Details

Time bar (total: 4.2s)

sample79.0ms

Algorithm
intervals
Results
52.0ms178×body1280valid
6.0ms263×body80valid
5.0ms36×body640valid
2.0ms22×body320valid
1.0ms13×body160valid

simplify225.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1265
2415
3555
4675
51045
61615
73445
814545
950015
done50015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
4.1b
(+ (- (exp x) 2.0) (exp (- x)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
20×add-sqr-sqrt
18×prod-diff
16×add-cube-cbrt
11×associate-+l+
9×add-log-exp
5×fma-def
4×frac-add
3×flip3-- fma-neg flip-- distribute-lft-out--
2×pow1 add-exp-log neg-sub0 exp-neg expm1-log1p-u sub-neg exp-diff diff-log sum-log add-cbrt-cube log1p-expm1-u distribute-lft-out difference-of-squares
1×+-commutative associate-+l- flip3-+ flip-+
Counts
2 → 65
Calls
2 calls:
11.0ms
(- (exp x) 2.0)
54.0ms
(+ (- (exp x) 2.0) (exp (- x)))

series73.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(- (exp x) 2.0)
60.0ms
(+ (- (exp x) 2.0) (exp (- x)))

simplify34.0ms

Counts
71 → 71
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0282506
11008381
25001367
done5001367

prune168.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x x (fma 1/360 (pow x 6) (* 1/12 (pow x 4))))
0.0b
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
0.1b
(* 1/12 (pow x 4))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×add-exp-log
7×associate-*r*
6×add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×unpow-prod-down
3×pow1 expm1-log1p-u associate-*l* prod-exp log1p-expm1-u add-log-exp unswap-sqr
2×fma-udef sqr-pow
1×pow-to-exp pow-exp *-commutative cbrt-unprod
Counts
3 → 47
Calls
3 calls:
0.0ms
(fma x x (fma 1/360 (pow x 6) (* 1/12 (pow x 4))))
0.0ms
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
11.0ms
(* 1/12 (pow x 4))

series235.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(fma x x (fma 1/360 (pow x 6) (* 1/12 (pow x 4))))
129.0ms
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
43.0ms
(* 1/12 (pow x 4))

simplify99.0ms

Counts
56 → 56
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0143265
1544240
22626237
35001237
done5001237

prune146.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (exp x) (fma 2.0 2.0 (* (exp x) 2.0)) (pow (exp x) 3))
0.1b
(pow (exp x) 3)
0.1b
(pow (exp x) 3)
6.2b
(fma (exp x) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×pow-pow
6×pow1 unpow-prod-down pow-unpow exp-prod cube-prod add-cbrt-cube
4×add-exp-log expm1-log1p-u log1p-expm1-u add-log-exp
2×cube-mult pow-to-exp unpow3 pow-exp fma-udef rem-cube-cbrt sqr-pow
Counts
4 → 76
Calls
4 calls:
0.0ms
(fma (exp x) (fma 2.0 2.0 (* (exp x) 2.0)) (pow (exp x) 3))
4.0ms
(pow (exp x) 3)
4.0ms
(pow (exp x) 3)
0.0ms
(fma (exp x) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x))))

series288.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(fma (exp x) (fma 2.0 2.0 (* (exp x) 2.0)) (pow (exp x) 3))
34.0ms
(pow (exp x) 3)
32.0ms
(pow (exp x) 3)
126.0ms
(fma (exp x) (- (pow (exp x) 3) (pow 2.0 3)) (fma 2.0 (+ (exp x) 2.0) (exp (+ x x))))

simplify41.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0228446
1940404
25001393
done5001393

prune304.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115
done115

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.6s5652×body1280valid
191.0ms1270×body640valid
181.0ms8299×body80valid
54.0ms619×body320valid
16.0ms285×body160valid