Details

Time bar (total: 2.0s)

analyze316.0ms

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

sample31.0ms

Algorithm
intervals
Results
15.0ms82×body1280valid
6.0ms58×body640valid
2.0ms34×body320valid
2.0ms74×body80valid
0.0ms8×body160valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049997
149997

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 45.8b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (exp x) (- (exp x) 1.0))
3.0b
(- (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)

series8.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (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

prune78.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New52456
Fresh000
Picked101
Done000
Total53457

Merged error: 0.0b

Counts
57 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (exp x) (+ x (* x (* x (+ 1/2 (* x 1/6))))))
0.0b
(* x (* x (+ 1/2 (* x 1/6))))
0.1b
(* x (+ 1/2 (* x 1/6)))
0.4b
(* x 1/6)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
15×add-cbrt-cube
14×add-exp-log
13×pow1
9×times-frac associate-*l*
7×associate-*r*
6×associate-*r/
5×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×flip3-+ associate-/r* *-commutative flip-+ associate-/l*
2×associate-/r/ unswap-sqr
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 93
Calls
4 calls:
5.0ms
(/ (exp x) (+ x (* x (* x (+ 1/2 (* x 1/6))))))
7.0ms
(* x (* x (+ 1/2 (* x 1/6))))
5.0ms
(* x (+ 1/2 (* x 1/6)))
4.0ms
(* x 1/6)

series19.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (exp x) (+ x (* x (* x (+ 1/2 (* x 1/6))))))
6.0ms
(* x (* x (+ 1/2 (* x 1/6))))
5.0ms
(* x (+ 1/2 (* x 1/6)))
2.0ms
(* x 1/6)

simplify53.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049201226
149201226

prune113.0ms

Filtered
74 candidates to 105 candidates (-41.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1050105
Fresh033
Picked011
Done000
Total1054109

Merged error: 0.0b

Counts
109 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1/12) (/ 1 x))
0.4b
(* 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)

simplify61.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04843225
14843225

prune39.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh022
Picked011
Done011
Total35439

Merged error: 0.0b

Counts
39 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (exp x))
0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
3.1b
(- 1 (/ 1.0 (exp x)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
44×*-un-lft-identity
43×times-frac
24×add-cube-cbrt
20×difference-of-squares
11×associate-/r*
8×add-exp-log
7×add-cbrt-cube
6×associate-/l*
5×distribute-lft-out-- add-log-exp
4×pow1
3×div-exp
2×cbrt-undiv flip3-- frac-2neg clear-num associate-/r/ flip-- div-inv
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
3 → 96
Calls
3 calls:
4.0ms
(/ 1.0 (exp x))
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
7.0ms
(- 1 (/ 1.0 (exp x)))

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1.0 (exp x))
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
6.0ms
(- 1 (/ 1.0 (exp x)))

simplify71.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
048711130
148711130

prune94.0ms

Filtered
65 candidates to 105 candidates (-61.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1041105
Fresh011
Picked101
Done022
Total1054109

Merged error: 0.0b

Counts
109 → 4

regimes57.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01514
11514

end0.0ms

sample825.0ms

Algorithm
intervals
Results
378.0ms2199×body1280valid
188.0ms1693×body640valid
64.0ms2879×body80valid
57.0ms806×body320valid
21.0ms423×body160valid

Profiling

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