Details

Time bar (total: 2.5s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%74.6%25.4%0
0%74.6%25.4%1
37.3%37.3%25.4%2
37.3%18.7%44%3
46.7%9.3%44%4
46.7%4.7%48.7%5
49%2.3%48.7%6
49%1.2%49.8%7
49.6%0.6%49.8%8
49.9%0.3%49.8%9
49.9%0.1%50%10
49.9%0.1%50.1%11
49.9%0%50.1%12
49.9%0%50.1%13
49.9%0%50.1%14

sample36.0ms

Algorithm
intervals
Results
16.0ms101×body1280valid
8.0ms82×body640valid
3.0ms256×pre80true
3.0ms40×body320valid
1.0ms24×body160valid
0.0ms9×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
044
144

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.1b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

6.6b
(- (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 → 13
Calls
1 calls:
4.0ms
(- (exp x) 1.0)

series2.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(- (exp x) 1.0)

simplify46.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05297115

prune40.0ms

Filtered
12 candidates to 16 candidates (-33.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New12416
Fresh000
Picked101
Done000
Total13417

Merged error: 0.0b

Counts
17 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
9×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in associate-*l*
7×associate-*r*
6×associate-*r/ add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×associate-+r+
3×flip3-+ *-commutative flip-+
2×unswap-sqr
1×+-commutative sum-log
Counts
4 → 79
Calls
4 calls:
3.0ms
(+ x (* x (* x (+ 1/2 (* x 1/6)))))
5.0ms
(* x (+ 1/2 (* x 1/6)))
6.0ms
(* x (* x (+ 1/2 (* x 1/6))))
4.0ms
(* x 1/6)

series20.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ x (* x (* x (+ 1/2 (* x 1/6)))))
6.0ms
(* x (+ 1/2 (* x 1/6)))
8.0ms
(* x (* x (+ 1/2 (* x 1/6))))
2.0ms
(* x 1/6)

simplify47.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05772799

prune91.0ms

Filtered
62 candidates to 91 candidates (-46.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New91091
Fresh033
Picked011
Done000
Total91495

Merged error: 0.0b

Counts
95 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) 1.0)
0.0b
(/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0))
0.0b
(pow (exp x) 2)
6.5b
(- (pow (exp x) 2) (* 1.0 1.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
32×add-sqr-sqrt
28×times-frac
24×difference-of-squares
20×add-cube-cbrt
9×unpow-prod-down distribute-lft-out
8×add-log-exp
7×associate-/l* unpow2 sqr-pow
6×add-exp-log add-cbrt-cube
5×pow1
4×pow-pow associate-/r*
3×pow-unpow exp-prod
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative pow-to-exp sub-neg frac-2neg diff-log div-sub div-exp pow-exp clear-num sum-log div-inv
Counts
4 → 104
Calls
4 calls:
4.0ms
(+ (exp x) 1.0)
10.0ms
(/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0))
3.0ms
(pow (exp x) 2)
7.0ms
(- (pow (exp x) 2) (* 1.0 1.0))

series18.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+ (exp x) 1.0)
9.0ms
(/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0))
3.0ms
(pow (exp x) 2)
4.0ms
(- (pow (exp x) 2) (* 1.0 1.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050181316

prune134.0ms

Filtered
77 candidates to 116 candidates (-50.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1151116
Fresh022
Picked101
Done011
Total1164120

Merged error: 0.0b

Counts
120 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (pow (pow (exp x) 2) 3) (pow (* 1.0 1.0) 3)) (* (+ (pow (exp x) 4) (+ (pow 1.0 4) (* (pow (exp x) 2) (* 1.0 1.0)))) (+ (exp x) 1.0)))
0.0b
(pow (pow (exp x) 2) 3)
0.1b
(pow (exp x) 4)
6.4b
(- (pow (pow (exp x) 2) 3) (pow (* 1.0 1.0) 3))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
120×difference-of-squares
119×unpow-prod-down
104×add-sqr-sqrt
86×cube-prod
70×sqr-pow
45×times-frac associate-/l*
26×unpow2
20×*-un-lft-identity
14×add-cube-cbrt
10×add-exp-log add-cbrt-cube
8×associate-/r/
6×pow-unpow flip3-+ flip-+ add-log-exp
5×pow1 pow-pow pow-exp
4×frac-times
3×difference-cubes pow-to-exp exp-prod distribute-lft-out--
2×cbrt-undiv flip3-- associate-*r/ div-exp associate-*l/ flip-- associate-/l/
1×cube-mult sub-neg frac-2neg diff-log unpow3 div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv rem-cube-cbrt
Counts
4 → 224
Calls
4 calls:
32.0ms
(/ (- (pow (pow (exp x) 2) 3) (pow (* 1.0 1.0) 3)) (* (+ (pow (exp x) 4) (+ (pow 1.0 4) (* (pow (exp x) 2) (* 1.0 1.0)))) (+ (exp x) 1.0)))
4.0ms
(pow (pow (exp x) 2) 3)
3.0ms
(pow (exp x) 4)
15.0ms
(- (pow (pow (exp x) 2) 3) (pow (* 1.0 1.0) 3))

series59.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (- (pow (pow (exp x) 2) 3) (pow (* 1.0 1.0) 3)) (* (+ (pow (exp x) 4) (+ (pow 1.0 4) (* (pow (exp x) 2) (* 1.0 1.0)))) (+ (exp x) 1.0)))
7.0ms
(pow (pow (exp x) 2) 3)
5.0ms
(pow (exp x) 4)
8.0ms
(- (pow (pow (exp x) 2) 3) (pow (* 1.0 1.0) 3))

simplify89.0ms

Algorithm
egg-herbie
Counts
236 → 236
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
050995508

prune418.0ms

Filtered
112 candidates to 236 candidates (-110.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2351236
Fresh022
Picked101
Done011
Total2364240

Merged error: 0.0b

Counts
240 → 4

regimes130.0ms

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
01311
11311

end0.0ms

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%74.6%25.4%0
0%74.6%25.4%1
37.3%37.3%25.4%2
37.3%18.7%44%3
46.7%9.3%44%4
46.7%4.7%48.7%5
49%2.3%48.7%6
49%1.2%49.8%7
49.6%0.6%49.8%8
49.9%0.3%49.8%9
49.9%0.1%50%10
49.9%0.1%50.1%11
49.9%0%50.1%12
49.9%0%50.1%13
49.9%0%50.1%14

sample1.1s

Algorithm
intervals
Results
550.0ms3400×body1280valid
259.0ms2519×body640valid
87.0ms8001×pre80true
85.0ms1288×body320valid
25.0ms603×body160valid
4.0ms190×body80valid
0.0ms1×body80invalid

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