Details

Time bar (total: 3.5s)

sample36.0ms

Algorithm
intervals
Results
14.0ms53×body1280valid
5.0ms37×body640valid
3.0ms126×body80valid
3.0ms31×body320valid
1.0ms9×body160valid

simplify63.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2315
3545
41195
53335
616465
750015
done50015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.8b
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
95×*-un-lft-identity
66×add-sqr-sqrt
61×add-cube-cbrt times-frac
54×prod-diff
18×fma-neg
16×distribute-lft-out
10×associate-/r/
5×flip3-+ flip-+ div-inv
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- distribute-lft-out--
Counts
2 → 124
Calls
2 calls:
14.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
82.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series120.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
79.0ms
(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify46.0ms

Counts
130 → 130
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03761556
111701155
250011121
done50011121

prune201.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
2.8b
(- (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 1.0)

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
95×*-un-lft-identity
66×add-sqr-sqrt
61×add-cube-cbrt times-frac
54×prod-diff
18×fma-neg
16×distribute-lft-out
10×associate-/r/
5×flip3-+ flip-+ div-inv
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- distribute-lft-out--
Counts
2 → 124
Calls
2 calls:
16.0ms
(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
101.0ms
(- (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 1.0)

series116.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ 2.0 (+ (exp (* -2.0 x)) 1.0))
79.0ms
(- (/ 2.0 (+ (exp (* -2.0 x)) 1.0)) 1.0)

simplify47.0ms

Counts
130 → 130
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03721556
111471158
250011119
done50011119

prune186.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (exp (* -2.0 x)) 1.0))
0.5b
(/ 1 (sqrt (+ (exp (* -2.0 x)) 1.0)))
0.5b
(/ 2.0 (sqrt (+ (exp (* -2.0 x)) 1.0)))
30.7b
(fma (/ 1 (sqrt (+ (exp (* -2.0 x)) 1.0))) (/ 2.0 (sqrt (+ (exp (* -2.0 x)) 1.0))) (- 1.0))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity
42×times-frac
40×add-sqr-sqrt
37×add-cube-cbrt
36×sqrt-prod
14×associate-/r*
10×add-exp-log
9×distribute-lft-out
8×add-cbrt-cube
7×pow1
6×sqrt-div associate-/l*
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow-flip flip3-+ div-exp flip-+
2×cbrt-undiv frac-2neg sqrt-pow1 pow1/2 clear-num div-inv
1×rem-sqrt-square rec-exp 1-exp fma-udef hypot-def inv-pow
Counts
4 → 129
Calls
4 calls:
13.0ms
(sqrt (+ (exp (* -2.0 x)) 1.0))
22.0ms
(/ 1 (sqrt (+ (exp (* -2.0 x)) 1.0)))
17.0ms
(/ 2.0 (sqrt (+ (exp (* -2.0 x)) 1.0)))
0.0ms
(fma (/ 1 (sqrt (+ (exp (* -2.0 x)) 1.0))) (/ 2.0 (sqrt (+ (exp (* -2.0 x)) 1.0))) (- 1.0))

series369.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(sqrt (+ (exp (* -2.0 x)) 1.0))
46.0ms
(/ 1 (sqrt (+ (exp (* -2.0 x)) 1.0)))
68.0ms
(/ 2.0 (sqrt (+ (exp (* -2.0 x)) 1.0)))
211.0ms
(fma (/ 1 (sqrt (+ (exp (* -2.0 x)) 1.0))) (/ 2.0 (sqrt (+ (exp (* -2.0 x)) 1.0))) (- 1.0))

simplify43.0ms

Counts
141 → 141
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03801270
113301133
250011081
done50011081

prune291.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1.0 x (- (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))))
0.1b
(* 0.33333333333333337 (pow x 3))
9.2b
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×associate-*r*
8×add-exp-log
7×add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×unpow-prod-down cube-prod unswap-sqr
3×pow1 expm1-log1p-u associate-*l* prod-exp log1p-expm1-u add-log-exp
2×fma-udef sqr-pow
1×cube-mult pow-to-exp unpow3 pow-exp *-commutative cbrt-unprod
Counts
3 → 53
Calls
3 calls:
0.0ms
(fma 1.0 x (- (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))))
15.0ms
(* 0.33333333333333337 (pow x 3))
0.0ms
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

series188.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(fma 1.0 x (- (fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))))
38.0ms
(* 0.33333333333333337 (pow x 3))
100.0ms
(fma 5.551115123125783e-17 (pow x 4) (* 0.33333333333333337 (pow x 3)))

simplify198.0ms

Counts
62 → 62
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0170298
1655262
24021262
35002262
done5002262

prune150.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

99.4% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 29.0b

bsearch2.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03113
13113
done3113

end0.0ms

sample923.0ms

Algorithm
intervals
Results
352.0ms1659×body1280valid
181.0ms1275×body640valid
110.0ms4134×body80valid
57.0ms621×body320valid
18.0ms311×body160valid