Details

Time bar (total: 13.1s)

sample35.0ms

Algorithm
intervals
Results
15.0ms70×body1280valid
7.0ms46×body640valid
3.0ms120×body80valid
1.0ms16×body320valid
0.0ms4×body160valid

simplify4.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0910
11510
22210
33110
45510
511410
627310
7115810
8406510
done500010

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.2b

localize7.0ms

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)))
1.2b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
99×*-un-lft-identity
68×add-sqr-sqrt
63×add-cube-cbrt
61×times-frac
54×prod-diff
18×fma-neg
17×distribute-lft-out
10×associate-/r/
7×add-log-exp
6×flip3-+ flip-+
5×add-exp-log add-cbrt-cube div-inv
4×associate-/r*
3×pow1 expm1-log1p-u fma-def log1p-expm1-u associate-/l*
2×difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp clear-num sum-log flip-- distribute-lft-out--
Counts
3 → 141
Calls
3 calls:
8.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.0ms
(+ 1.0 (exp (* -2.0 x)))
39.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series130.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
16.0ms
(+ 1.0 (exp (* -2.0 x)))
79.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify573.0ms

Counts
150 → 150
Iterations

Useful iterations: done (568.0ms)

IterNodesCost
01803092
14082501
212622165
done50012146

prune260.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 0.33333333333333337 (pow x 3))
9.4b
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
1×cube-mult pow-to-exp unpow3 pow-exp *-commutative cbrt-unprod fma-udef
Counts
2 → 43
Calls
2 calls:
6.0ms
(* 0.33333333333333337 (pow x 3))
0.0ms
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

series136.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* 0.33333333333333337 (pow x 3))
98.0ms
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

simplify3.3s

Counts
49 → 49
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
070445
1150409
2554369
33335369
done5001369

prune112.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))
1.1b
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
1.2b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
164×*-un-lft-identity
118×add-sqr-sqrt
108×add-cube-cbrt prod-diff
98×times-frac
59×log-prod
56×exp-sum
26×distribute-lft-out
18×fma-neg
16×associate-/r/
9×flip3-+ flip-+
8×div-inv add-log-exp
7×log-pow
6×add-exp-log exp-prod add-cbrt-cube
5×pow1
4×expm1-log1p-u associate-/r* log1p-expm1-u difference-of-squares
3×fma-def associate-/l*
2×sub-neg distribute-lft-out--
1×cbrt-undiv +-commutative log-div flip3-- frac-2neg exp-diff diff-log div-exp rem-log-exp clear-num sum-log flip--
Counts
4 → 218
Calls
4 calls:
6.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.0ms
(+ 1.0 (exp (* -2.0 x)))
83.0ms
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
42.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series216.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
16.0ms
(+ 1.0 (exp (* -2.0 x)))
80.0ms
(log (exp (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)))
80.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify630.0ms

Counts
230 → 230
Iterations

Useful iterations: done (621.0ms)

IterNodesCost
03075763
15524359
214753709
done50003685

prune377.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3)))
0.0b
(pow (exp (* -2.0 x)) 3)
1.6b
(- (* (exp (* -2.0 x)) (exp (* -2.0 x))) (* 1.0 (exp (* -2.0 x))))
1.7b
(fma (/ 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))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
27×times-frac
21×add-sqr-sqrt add-cube-cbrt
20×distribute-lft-out
19×unpow-prod-down cube-prod
9×associate-/r*
7×add-cbrt-cube add-log-exp
6×add-exp-log
5×pow1
4×expm1-log1p-u sum-cubes log1p-expm1-u
3×pow-unpow pow-pow associate-/l*
2×associate-/r/
1×cbrt-undiv cube-mult pow-to-exp sub-neg exp-prod flip3-- exp-to-pow distribute-rgt-out-- frac-2neg flip3-+ fma-neg diff-log unpow3 div-exp prod-diff pow-exp clear-num flip-- flip-+ fma-udef div-inv rem-cube-cbrt sqr-pow
Counts
4 → 109
Calls
4 calls:
28.0ms
(/ 2.0 (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3)))
2.0ms
(pow (exp (* -2.0 x)) 3)
6.0ms
(- (* (exp (* -2.0 x)) (exp (* -2.0 x))) (* 1.0 (exp (* -2.0 x))))
0.0ms
(fma (/ 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))

series440.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(/ 2.0 (+ (pow 1.0 3) (pow (exp (* -2.0 x)) 3)))
36.0ms
(pow (exp (* -2.0 x)) 3)
78.0ms
(- (* (exp (* -2.0 x)) (exp (* -2.0 x))) (* 1.0 (exp (* -2.0 x))))
247.0ms
(fma (/ 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))

simplify775.0ms

Counts
121 → 121
Iterations

Useful iterations: 2 (167.0ms)

IterNodesCost
01962363
14661978
219801822
done50001822

prune329.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes237.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 32.2b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03869
14469
done4469

end0.0ms

sample875.0ms

Algorithm
intervals
Results
370.0ms1738×body1280valid
175.0ms1231×body640valid
109.0ms4140×body80valid
54.0ms581×body320valid
18.0ms310×body160valid