Details

Time bar (total: 2.8s)

analyze315.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%62.5%12.5%4
25%56.2%18.8%5
28.1%50%21.9%6
29.7%46.9%23.5%7
30.5%45.3%24.3%8
30.8%44.9%24.3%9
31.2%44.5%24.3%10
31.3%44.4%24.3%11
31.4%44.3%24.3%12
31.4%44.2%24.3%13
31.5%44.2%24.3%14

sample54.0ms

Algorithm
intervals
Results
12.0ms75×body1280valid
5.0ms47×body640valid
2.0ms30×body320valid
2.0ms98×body80valid
0.0ms6×body160valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049997
149997

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 40.4b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ (exp x) (- (exp x) 1.0))
37.6b
(- (exp x) 1.0)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r* distribute-lft-out-- difference-of-squares
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 50
Calls
2 calls:
6.0ms
(/ (exp x) (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)

series12.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (exp x) (- (exp x) 1.0))
2.0ms
(- (exp x) 1.0)

simplify60.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05019574

prune81.0ms

Filtered
41 candidates to 56 candidates (-36.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New52456
Fresh000
Picked011
Done000
Total52557

Merged error: 0.0b

Counts
57 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1/12) (/ 1 x))
0.3b
(* x 1/12)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 29
Calls
2 calls:
6.0ms
(+ (* x 1/12) (/ 1 x))
3.0ms
(* x 1/12)

series6.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (* x 1/12) (/ 1 x))
2.0ms
(* x 1/12)

simplify63.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04843225
14843225

prune41.0ms

Filtered
23 candidates to 35 candidates (-52.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh033
Picked011
Done011
Total35540

Merged error: 0.0b

Counts
40 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (exp x))
37.6b
(- 1 (/ 1.0 (exp x)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
14×*-un-lft-identity
11×times-frac
10×add-cube-cbrt
4×add-cbrt-cube add-log-exp difference-of-squares
3×add-exp-log associate-/r* associate-/l*
2×pow1
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- div-inv distribute-lft-out--
Counts
2 → 43
Calls
2 calls:
4.0ms
(/ 1.0 (exp x))
7.0ms
(- 1 (/ 1.0 (exp x)))

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ 1.0 (exp x))
8.0ms
(- 1 (/ 1.0 (exp x)))

simplify70.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04876413
14876413

prune55.0ms

Filtered
36 candidates to 49 candidates (-36.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New49049
Fresh022
Picked011
Done022
Total49554

Merged error: 0.0b

Counts
54 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) 1.0)
0.7b
(* (/ (exp x) (- (pow (exp x) 2) (* 1.0 1.0))) (+ (exp x) 1.0))
0.7b
(/ (exp x) (- (pow (exp x) 2) (* 1.0 1.0)))
37.6b
(- (pow (exp x) 2) (* 1.0 1.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
43×times-frac
32×*-un-lft-identity difference-of-squares
28×add-cube-cbrt
27×associate-*l*
11×add-cbrt-cube
9×add-exp-log
8×unpow-prod-down unpow2 add-log-exp sqr-pow
7×associate-/r*
6×pow1
4×associate-*r* associate-/r/
3×flip3-- flip3-+ flip-- flip-+ associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv distribute-lft-out unswap-sqr
1×+-commutative distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
4 → 125
Calls
4 calls:
4.0ms
(+ (exp x) 1.0)
15.0ms
(* (/ (exp x) (- (pow (exp x) 2) (* 1.0 1.0))) (+ (exp x) 1.0))
7.0ms
(/ (exp x) (- (pow (exp x) 2) (* 1.0 1.0)))
5.0ms
(- (pow (exp x) 2) (* 1.0 1.0))

series32.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+ (exp x) 1.0)
14.0ms
(* (/ (exp x) (- (pow (exp x) 2) (* 1.0 1.0))) (+ (exp x) 1.0))
13.0ms
(/ (exp x) (- (pow (exp x) 2) (* 1.0 1.0)))
4.0ms
(- (pow (exp x) 2) (* 1.0 1.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050331809

prune184.0ms

Filtered
107 candidates to 137 candidates (-28.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1343137
Fresh101
Picked101
Done123
Total1375142

Merged error: 0b

Counts
142 → 5

regimes105.0ms

Accuracy

96.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 21.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03636
13636

end0.0ms

sample1.5s

Algorithm
intervals
Results
375.0ms2257×body1280valid
167.0ms1641×body640valid
57.0ms832×body320valid
55.0ms2889×body80valid
17.0ms381×body160valid

Profiling

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