Details

Time bar (total: 17.7s)

sample50.0ms

Algorithm
intervals
Results
14.0ms45×body1280valid
9.0ms46×body640valid
6.0ms134×body80valid
3.0ms21×body320valid
1.0ms10×body160valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11510
22210
33010
45310
511710
644010
7351010
done500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b
(+ 1.0 (exp (* -2.0 x)))
3.1b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite103.0ms

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-cbrt-cube add-exp-log distribute-lft-out
4×associate-/r*
3×pow1 associate-/l*
2×flip3-+ associate-/r/ flip-+ difference-of-squares
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log div-exp div-inv flip-- distribute-lft-out--
Counts
3 → 60
Calls
3 calls:
11.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
6.0ms
(+ 1.0 (exp (* -2.0 x)))
84.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series201.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
25.0ms
(+ 1.0 (exp (* -2.0 x)))
127.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.1s

Counts
69 → 69
Iterations

Useful iterations: 3 (957.0ms)

IterNodesCost
0116947
1261903
2927849
34650838
done5001838

prune306.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
0.0b
(+ 1.0 (exp (* -2.0 x)))
3.0b
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
3.1b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
25×add-sqr-sqrt
15×add-cube-cbrt
14×times-frac
8×add-log-exp
7×log-pow
6×exp-prod add-cbrt-cube add-exp-log
5×pow1 log-prod distribute-lft-out
4×associate-/r* difference-of-squares
3×associate-/l*
2×sub-neg flip3-+ exp-sum associate-/r/ flip-+ distribute-lft-out--
1×cbrt-undiv +-commutative log-div clear-num sum-log frac-2neg flip3-- exp-diff diff-log div-exp rem-log-exp div-inv flip--
Counts
4 → 81
Calls
4 calls:
13.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
5.0ms
(+ 1.0 (exp (* -2.0 x)))
149.0ms
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
57.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series339.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
28.0ms
(+ 1.0 (exp (* -2.0 x)))
145.0ms
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
116.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.1s

Counts
93 → 93
Iterations

Useful iterations: 3 (968.0ms)

IterNodesCost
01451321
13191228
29861137
348821128
done50001128

prune415.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 0.33333333333333337 (pow x 3))
0.4b
(* 5.551115123125783e-17 (pow x 4))
8.0b
(+ (* 0.33333333333333337 (pow x 3)) (* 5.551115123125783e-17 (pow x 4)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×associate-*r*
13×add-exp-log
10×*-un-lft-identity add-cube-cbrt
8×unpow-prod-down
7×add-cbrt-cube unswap-sqr
6×associate-*l* prod-exp
5×add-log-exp
4×cube-prod sqr-pow
3×pow1
2×pow-to-exp pow-exp *-commutative cbrt-unprod
1×cube-mult +-commutative sum-log flip3-+ unpow3 flip-+
Counts
3 → 67
Calls
3 calls:
15.0ms
(* 0.33333333333333337 (pow x 3))
12.0ms
(* 5.551115123125783e-17 (pow x 4))
7.0ms
(+ (* 0.33333333333333337 (pow x 3)) (* 5.551115123125783e-17 (pow x 4)))

series267.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(* 0.33333333333333337 (pow x 3))
46.0ms
(* 5.551115123125783e-17 (pow x 4))
161.0ms
(+ (* 0.33333333333333337 (pow x 3)) (* 5.551115123125783e-17 (pow x 4)))

simplify884.0ms

Counts
76 → 76
Iterations

Useful iterations: 2 (260.0ms)

IterNodesCost
0113734
1290647
21113602
done5001602

prune338.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp (* -2.0 x)) 3)
3.0b
(log (exp (- (* (/ 2.0 (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3))) (+ (* 1.0 1.0) (- (* (exp (* -2.0 x)) (exp (* -2.0 x))) (* 1.0 (exp (* -2.0 x)))))) 1.0)))
3.1b
(- (* (exp (* -2.0 x)) (exp (* -2.0 x))) (* 1.0 (exp (* -2.0 x))))
3.1b
(- (* (/ 2.0 (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3))) (+ (* 1.0 1.0) (- (* (exp (* -2.0 x)) (exp (* -2.0 x))) (* 1.0 (exp (* -2.0 x)))))) 1.0)

rewrite311.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
7×log-prod
6×pow1
5×add-cbrt-cube
4×exp-prod exp-sum associate--l+ add-exp-log log-pow
3×pow-unpow sub-neg unpow-prod-down pow-pow cube-prod
2×distribute-rgt-in distribute-lft-in flip3-- diff-log flip--
1×cube-mult pow-to-exp log-div exp-to-pow distribute-rgt-out-- exp-diff unpow3 rem-log-exp pow-exp rem-cube-cbrt sqr-pow
Counts
4 → 72
Calls
4 calls:
6.0ms
(pow (exp (* -2.0 x)) 3)
214.0ms
(log (exp (- (* (/ 2.0 (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3))) (+ (* 1.0 1.0) (- (* (exp (* -2.0 x)) (exp (* -2.0 x))) (* 1.0 (exp (* -2.0 x)))))) 1.0)))
15.0ms
(- (* (exp (* -2.0 x)) (exp (* -2.0 x))) (* 1.0 (exp (* -2.0 x))))
72.0ms
(- (* (/ 2.0 (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3))) (+ (* 1.0 1.0) (- (* (exp (* -2.0 x)) (exp (* -2.0 x))) (* 1.0 (exp (* -2.0 x)))))) 1.0)

series1.5s

Counts
4 → 12
Calls
4 calls:
53.0ms
(pow (exp (* -2.0 x)) 3)
677.0ms
(log (exp (- (* (/ 2.0 (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3))) (+ (* 1.0 1.0) (- (* (exp (* -2.0 x)) (exp (* -2.0 x))) (* 1.0 (exp (* -2.0 x)))))) 1.0)))
110.0ms
(- (* (exp (* -2.0 x)) (exp (* -2.0 x))) (* 1.0 (exp (* -2.0 x))))
694.0ms
(- (* (/ 2.0 (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3))) (+ (* 1.0 1.0) (- (* (exp (* -2.0 x)) (exp (* -2.0 x))) (* 1.0 (exp (* -2.0 x)))))) 1.0)

simplify2.0s

Counts
84 → 84
Iterations

Useful iterations: 2 (425.0ms)

IterNodesCost
01622542
14802115
225321896
done50001896

prune539.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes528.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.6b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02851
13740
done3740

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.1s1768×body1280valid
397.0ms1235×body640valid
261.0ms4058×body80valid
147.0ms626×body320valid
41.0ms313×body160valid