Details

Time bar (total: 4.4s)

sample35.0ms

Algorithm
intervals
Results
11.0ms56×body1280valid
8.0ms36×body640valid
3.0ms133×body80valid
2.0ms19×body320valid
1.0ms12×body160valid

simplify57.0ms

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: 28.8b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (exp (* -2.0 x)))
0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.8b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
17×add-sqr-sqrt
13×times-frac
12×add-cube-cbrt
7×add-log-exp
5×add-exp-log add-cbrt-cube distribute-lft-out
4×associate-/r*
3×pow1 associate-/l*
2×flip3-+ associate-/r/ flip-+ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
3 → 60
Calls
3 calls:
3.0ms
(+ 1.0 (exp (* -2.0 x)))
6.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
31.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series132.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ 1.0 (exp (* -2.0 x)))
39.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
77.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify91.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0251494
1731465
22785460
35001460

prune158.0ms

Filtered
69 candidates to 50 candidates (72.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)))))
2.7b
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

rewrite65.0ms

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:
6.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
6.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
35.0ms
(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
10.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

series206.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
41.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
41.0ms
(* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x)))))
88.0ms
(- (* (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) (/ 2.0 (+ 1.0 (exp (* -2.0 x))))) (* 1.0 1.0))

simplify82.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05511906
126101649
250011585

prune401.0ms

Filtered
179 candidates to 115 candidates (64.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))))
0.1b
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 6)
2.7b
(- (cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 6)) (* 1.0 1.0))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
53×*-un-lft-identity
37×times-frac
36×add-sqr-sqrt
31×add-cube-cbrt
20×unpow-prod-down
11×add-exp-log distribute-lft-out
8×associate-/r* add-cbrt-cube
6×associate-/r/ associate-/l* add-log-exp
5×pow1 difference-of-squares
4×cbrt-prod
3×pow-unpow flip3-+ div-exp flip-+ div-inv
2×cbrt-undiv frac-2neg pow-exp clear-num sqr-pow
1×pow-to-exp sub-neg flip3-- pow-pow diff-log flip--
Counts
4 → 116
Calls
4 calls:
6.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
6.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
8.0ms
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 6)
85.0ms
(- (cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 6)) (* 1.0 1.0))

series422.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
35.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
67.0ms
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 6)
87.0ms
(- (cbrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 6)) (* 1.0 1.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04061100
114181042
250011011

prune349.0ms

Filtered
128 candidates to 89 candidates (69.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 6)))
0.1b
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 6)
0.1b
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 6)
2.8b
(- (cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 6))) 1.0)

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
56×unpow-prod-down
52×*-un-lft-identity
44×add-sqr-sqrt
37×times-frac
32×add-cube-cbrt
30×cbrt-prod
26×sqrt-prod
10×add-exp-log
9×distribute-lft-out
6×pow1 pow-unpow associate-/r/ add-log-exp difference-of-squares
4×pow-exp add-cbrt-cube sqr-pow
3×flip3-+ flip-+ div-inv
2×pow-to-exp pow-pow div-exp
1×sub-neg flip3-- pow1/3 diff-log flip-- distribute-lft-out--
Counts
4 → 118
Calls
4 calls:
9.0ms
(cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 6)))
8.0ms
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 6)
8.0ms
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 6)
96.0ms
(- (cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 6))) 1.0)

series244.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 6)))
65.0ms
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 6)
65.0ms
(pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 6)
78.0ms
(- (cbrt (sqrt (pow (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 6))) 1.0)

simplify100.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
04071469
110061432
233161404
350021391

prune449.0ms

Filtered
130 candidates to 86 candidates (66.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes343.0ms

Accuracy

99.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05557
15557

end0.0ms

sample896.0ms

Algorithm
intervals
Results
367.0ms1679×body1280valid
181.0ms1278×body640valid
113.0ms4070×body80valid
60.0ms634×body320valid
21.0ms339×body160valid