Details

Time bar (total: 2.4s)

sample42.0ms

Algorithm
intervals
Results
18.0ms122×body1280valid
7.0ms81×body640valid
5.0ms373×pre80true
2.0ms34×body320valid
2.0ms121×body80valid
1.0ms15×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
172
272

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.9b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

4.2b
(- (exp x) 1.0)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-log-exp
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)

series14.0ms

Counts
1 → 3
Calls
1 calls:
14.0ms
(- (exp x) 1.0)

simplify55.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
08172
118567
249966
3139966
4500266

prune39.0ms

Filtered
17 candidates to 12 candidates (70.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New14317
Fresh000
Picked101
Done000
Total15318

Merged error: 0.0b

Counts
18 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
11×associate-*l*
10×add-exp-log
add-cube-cbrt *-un-lft-identity
add-cbrt-cube
associate-*r*
pow1 add-log-exp unswap-sqr
unpow-prod-down prod-exp
distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ *-commutative cbrt-unprod flip-+ unpow2 sqr-pow
+-commutative pow-to-exp pow-prod-down pow-exp sum-log
Counts
3 → 62
Calls
3 calls:
8.0ms
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
7.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms
(* x 1/6)

series102.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
63.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms
(* x 1/6)

simplify52.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0310366
11605330
25001328

prune95.0ms

Filtered
71 candidates to 47 candidates (66.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New71071
Fresh022
Picked011
Done000
Total71374

Merged error: 0.0b

Counts
74 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp x))
0.0b
(+ (sqrt (exp x)) (sqrt 1.0))
0.0b
(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
4.3b
(- (sqrt (exp x)) (sqrt 1.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
24×*-un-lft-identity
19×sqrt-prod
associate-*r*
add-cube-cbrt add-log-exp difference-of-squares
pow1
add-exp-log add-cbrt-cube
associate-*l*
frac-times flip3-- sqrt-pow1 flip3-+ flip-- flip-+ distribute-lft-out distribute-lft-out--
sub-neg exp-prod
distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/
+-commutative rem-sqrt-square pow1/2 diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 85
Calls
4 calls:
2.0ms
(sqrt (exp x))
6.0ms
(+ (sqrt (exp x)) (sqrt 1.0))
15.0ms
(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
6.0ms
(- (sqrt (exp x)) (sqrt 1.0))

series174.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (exp x))
30.0ms
(+ (sqrt (exp x)) (sqrt 1.0))
91.0ms
(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
38.0ms
(- (sqrt (exp x)) (sqrt 1.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0262774
11117677
25001652

prune153.0ms

Filtered
97 candidates to 65 candidates (67.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New96197
Fresh011
Picked101
Done011
Total973100

Merged error: 0.0b

Counts
100 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (- (exp x) 1.0))
4.2b
(log (exp (- (exp x) 1.0)))
4.2b
(- (exp x) 1.0)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×exp-prod
add-log-exp
add-cube-cbrt log-pow
log-prod
pow1 exp-sum
add-exp-log sub-neg add-cbrt-cube distribute-lft-out-- difference-of-squares
exp-diff diff-log rem-exp-log
log-div flip3-- rem-log-exp flip--
Counts
3 → 51
Calls
3 calls:
5.0ms
(exp (- (exp x) 1.0))
5.0ms
(log (exp (- (exp x) 1.0)))
4.0ms
(- (exp x) 1.0)

series63.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(exp (- (exp x) 1.0))
13.0ms
(log (exp (- (exp x) 1.0)))
14.0ms
(- (exp x) 1.0)

simplify82.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0132235
1323214
2836212
32686212
45001212

prune78.0ms

Filtered
60 candidates to 40 candidates (66.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New60060
Fresh011
Picked011
Done011
Total60363

Merged error: 0.0b

Counts
63 → 3

regimes55.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample1.2s

Algorithm
intervals
Results
538.0ms3430×body1280valid
238.0ms2484×body640valid
127.0ms12081×pre80true
78.0ms1292×body320valid
61.0ms4251×body80valid
24.0ms624×body160valid

Profiling

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