Details

Time bar (total: 11.2s)

sample80.0ms

Algorithm
intervals
Results
52.0ms182×body1280valid
8.0ms238×body80valid
5.0ms34×body640valid
2.0ms22×body320valid
1.0ms13×body160valid

simplify93.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1148
2268
3408
4498
5548
6638
7808
8958
91038
101118
done1118

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
4.8b
(+ (- (exp x) 2.0) (exp (- x)))

rewrite68.0ms

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)
55.0ms
(+ (- (exp x) 2.0) (exp (- x)))

series74.0ms

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

simplify1.6s

Counts
71 → 71
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0124914
1274729
2709628
33051557
done5000554

prune154.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
7×add-exp-log associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube
3×associate-*l* prod-exp unswap-sqr
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
1×pow-to-exp pow-exp *-commutative cbrt-unprod fma-udef
Counts
2 → 37
Calls
2 calls:
0.0ms
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
12.0ms
(* 1/12 (pow x 4))

series176.0ms

Counts
2 → 6
Calls
2 calls:
138.0ms
(fma 1/360 (pow x 6) (* 1/12 (pow x 4)))
39.0ms
(* 1/12 (pow x 4))

simplify1.5s

Counts
43 → 43
Iterations

Useful iterations: 3 (403.0ms)

IterNodesCost
067403
1125371
2284345
3930342
done5000342

prune105.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (- (exp x) 2.0))
0.0b
(cbrt (- (exp x) 2.0))
0.0b
(cbrt (- (exp x) 2.0))
6.3b
(+ (* (* (cbrt (- (exp x) 2.0)) (cbrt (- (exp x) 2.0))) (cbrt (- (exp x) 2.0))) (exp (- x)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
114×cbrt-div
57×flip3-- flip--
56×frac-times
52×frac-add
28×associate-*l/
26×neg-sub0 exp-neg exp-diff
16×associate-*r/
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×add-log-exp
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×pow1/3 distribute-lft-out-- difference-of-squares
1×+-commutative fma-def flip3-+ sum-log flip-+
Counts
4 → 117
Calls
4 calls:
6.0ms
(cbrt (- (exp x) 2.0))
6.0ms
(cbrt (- (exp x) 2.0))
7.0ms
(cbrt (- (exp x) 2.0))
94.0ms
(+ (* (* (cbrt (- (exp x) 2.0)) (cbrt (- (exp x) 2.0))) (cbrt (- (exp x) 2.0))) (exp (- x)))

series451.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(cbrt (- (exp x) 2.0))
129.0ms
(cbrt (- (exp x) 2.0))
132.0ms
(cbrt (- (exp x) 2.0))
57.0ms
(+ (* (* (cbrt (- (exp x) 2.0)) (cbrt (- (exp x) 2.0))) (cbrt (- (exp x) 2.0))) (exp (- x)))

simplify1.8s

Counts
129 → 129
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02755260
16124636
213413937
336723894
done50003890

prune232.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (fma 2.0 (+ (exp x) 2.0) (exp (+ x x))))
1.0b
(cbrt (- (pow (exp x) 3) (pow 2.0 3)))
1.0b
(cbrt (- (pow (exp x) 3) (pow 2.0 3)))
60.3b
(fma (cbrt (fma 2.0 (+ (exp x) 2.0) (exp (+ x x)))) (cbrt (fma 2.0 (+ (exp x) 2.0) (exp (+ x x)))) (* (* (* (cbrt (- (pow (exp x) 3) (pow 2.0 3))) (cbrt (- (exp x) 2.0))) (cbrt (- (pow (exp x) 3) (pow 2.0 3)))) (exp x)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
53×cbrt-prod
32×difference-of-squares
27×*-un-lft-identity
24×unpow-prod-down cube-prod
16×sqr-pow
10×distribute-lft-out--
7×add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u cbrt-div add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×difference-cubes flip3-- flip--
1×fma-udef
Counts
4 → 97
Calls
4 calls:
1.0ms
(cbrt (fma 2.0 (+ (exp x) 2.0) (exp (+ x x))))
22.0ms
(cbrt (- (pow (exp x) 3) (pow 2.0 3)))
20.0ms
(cbrt (- (pow (exp x) 3) (pow 2.0 3)))
0.0ms
(fma (cbrt (fma 2.0 (+ (exp x) 2.0) (exp (+ x x)))) (cbrt (fma 2.0 (+ (exp x) 2.0) (exp (+ x x)))) (* (* (* (cbrt (- (pow (exp x) 3) (pow 2.0 3))) (cbrt (- (exp x) 2.0))) (cbrt (- (pow (exp x) 3) (pow 2.0 3)))) (exp x)))

series1.1s

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt (fma 2.0 (+ (exp x) 2.0) (exp (+ x x))))
171.0ms
(cbrt (- (pow (exp x) 3) (pow 2.0 3)))
162.0ms
(cbrt (- (pow (exp x) 3) (pow 2.0 3)))
606.0ms
(fma (cbrt (fma 2.0 (+ (exp x) 2.0) (exp (+ x x)))) (cbrt (fma 2.0 (+ (exp x) 2.0) (exp (+ x x)))) (* (* (* (cbrt (- (pow (exp x) 3) (pow 2.0 3))) (cbrt (- (exp x) 2.0))) (cbrt (- (pow (exp x) 3) (pow 2.0 3)))) (exp x)))

simplify695.0ms

Counts
109 → 109
Iterations

Useful iterations: done (690.0ms)

IterNodesCost
02132572
14822390
213542200
done50002170

prune466.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11113
done1113

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.6s5659×body1280valid
180.0ms1203×body640valid
167.0ms7943×body80valid
60.0ms659×body320valid
20.0ms309×body160valid