Details

Time bar (total: 2.4s)

analyze309.0ms

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
12.0ms69×body1280valid
6.0ms61×body640valid
2.0ms90×body80valid
1.0ms18×body320valid
1.0ms18×body160valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049997
149997

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 41.5b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (exp x) (- (exp x) 1.0))
4.5b
(- (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))
3.0ms
(- (exp x) 1.0)

simplify60.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05019574

prune75.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New53356
Fresh000
Picked101
Done000
Total54357

Merged error: 0.0b

Counts
57 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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

prune44.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New33235
Fresh022
Picked011
Done000
Total33538

Merged error: 0.0b

Counts
38 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b
(/ 1.0 (exp x))
4.5b
(- 1 (/ 1.0 (exp x)))

rewrite24.0ms

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))
6.0ms
(- 1 (/ 1.0 (exp x)))

series19.0ms

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

simplify70.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
048711130
148711130

prune100.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh033
Picked011
Done011
Total1055110

Merged error: 0.0b

Counts
110 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) 2)
0.5b
(/ (exp x) (/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0)))
0.7b
(/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0))
4.4b
(- (pow (exp x) 2) (* 1.0 1.0))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
242×times-frac
175×*-un-lft-identity
147×add-sqr-sqrt
103×add-cube-cbrt
88×difference-of-squares
38×associate-/r*
36×distribute-lft-out
25×unpow-prod-down
23×unpow2 sqr-pow
11×associate-/r/ add-cbrt-cube
10×associate-/l*
9×add-exp-log
6×div-inv add-log-exp
5×pow1 flip3-+ flip-+
4×cbrt-undiv pow-pow div-exp
3×pow-unpow exp-prod
2×flip3-- frac-2neg clear-num flip-- associate-/l/
1×pow-to-exp sub-neg diff-log div-sub pow-exp
Counts
4 → 246
Calls
4 calls:
3.0ms
(pow (exp x) 2)
14.0ms
(/ (exp x) (/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0)))
10.0ms
(/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0))
5.0ms
(- (pow (exp x) 2) (* 1.0 1.0))

series33.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(pow (exp x) 2)
17.0ms
(/ (exp x) (/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0)))
9.0ms
(/ (- (pow (exp x) 2) (* 1.0 1.0)) (+ (exp x) 1.0))
4.0ms
(- (pow (exp x) 2) (* 1.0 1.0))

simplify95.0ms

Algorithm
egg-herbie
Counts
258 → 258
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049995133
149995133

prune335.0ms

Filtered
167 candidates to 258 candidates (-54.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2571258
Fresh022
Picked101
Done022
Total2585263

Merged error: 0.0b

Counts
263 → 5

regimes102.0ms

Accuracy

96.4% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 21.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03622
13622

end0.0ms

sample849.0ms

Algorithm
intervals
Results
405.0ms2279×body1280valid
178.0ms1623×body640valid
66.0ms2869×body80valid
60.0ms821×body320valid
21.0ms408×body160valid
0.0ms2×body1280invalid

Profiling

Loading profile data...