b

Counts
138 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
280×*-un-lft-identity
125×times-frac
74×add-sqr-sqrt
66×distribute-lft-out
64×cbrt-prod
42×add-cube-cbrt
32×distribute-lft-out--
25×swap-sqr
24×cbrt-div
15×associate-/r*
12×add-exp-log difference-of-squares
11×pow1 associate-*r* associate-*l*
10×add-cbrt-cube
9×frac-times associate-/l*
8×flip3-+ frac-add flip-+
6×pow1/3 associate-/r/
4×add-log-exp unswap-sqr
3×cbrt-undiv flip3-- frac-2neg associate-*r/ div-exp associate-*l/ clear-num flip-- div-inv
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 195
Calls
4 calls:
55.0ms
(* (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))) (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
5.0ms
(/ 1.0 (- x 1.0))
5.0ms
(/ 1.0 (- x 1.0))
5.0ms
(/ 1.0 (- x 1.0))

series28.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))) (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
2.0ms
(/ 1.0 (- x 1.0))
2.0ms
(/ 1.0 (- x 1.0))
2.0ms
(/ 1.0 (- x 1.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04232024
116551926
250011720

prune456.0ms

Filtered
128 candidates to 207 candidates (-61.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2070207
Fresh000
Picked011
Done022
Total2073210

Merged error: 0b

Counts
210 → 3

regimes55.0ms

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
0136
1136

end0.0ms

analyze4.0ms

Algorithm
search

sample308.0ms

Algorithm
intervals
Results
224.0ms8000×body80valid

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