Details

Time bar (total: 2.6s)

analyze322.0ms

Algorithm
search

sample36.0ms

Algorithm
intervals
Results
13.0ms67×body1280valid
12.0ms65×body640valid
2.0ms29×body320valid
2.0ms84×body80valid
1.0ms11×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
184
284

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 43.2b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (exp x) (- (exp x) 1.0))
3.9b
(- (exp x) 1.0)

rewrite11.0ms

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 → 51
Calls
2 calls:
6.0ms
(/ (exp x) (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)

series9.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (exp x) (- (exp x) 1.0))
3.0ms
(- (exp x) 1.0)

simplify67.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0180378
1542357
22174354
35003354

prune78.0ms

Filtered
41 candidates to 57 candidates (-39.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New53457
Fresh000
Picked101
Done000
Total54458

Merged error: 0.0b

Counts
58 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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:
5.0ms
(+ (* 1/12 x) (/ 1 x))
7.0ms
(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
3.0ms
(* 1/12 x)

series8.0ms

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

simplify102.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0200216
1705204
23820203
35002203

prune59.0ms

Filtered
34 candidates to 52 candidates (-52.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New51152
Fresh033
Picked011
Done000
Total51556

Merged error: 0.0b

Counts
56 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (neg (/ 1 x)) x)
0.2b
(* 1/144 (* x x))
0.3b
(* 1/12 x)
28.2b
(/ (+ (/ (neg (/ 1 x)) x) (* 1/144 (* x x))) (- (* 1/12 x) (/ 1 x)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
171×times-frac
109×add-sqr-sqrt
106×add-cube-cbrt *-un-lft-identity
52×distribute-lft-neg-in distribute-rgt-neg-in
33×associate-/l*
15×add-exp-log add-cbrt-cube
11×pow1
10×div-inv
6×associate-*l* associate-/r*
4×neg-mul-1 associate-*r* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×div-sub associate-/l/
2×cbrt-undiv neg-sub0 frac-2neg div-exp clear-num associate-/r/ *-commutative unswap-sqr
1×associate-+l- flip3-- flip3-+ distribute-frac-neg flip-- flip-+ distribute-neg-frac
Counts
4 → 207
Calls
4 calls:
8.0ms
(/ (neg (/ 1 x)) x)
5.0ms
(* 1/144 (* x x))
3.0ms
(* 1/12 x)
31.0ms
(/ (+ (/ (neg (/ 1 x)) x) (* 1/144 (* x x))) (- (* 1/12 x) (/ 1 x)))

series19.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (neg (/ 1 x)) x)
3.0ms
(* 1/144 (* x x))
2.0ms
(* 1/12 x)
12.0ms
(/ (+ (/ (neg (/ 1 x)) x) (* 1/144 (* x x))) (- (* 1/12 x) (/ 1 x)))

simplify76.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
07931693
129001369
250011333

prune252.0ms

Filtered
129 candidates to 219 candidates (-69.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2190219
Fresh033
Picked011
Done011
Total2195224

Merged error: 0.0b

Counts
224 → 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))
3.9b
(- 1 (/ 1.0 (exp x)))

rewrite22.0ms

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 → 97
Calls
3 calls:
8.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
4.0ms
(/ 1.0 (exp x))
7.0ms
(- 1 (/ 1.0 (exp x)))

series21.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
4.0ms
(/ 1.0 (exp x))
6.0ms
(- 1 (/ 1.0 (exp x)))

simplify39.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0310722
11324620
25001618

prune85.0ms

Filtered
60 candidates to 106 candidates (-76.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1051106
Fresh022
Picked101
Done022
Total1065111

Merged error: 0b

Counts
111 → 5

regimes103.0ms

Accuracy

97.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211
12211

end0.0ms

analyze315.0ms

Algorithm
search

sample864.0ms

Algorithm
intervals
Results
413.0ms2299×body1280valid
183.0ms1639×body640valid
70.0ms2860×body80valid
60.0ms794×body320valid
21.0ms408×body160valid
0.0ms1×body1280invalid

Profiling

Loading profile data...