Details

Time bar (total: 17.7s)

sample67.0ms

Algorithm
intervals
Results
24.0ms57×body1280valid
13.0ms39×body640valid
8.0ms130×body80valid
3.0ms13×body320valid
2.0ms17×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: 29.3b

localize14.0ms

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)))
4.3b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite133.0ms

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:
24.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
8.0ms
(+ 1.0 (exp (* -2.0 x)))
93.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series214.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
18.0ms
(+ 1.0 (exp (* -2.0 x)))
129.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.7s

Counts
150 → 150
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01803092
14002501
28582219
324111982
done50011796

prune351.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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)))
0.1b
(log1p (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
4.3b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
100×*-un-lft-identity
69×add-sqr-sqrt
64×add-cube-cbrt
61×times-frac
54×prod-diff
18×fma-neg
17×distribute-lft-out
10×associate-/r/
8×add-log-exp
6×add-exp-log flip3-+ add-cbrt-cube flip-+
5×expm1-log1p-u div-inv
4×pow1 associate-/r* log1p-expm1-u
3×fma-def associate-/l*
2×difference-of-squares
1×cbrt-undiv +-commutative sub-neg log1p-udef flip3-- frac-2neg diff-log log1p-expm1 div-exp clear-num sum-log flip-- distribute-lft-out--
Counts
4 → 152
Calls
4 calls:
30.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
15.0ms
(+ 1.0 (exp (* -2.0 x)))
1.0ms
(log1p (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
122.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series573.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
30.0ms
(+ 1.0 (exp (* -2.0 x)))
321.0ms
(log1p (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
148.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.8s

Counts
164 → 164
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01973281
14312687
29222383
325712036
done50011958

prune503.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))
7.2b
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

rewrite24.0ms

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:
9.0ms
(- (* 1.0 x) (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3))))
13.0ms
(* 0.33333333333333337 (pow x 3))
0.0ms
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

series267.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- (* 1.0 x) (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3))))
47.0ms
(* 0.33333333333333337 (pow x 3))
147.0ms
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

simplify4.2s

Counts
71 → 71
Iterations

Useful iterations: done (4.2s)

IterNodesCost
01121058
1246875
2755818
33941781
done5000780

prune276.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(expm1 (fma (pow x 4) 0.08333333333333327 (* x (- 1.0 (* 0.5 x)))))
0.0b
(* x (- 1.0 (* 0.5 x)))
13.4b
(fma (pow x 4) 0.08333333333333327 (* x (- 1.0 (* 0.5 x))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×prod-diff
5×pow1 add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
4×log1p-expm1-u
3×expm1-log1p-u associate-*r* associate-*l* add-log-exp
2×sub-neg associate-*r/
1×expm1-log1p flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef expm1-udef unswap-sqr
Counts
3 → 53
Calls
3 calls:
0.0ms
(expm1 (fma (pow x 4) 0.08333333333333327 (* x (- 1.0 (* 0.5 x)))))
25.0ms
(* x (- 1.0 (* 0.5 x)))
1.0ms
(fma (pow x 4) 0.08333333333333327 (* x (- 1.0 (* 0.5 x))))

series269.0ms

Counts
3 → 9
Calls
3 calls:
112.0ms
(expm1 (fma (pow x 4) 0.08333333333333327 (* x (- 1.0 (* 0.5 x)))))
79.0ms
(* x (- 1.0 (* 0.5 x)))
77.0ms
(fma (pow x 4) 0.08333333333333327 (* x (- 1.0 (* 0.5 x))))

simplify1.7s

Counts
62 → 62
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0105843
1209828
2542722
32000713
done5000677

prune167.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes1.0ms