Details

Time bar (total: 2.3s)

sample45.0ms

Algorithm
intervals
Results
18.0ms105×body1280valid
8.0ms83×body640valid
4.0ms379×pre80true
3.0ms45×body320valid
2.0ms129×body80valid
1.0ms17×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: 58.8b

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)

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(- (exp x) 1.0)

simplify56.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
08172
118567
249966
3139966
4500266

prune42.0ms

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: 0b

Counts
18 → 3

localize8.0ms

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
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
6×associate-*r*
5×pow1 add-log-exp unswap-sqr
4×unpow-prod-down prod-exp
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ *-commutative cbrt-unprod flip-+ unpow2 sqr-pow
1×+-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)
8.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms
(* x 1/6)

series107.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
66.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms
(* x 1/6)

simplify56.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0310356
11545328
25001327

prune106.0ms

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: 0b

Counts
74 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (sqrt (exp x)) (sqrt 1.0))
0.0b
(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
5.8b
(- (sqrt (exp x)) (sqrt 1.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity
16×sqrt-prod
9×associate-*r*
8×difference-of-squares
7×add-log-exp
5×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
4×frac-times flip3-- flip3-+ flip-- flip-+ distribute-lft-out distribute-lft-out--
3×sub-neg
2×distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/
1×+-commutative diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
3 → 69
Calls
3 calls:
6.0ms
(+ (sqrt (exp x)) (sqrt 1.0))
16.0ms
(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
7.0ms
(- (sqrt (exp x)) (sqrt 1.0))

series167.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ (sqrt (exp x)) (sqrt 1.0))
95.0ms
(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
41.0ms
(- (sqrt (exp x)) (sqrt 1.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0248720
11094623
25002599

prune132.0ms

Filtered
78 candidates to 52 candidates (66.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh011
Picked011
Done011
Total78381

Merged error: 0b

Counts
81 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(exp (log (- (exp x) 1.0)))
5.7b
(- (exp x) 1.0)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt *-un-lft-identity
5×log-prod exp-sum
4×add-cube-cbrt exp-prod add-log-exp
3×pow1
2×add-exp-log log-div flip3-- exp-diff add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
1×sub-neg diff-log log-pow rem-exp-log
Counts
2 → 33
Calls
2 calls:
5.0ms
(exp (log (- (exp x) 1.0)))
4.0ms
(- (exp x) 1.0)

series31.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(exp (log (- (exp x) 1.0)))
14.0ms
(- (exp x) 1.0)

simplify62.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 3 (18.0ms)

IterNodesCost
0125172
1252162
2615157
31689151
45001151

prune55.0ms

Filtered
39 candidates to 25 candidates (64.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New39039
Fresh000
Picked011
Done022
Total39342

Merged error: 0b

Counts
42 → 3

regimes54.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample1.3s

Algorithm
intervals
Results
543.0ms3410×body1280valid
243.0ms2498×body640valid
128.0ms12020×pre80true
81.0ms1284×body320valid
59.0ms4178×body80valid
25.0ms650×body160valid

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