Details

Time bar (total: 1.7s)

sample23.0ms

Algorithm
intervals
Results
7.0ms59×body640valid
5.0ms52×body320valid
4.0ms134×body80valid
1.0ms11×body160valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01511
11511

prune5.0ms

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: 15.0b

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))
3.1b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite47.0ms

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:
6.0ms
(/ 1.0 (- x 1.0))
9.0ms
(/ 1.0 (+ x 1.0))
27.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series13.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ 1.0 (- x 1.0))
2.0ms
(/ 1.0 (+ x 1.0))
8.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049821247
149821247

prune160.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1092111
Fresh000
Picked101
Done000
Total1102112

Merged error: 0.2b

Counts
112 → 2

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp prod-exp cbrt-unprod
2×associate-/r/ difference-of-squares
1×pow1 flip3-- frac-2neg clear-num flip-- div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
10.0ms
(/ (* 1.0 (* 1.0 -2)) (- (* x x) (* 1.0 1.0)))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(/ (* 1.0 (* 1.0 -2)) (- (* x x) (* 1.0 1.0)))

simplify37.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04950446
14950446

prune56.0ms

Filtered
22 candidates to 30 candidates (-36.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New26430
Fresh101
Picked011
Done000
Total27532

Merged error: 0.0b

Counts
32 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
35×add-exp-log add-cbrt-cube
29×times-frac
26×add-sqr-sqrt
22×add-cube-cbrt
18×associate-*l*
12×prod-exp cbrt-unprod
10×cbrt-undiv div-exp
9×associate-/r*
8×pow1
7×distribute-lft-out
6×associate-/r/
4×associate-/l*
3×pow-prod-down div-inv add-log-exp
2×frac-2neg flip3-+ associate-*l/ clear-num flip-+ distribute-lft-out-- difference-of-squares
1×flip3-- associate-*r* *-commutative flip-- associate-/l/
Counts
3 → 105
Calls
3 calls:
11.0ms
(* (/ 1.0 (+ 1.0 x)) (* 1.0 -2))
6.0ms
(/ 1.0 (+ 1.0 x))
14.0ms
(/ (* (/ 1.0 (+ 1.0 x)) (* 1.0 -2)) (- x 1.0))

series10.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(* (/ 1.0 (+ 1.0 x)) (* 1.0 -2))
2.0ms
(/ 1.0 (+ 1.0 x))
5.0ms
(/ (* (/ 1.0 (+ 1.0 x)) (* 1.0 -2)) (- x 1.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
049591271
149591271

prune157.0ms

Filtered
76 candidates to 114 candidates (-50.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh033
Picked011
Done011
Total1136119

Merged error: 0b

Counts
119 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1.0 (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))))
15.2b
(cbrt (- (* x x) (* 1.0 1.0)))
15.2b
(cbrt (- (* x x) (* 1.0 1.0)))
15.2b
(cbrt (- (* x x) (* 1.0 1.0)))

rewrite28.0ms

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:
13.0ms
(/ 1.0 (* (cbrt (- (* x x) (* 1.0 1.0))) (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)))
4.0ms
(cbrt (- (* x x) (* 1.0 1.0)))

series62.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ 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)))
16.0ms
(cbrt (- (* x x) (* 1.0 1.0)))
14.0ms
(cbrt (- (* x x) (* 1.0 1.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
052761238

prune216.0ms

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

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New83083
Fresh033
Picked011
Done022
Total83689

Merged error: 0b

Counts
89 → 6

regimes40.0ms

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

sample655.0ms

Algorithm
intervals
Results
214.0ms1858×body640valid
138.0ms4281×body80valid
111.0ms1222×body320valid
38.0ms639×body160valid

Profiling

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