Details

Time bar (total: 2.1s)

analyze310.0ms

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

sample29.0ms

Algorithm
intervals
Results
11.0ms63×body1280valid
6.0ms60×body640valid
2.0ms91×body80valid
2.0ms22×body320valid
1.0ms20×body160valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049997
149997

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 41.4b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ (exp x) (- (exp x) 1.0))
5.1b
(- (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:
7.0ms
(/ (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)

simplify62.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05019574

prune91.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New51556
Fresh000
Picked101
Done000
Total52557

Merged error: 0.0b

Counts
57 → 5

localize10.0ms

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

rewrite25.0ms

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))))))
6.0ms
(* 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:
5.0ms
(/ (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)

simplify57.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049201226
149201226

prune120.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1050105
Fresh044
Picked011
Done000
Total1055110

Merged error: 0.0b

Counts
110 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1/2 (+ (* x 1/12) (/ 1 x)))
0.0b
(+ (* x 1/12) (/ 1 x))
0.3b
(* x 1/12)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×sum-log
3×associate-*r* associate-*l*
2×+-commutative flip3-+ flip-+
1×associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
3 → 43
Calls
3 calls:
7.0ms
(+ 1/2 (+ (* x 1/12) (/ 1 x)))
6.0ms
(+ (* x 1/12) (/ 1 x))
3.0ms
(* x 1/12)

series10.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ 1/2 (+ (* x 1/12) (/ 1 x)))
4.0ms
(+ (* x 1/12) (/ 1 x))
2.0ms
(* x 1/12)

simplify47.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04846420
14846420

prune61.0ms

Filtered
36 candidates to 52 candidates (-44.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New52052
Fresh033
Picked011
Done011
Total52557

Merged error: 0.0b

Counts
57 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b
(/ 1.0 (exp x))
5.2b
(- 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:
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
4.0ms
(/ 1.0 (exp x))
7.0ms
(- 1 (/ 1.0 (exp x)))

series18.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
4.0ms
(/ 1.0 (exp x))
5.0ms
(- 1 (/ 1.0 (exp x)))

simplify70.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
048711130
148711130

prune95.0ms

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

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1050105
Fresh022
Picked011
Done022
Total1055110

Merged error: 0.0b

Counts
110 → 5

regimes94.0ms

Accuracy

0% (1.0b 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

sample847.0ms

Algorithm
intervals
Results
400.0ms2288×body1280valid
181.0ms1631×body640valid
65.0ms2848×body80valid
63.0ms822×body320valid
21.0ms411×body160valid
0.0ms1×body1280invalid
0.0ms1×body80overflowed

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