Details

Time bar (total: 2.9s)

sample47.0ms

Algorithm
intervals
Results
20.0ms126×body1280valid
6.0ms67×body640valid
4.0ms387×pre80true
2.0ms134×body80valid
2.0ms39×body320valid
1.0ms21×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
172
272

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: 59.4b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

5.7b
(- (exp x) 1.0)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity add-log-exp
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
4.0ms
(- (exp x) 1.0)

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(- (exp x) 1.0)

simplify53.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
08172
118567
249966
3139966
4500266

prune41.0ms

Filtered
17 candidates to 12 candidates (29.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New15217
Fresh000
Picked101
Done000
Total16218

Merged error: 0.0b

Counts
18 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b
(* x 1/6)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
11×associate-*l*
9×add-exp-log
7×add-cube-cbrt *-un-lft-identity
6×associate-*r* add-cbrt-cube
5×unswap-sqr
4×pow1 unpow-prod-down prod-exp
2×associate-*r/ *-commutative cbrt-unprod unpow2 add-log-exp sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in flip3-+ pow-prod-down pow-exp flip-+
Counts
2 → 49
Calls
2 calls:
7.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms
(* x 1/6)

series93.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
16.0ms
(* x 1/6)

simplify43.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0247238
11168215
25001215

prune137.0ms

Filtered
55 candidates to 35 candidates (36.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New55055
Fresh011
Picked011
Done000
Total55257

Merged error: 0.0b

Counts
57 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
0.0b
(+ (exp x) 1.0)
0.0b
(* (exp x) (exp x))
5.7b
(- (* (exp x) (exp x)) (* 1.0 1.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
26×add-sqr-sqrt
24×add-cube-cbrt
18×exp-prod
16×times-frac
11×pow1
8×add-cbrt-cube add-log-exp
6×add-exp-log distribute-lft-out difference-of-squares
4×pow-prod-down associate-/r* pow-sqr pow-prod-up associate-/l*
3×swap-sqr associate-*r* associate-*l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative pow2 sub-neg frac-2neg pow-plus diff-log div-sub div-exp prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 100
Calls
4 calls:
11.0ms
(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
4.0ms
(+ (exp x) 1.0)
6.0ms
(* (exp x) (exp x))
6.0ms
(- (* (exp x) (exp x)) (* 1.0 1.0))

series117.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ (- (* (exp x) (exp x)) (* 1.0 1.0)) (+ (exp x) 1.0))
9.0ms
(+ (exp x) 1.0)
19.0ms
(* (exp x) (exp x))
31.0ms
(- (* (exp x) (exp x)) (* 1.0 1.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0376823
11712737
25001719

prune375.0ms

Filtered
112 candidates to 78 candidates (30.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1111112
Fresh000
Picked101
Done011
Total1122114

Merged error: 0.0b

Counts
114 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) 1.0)
0.0b
(/ (* 1.0 1.0) (+ (exp x) 1.0))
0.0b
(pow (exp x) 2)
5.7b
(- (/ (pow (exp x) 2) (+ (exp x) 1.0)) (/ (* 1.0 1.0) (+ (exp x) 1.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
17×*-un-lft-identity times-frac
10×difference-of-squares
9×add-exp-log add-cube-cbrt add-cbrt-cube
8×add-log-exp
6×associate-/r/
5×pow1 unpow-prod-down
4×pow-pow flip3-+ associate-/r* flip-+
3×pow-unpow exp-prod distribute-rgt-out-- div-inv distribute-lft-out unpow2 sqr-pow
2×cbrt-undiv div-exp
1×+-commutative pow-to-exp sub-neg flip3-- frac-2neg diff-log pow-exp prod-exp clear-num sum-log frac-sub flip-- cbrt-unprod associate-/l* distribute-lft-out-- sub-div
Counts
4 → 86
Calls
4 calls:
4.0ms
(+ (exp x) 1.0)
6.0ms
(/ (* 1.0 1.0) (+ (exp x) 1.0))
3.0ms
(pow (exp x) 2)
27.0ms
(- (/ (pow (exp x) 2) (+ (exp x) 1.0)) (/ (* 1.0 1.0) (+ (exp x) 1.0)))

series163.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+ (exp x) 1.0)
28.0ms
(/ (* 1.0 1.0) (+ (exp x) 1.0))
16.0ms
(pow (exp x) 2)
107.0ms
(- (/ (pow (exp x) 2) (+ (exp x) 1.0)) (/ (* 1.0 1.0) (+ (exp x) 1.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0410805
11478741
25002737

prune330.0ms

Filtered
98 candidates to 69 candidates (29.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh000
Picked011
Done011
Total982100

Merged error: 0.0b

Counts
100 → 2

regimes49.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample1.2s

Algorithm
intervals
Results
527.0ms3474×body1280valid
228.0ms2447×body640valid
115.0ms12002×pre80true
70.0ms1210×body320valid
58.0ms4205×body80valid
24.0ms666×body160valid

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