Details

Time bar (total: 18.4s)

sample61.0ms

Algorithm
intervals
Results
22.0ms51×body1280valid
10.0ms35×body640valid
8.0ms149×body80valid
3.0ms18×body320valid
0.0ms3×body160valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11510
22210
33110
45510
512010
627810
781910
8301910
done500110

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.3b

localize13.0ms

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)))
1.4b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite168.0ms

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:
30.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
9.0ms
(+ 1.0 (exp (* -2.0 x)))
115.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series208.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
31.0ms
(+ 1.0 (exp (* -2.0 x)))
132.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify3.1s

Counts
150 → 150
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01803092
14002501
28582219
324111982
done50011796

prune407.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp (* -2.0 x)))
0.4b
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
0.4b
(/ 1 (sqrt (+ 1.0 (exp (* -2.0 x)))))
25.9b
(fma (/ 1 (sqrt (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (- 1.0))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
42×times-frac
37×add-sqr-sqrt add-cube-cbrt
32×sqrt-prod
14×associate-/r*
10×add-exp-log
9×distribute-lft-out
8×add-cbrt-cube
6×pow1 associate-/l* add-log-exp
4×expm1-log1p-u sqrt-div associate-/r/ log1p-expm1-u
3×pow-flip fma-def flip3-+ div-exp flip-+
2×cbrt-undiv frac-2neg clear-num div-inv
1×+-commutative rec-exp sqrt-pow1 pow1/2 1-exp sum-log fma-udef inv-pow
Counts
4 → 127
Calls
4 calls:
9.0ms
(+ 1.0 (exp (* -2.0 x)))
26.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
44.0ms
(/ 1 (sqrt (+ 1.0 (exp (* -2.0 x)))))
1.0ms
(fma (/ 1 (sqrt (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (- 1.0))

series551.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ 1.0 (exp (* -2.0 x)))
92.0ms
(/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x)))))
72.0ms
(/ 1 (sqrt (+ 1.0 (exp (* -2.0 x)))))
356.0ms
(fma (/ 1 (sqrt (+ 1.0 (exp (* -2.0 x))))) (/ 2.0 (sqrt (+ 1.0 (exp (* -2.0 x))))) (- 1.0))

simplify1.6s

Counts
139 → 139
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01952140
13791906
28361665
321671663
done50001654

prune445.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sqrt 2.0) (+ 1.0 (exp (* -2.0 x))))
0.0b
(+ 1.0 (exp (* -2.0 x)))
26.1b
(fma (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ 1.0 (exp (* -2.0 x)))) (- 1.0))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
24×times-frac
21×add-sqr-sqrt add-cube-cbrt
15×sqrt-prod
8×distribute-lft-out
6×associate-/l*
5×add-exp-log add-cbrt-cube add-log-exp
4×associate-/r*
3×pow1 expm1-log1p-u fma-def log1p-expm1-u
2×flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log fma-udef div-inv
Counts
3 → 77
Calls
3 calls:
41.0ms
(/ (sqrt 2.0) (+ 1.0 (exp (* -2.0 x))))
15.0ms
(+ 1.0 (exp (* -2.0 x)))
1.0ms
(fma (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ 1.0 (exp (* -2.0 x)))) (- 1.0))

series326.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(/ (sqrt 2.0) (+ 1.0 (exp (* -2.0 x))))
22.0ms
(+ 1.0 (exp (* -2.0 x)))
217.0ms
(fma (/ (sqrt 2.0) 1) (/ (sqrt 2.0) (+ 1.0 (exp (* -2.0 x)))) (- 1.0))

simplify1.6s

Counts
86 → 86
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01321290
12721129
26561064
318021060
done50011056

prune310.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 1.0 x) (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3))))
0.1b
(* 0.33333333333333337 (pow x 3))
9.3b
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×associate-*r*
8×add-exp-log add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube add-log-exp
4×unpow-prod-down cube-prod unswap-sqr
3×pow1 expm1-log1p-u associate-*l* prod-diff prod-exp log1p-expm1-u
2×fma-udef sqr-pow
1×cube-mult pow-to-exp sub-neg flip3-- fma-neg diff-log unpow3 pow-exp *-commutative flip-- cbrt-unprod associate--r+
Counts
3 → 62
Calls
3 calls:
17.0ms
(- (* 1.0 x) (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3))))
25.0ms
(* 0.33333333333333337 (pow x 3))
0.0ms
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

series272.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(- (* 1.0 x) (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3))))
51.0ms
(* 0.33333333333333337 (pow x 3))
158.0ms
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

simplify3.5s

Counts
71 → 71
Iterations

Useful iterations: done (3.5s)

IterNodesCost
01121058
1246875
2755818
33941781
done5000780

prune210.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes256.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.9b

bsearch2.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
03363
13961
done3961

end0.0ms

sample1.9s

Algorithm
intervals
Results
675.0ms1227×body640valid
588.0ms1690×body1280valid
172.0ms4088×body80valid
128.0ms666×body320valid
29.0ms329×body160valid