Details

Time bar (total: 4.7s)

sample32.0ms

Algorithm
intervals
Results
12.0ms57×body1280valid
5.0ms36×body640valid
3.0ms128×body80valid
2.0ms25×body320valid
1.0ms10×body160valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2305
3525
41145
53225
616275
750025

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.6b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
16×add-sqr-sqrt
13×times-frac
11×add-cube-cbrt
4×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out add-log-exp
3×associate-/l*
2×pow1 associate-/r/ difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num flip-- flip-+ div-inv distribute-lft-out--
Counts
2 → 48
Calls
2 calls:
5.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
11.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series114.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
78.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify57.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0220413
1613391
22032387
35001387

prune127.0ms

Filtered
54 candidates to 40 candidates (74.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b
(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
2.6b
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
116×*-un-lft-identity
88×times-frac
70×add-sqr-sqrt
58×add-cube-cbrt
26×distribute-lft-out
24×swap-sqr
20×add-exp-log add-cbrt-cube
18×associate-*r* associate-*l*
12×associate-/r/
11×pow1
8×associate-/r*
6×cbrt-undiv flip3-+ div-exp flip-+ div-inv associate-/l* add-log-exp
4×prod-exp cbrt-unprod unswap-sqr
2×frac-2neg clear-num
1×pow2 frac-times sub-neg flip3-- pow-plus diff-log associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up flip-- difference-of-squares
Counts
4 → 167
Calls
4 calls:
5.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
5.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
19.0ms
(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
12.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

series202.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
35.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
45.0ms
(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
84.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

simplify77.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05511906
126101649
250011585

prune382.0ms

Filtered
179 candidates to 115 candidates (64.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
0.0b
(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))))
0.5b
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
2.6b
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))) (* 1.0 1.0))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
753×times-frac
563×*-un-lft-identity
426×sqrt-prod
404×add-sqr-sqrt
349×add-cube-cbrt
195×associate-*r*
107×distribute-lft-out
38×associate-/r/
36×sqrt-div
32×add-exp-log add-cbrt-cube
30×associate-/l*
19×flip3-+ flip-+ div-inv
18×associate-*l*
14×associate-/r* unswap-sqr
13×cbrt-undiv div-exp
6×pow1 prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num
1×frac-times sub-neg flip3-- diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- associate-/l/
Counts
4 → 548
Calls
4 calls:
18.0ms
(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
95.0ms
(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))))
7.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
28.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))) (* 1.0 1.0))

series238.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))
43.0ms
(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x))))))
69.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
88.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))) (* 1.0 1.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
560 → 560
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
015509686
150018436

prune992.0ms

Filtered
560 candidates to 250 candidates (44.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
2.6b
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))) (* 1.0 1.0))
2.6b
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))) (* 1.0 1.0))
2.6b
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))) (* 1.0 1.0))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
21×times-frac
20×add-sqr-sqrt add-cube-cbrt
16×sqrt-prod
10×add-log-exp
7×associate-/r*
6×add-exp-log add-cbrt-cube
4×pow1 distribute-lft-out
3×sub-neg flip3-- diff-log flip-- associate-/l*
2×sqrt-div associate-/r/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 81
Calls
4 calls:
7.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
28.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))) (* 1.0 1.0))
29.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))) (* 1.0 1.0))
31.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))) (* 1.0 1.0))

series322.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
87.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))) (* 1.0 1.0))
85.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))) (* 1.0 1.0))
84.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (sqrt (+ 1.0 (exp (* -2.0 x)))))) (* 1.0 1.0))

simplify123.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
02851495
19201227
242631083
350021083

prune328.0ms

Filtered
93 candidates to 66 candidates (71.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes205.0ms

Accuracy

98.7% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 29.8b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05599
15599

end0.0ms

sample870.0ms

Algorithm
intervals
Results
364.0ms1711×body1280valid
180.0ms1249×body640valid
110.0ms4105×body80valid
59.0ms642×body320valid
17.0ms293×body160valid