Details

Time bar (total: 19.6s)

sample63.0ms

Algorithm
intervals
Results
23.0ms39×body640valid
17.0ms57×body1280valid
6.0ms130×body80valid
2.0ms13×body320valid
2.0ms17×body160valid

simplify3.5s

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

localize24.0ms

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)

rewrite186.0ms

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:
23.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
8.0ms
(+ 1.0 (exp (* -2.0 x)))
141.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series229.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
29.0ms
(+ 1.0 (exp (* -2.0 x)))
148.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.6s

Counts
150 → 150
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01803092
14002501
28582219
324111982
done50011796

prune339.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)

rewrite162.0ms

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:
28.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
8.0ms
(+ 1.0 (exp (* -2.0 x)))
1.0ms
(log1p (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
117.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series460.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
28.0ms
(+ 1.0 (exp (* -2.0 x)))
248.0ms
(log1p (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))
110.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify2.6s

Counts
164 → 164
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01973281
14312687
29222383
325712036
done50011958

prune518.0ms

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)))

rewrite38.0ms

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:
18.0ms
(- (* 1.0 x) (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3))))
16.0ms
(* 0.33333333333333337 (pow x 3))
0.0ms
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

series289.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(- (* 1.0 x) (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3))))
49.0ms
(* 0.33333333333333337 (pow x 3))
169.0ms
(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

prune225.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

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))))

rewrite37.0ms

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:
1.0ms
(expm1 (fma (pow x 4) 0.08333333333333327 (* x (- 1.0 (* 0.5 x)))))
33.0ms
(* x (- 1.0 (* 0.5 x)))
1.0ms
(fma (pow x 4) 0.08333333333333327 (* x (- 1.0 (* 0.5 x))))

series281.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(expm1 (fma (pow x 4) 0.08333333333333327 (* x (- 1.0 (* 0.5 x)))))
96.0ms
(* x (- 1.0 (* 0.5 x)))
77.0ms
(fma (pow x 4) 0.08333333333333327 (* x (- 1.0 (* 0.5 x))))

simplify1.6s

Counts
62 → 62
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0105843
1209828
2542722
32000713
done5000677

prune205.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes328.0ms

Accuracy

95.8% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 29.6b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02750
13439
done3439

end0.0ms

sample2.3s

Algorithm
intervals
Results
796.0ms1726×body1280valid
783.0ms1263×body640valid
207.0ms4060×body80valid
160.0ms641×body320valid
36.0ms310×body160valid