Details

Time bar (total: 2.1s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01211
11211

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

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:
30.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
6.0ms
(/ 1.0 (- x 1.0))
6.0ms
(/ x (+ x 1.0))

series12.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
2.0ms
(/ 1.0 (- x 1.0))
3.0ms
(/ x (+ x 1.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05273996

prune133.0ms

Filtered
71 candidates to 96 candidates (-35.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New93396
Fresh000
Picked101
Done000
Total94397

Merged error: 0b

Counts
97 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
0.0b
(/ x (+ x 1.0))
0.2b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
14.5b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

rewrite48.0ms

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*
7×difference-of-squares
6×pow1 flip3-+ associate-/r/ flip-+ associate-/l* add-log-exp
5×frac-add distribute-lft-out
4×frac-times associate-*r/ associate-*r*
3×cbrt-undiv div-exp div-inv
2×distribute-rgt-in associate-+l+ flip3-- frac-2neg distribute-lft-in associate-*l/ prod-exp clear-num flip-- cbrt-unprod unswap-sqr
1×+-commutative pow-prod-down sum-log *-commutative
Counts
4 → 128
Calls
4 calls:
16.0ms
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
6.0ms
(/ x (+ x 1.0))
6.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
15.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0))

series21.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0)) (/ x (+ x 1.0)))
3.0ms
(/ x (+ x 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))

simplify59.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049861831
149861831

prune232.0ms

Filtered
115 candidates to 140 candidates (-21.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1400140
Fresh022
Picked011
Done000
Total1403143

Merged error: 0b

Counts
143 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(cbrt (pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3))
0.0b
(/ x (+ x 1.0))
0.0b
(pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
133×*-un-lft-identity
59×times-frac
37×add-sqr-sqrt
32×distribute-lft-out
29×add-cube-cbrt
22×cbrt-prod
16×unpow-prod-down cube-prod
12×distribute-lft-out--
9×add-exp-log associate-/r* add-cbrt-cube
6×cube-div associate-/l*
5×pow1
4×associate-/r/ add-log-exp difference-of-squares
3×pow-unpow cbrt-div flip3-+ flip-+
2×cbrt-undiv cube-mult frac-2neg unpow3 div-exp frac-add clear-num div-inv sqr-pow
1×pow-to-exp flip3-- pow-pow pow1/3 pow-exp flip-- rem-cbrt-cube rem-cube-cbrt
Counts
4 → 140
Calls
4 calls:
6.0ms
(/ 1.0 (- x 1.0))
31.0ms
(cbrt (pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3))
6.0ms
(/ x (+ x 1.0))
28.0ms
(pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3)

series22.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1.0 (- x 1.0))
8.0ms
(cbrt (pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3))
3.0ms
(/ x (+ x 1.0))
9.0ms
(pow (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))) 3)

simplify46.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051331958

prune200.0ms

Filtered
90 candidates to 152 candidates (-68.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1520152
Fresh011
Picked011
Done011
Total1523155

Merged error: 0b

Counts
155 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
277×*-un-lft-identity
116×times-frac
78×distribute-lft-out
64×cbrt-prod
47×add-sqr-sqrt
39×add-cube-cbrt
25×swap-sqr
24×cbrt-div
20×distribute-lft-out--
12×add-exp-log associate-/r*
11×pow1 flip3-+ associate-*r* associate-*l* flip-+
10×add-cbrt-cube
9×frac-times associate-/l*
8×frac-add
6×pow1/3 associate-/r/
4×add-log-exp unswap-sqr
3×cbrt-undiv frac-2neg associate-*r/ div-exp associate-*l/ clear-num div-inv
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 183
Calls
4 calls:
58.0ms
(* (cbrt (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))) (cbrt (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))))
6.0ms
(/ x (+ x 1.0))
6.0ms
(/ x (+ x 1.0))
8.0ms
(/ x (+ x 1.0))

series29.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (cbrt (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))) (cbrt (+ (/ x (+ x 1.0)) (/ 1.0 (- x 1.0)))))
3.0ms
(/ x (+ x 1.0))
3.0ms
(/ x (+ x 1.0))
3.0ms
(/ x (+ x 1.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049222995
149222995

prune416.0ms

Filtered
116 candidates to 195 candidates (-68.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1950195
Fresh000
Picked011
Done022
Total1953198

Merged error: 0b

Counts
198 → 3

regimes38.0ms

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
01319
11319

end0.0ms

sample405.0ms

Algorithm
intervals
Results
259.0ms8000×body80valid

Profiling

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