Details

Time bar (total: 1.5s)

sample25.0ms

Algorithm
intervals
Results
9.0ms143×body80valid
6.0ms62×body640valid
3.0ms40×body320valid
1.0ms11×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01511
11511

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: 13.1b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
1.1b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
55×times-frac
50×add-sqr-sqrt
30×add-cube-cbrt
25×distribute-lft-out--
10×distribute-lft-out
9×associate-/r*
8×difference-of-squares
7×add-exp-log add-cbrt-cube
6×associate-/r/ associate-/l*
5×add-log-exp
4×div-inv
3×pow1 flip--
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-+
1×sub-neg flip3-+ diff-log frac-sub
Counts
3 → 102
Calls
3 calls:
5.0ms
(/ 1.0 (- x 1.0))
5.0ms
(/ 1.0 (+ x 1.0))
23.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series14.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ 1.0 (- x 1.0))
4.0ms
(/ 1.0 (+ x 1.0))
7.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050031244

prune131.0ms

Filtered
80 candidates to 111 candidates (-38.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1101111
Fresh000
Picked011
Done000
Total1102112

Merged error: 0.2b

Counts
112 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* 1.0 1.0))
0.2b
(/ (* 1.0 (* 1.0 -2)) (- (* x x) (* 1.0 1.0)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r* add-log-exp
3×cbrt-undiv div-exp prod-exp cbrt-unprod difference-of-squares
2×pow1 flip3-- associate-/r/ flip--
1×sub-neg frac-2neg diff-log clear-num div-inv associate-/l*
Counts
2 → 40
Calls
2 calls:
3.0ms
(- (* x x) (* 1.0 1.0))
9.0ms
(/ (* 1.0 (* 1.0 -2)) (- (* x x) (* 1.0 1.0)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- (* x x) (* 1.0 1.0))
4.0ms
(/ (* 1.0 (* 1.0 -2)) (- (* x x) (* 1.0 1.0)))

simplify34.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
04938585
14938585

prune66.0ms

Filtered
34 candidates to 46 candidates (-35.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New44246
Fresh000
Picked011
Done101
Total45348

Merged error: 0.0b

Counts
48 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ 1.0 x))
0.1b
(/ (* (/ 1.0 (+ 1.0 x)) (* 1.0 -2)) (- x 1.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
22×add-exp-log add-cbrt-cube
17×add-sqr-sqrt times-frac
13×add-cube-cbrt
9×associate-/r*
8×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
4×associate-/r/ distribute-lft-out associate-/l*
2×pow1 frac-2neg clear-num div-inv distribute-lft-out-- add-log-exp difference-of-squares
1×flip3-- flip3-+ associate-*l/ flip-- flip-+ associate-/l/
Counts
2 → 67
Calls
2 calls:
5.0ms
(/ 1.0 (+ 1.0 x))
12.0ms
(/ (* (/ 1.0 (+ 1.0 x)) (* 1.0 -2)) (- x 1.0))

series7.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ 1.0 (+ 1.0 x))
5.0ms
(/ (* (/ 1.0 (+ 1.0 x)) (* 1.0 -2)) (- x 1.0))

simplify72.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04946858
14946858

prune83.0ms

Filtered
49 candidates to 73 candidates (-49.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh011
Picked011
Done011
Total72476

Merged error: 0.0b

Counts
76 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 1.0 (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))))
14.9b
(cbrt (- (* x x) (* 1.0 1.0)))
14.9b
(cbrt (- (* x x) (* 1.0 1.0)))
14.9b
(cbrt (- (* x x) (* 1.0 1.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
12×cbrt-prod
9×add-exp-log add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity flip--
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l* difference-of-squares
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 71
Calls
4 calls:
11.0ms
(/ 1.0 (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))))
3.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
4.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
4.0ms
(cbrt (- (* x x) (* 1.0 1.0)))

series53.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(/ 1.0 (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))))
14.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
12.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
12.0ms
(cbrt (- (* x x) (* 1.0 1.0)))

simplify63.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
051551238

prune179.0ms

Filtered
66 candidates to 83 candidates (-25.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New83083
Fresh011
Picked011
Done022
Total83487

Merged error: 0.0b

Counts
87 → 4

regimes30.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11213

end0.0ms

sample554.0ms

Algorithm
intervals
Results
181.0ms1799×body640valid
121.0ms4319×body80valid
96.0ms1281×body320valid
31.0ms601×body160valid

Profiling

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