Details

Time bar (total: 23.7s)

sample145.0ms

Algorithm
intervals
Results
100.0ms184×body1280valid
13.0ms272×body80valid
10.0ms34×body640valid
5.0ms30×body320valid
1.0ms5×body160valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5000
102899
9809
8249
788
671
562
456
340
226
114
07

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
3.5b
(+ (- (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×neg-sub0 exp-neg expm1-log1p-u pow1 sum-log sub-neg add-cbrt-cube exp-diff diff-log add-exp-log log1p-expm1-u distribute-lft-out difference-of-squares
1×+-commutative flip3-+ associate-+l- flip-+
Counts
2 → 65
Calls
2 calls:
9.0ms
(- (exp x) 2.0)
57.0ms
(+ (- (exp x) 2.0) (exp (- x)))

series101.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(- (exp x) 2.0)
79.0ms
(+ (- (exp x) 2.0) (exp (- x)))

simplify1.1s

Counts
71 → 71
Iterations
IterNodes
done5001
21176
1297
0124

prune330.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (* x x) x) (* (* x x) x))
0.1b
(* (* x x) x)
0.1b
(* (* x x) x)
0.1b
(* (* x x) (* x x))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
695×pow1
326×pow-prod-up
221×pow-plus
120×pow-prod-down
112×pow-sqr
70×pow2
62×add-cbrt-cube add-exp-log
41×prod-exp cbrt-unprod
24×pow3
8×add-sqr-sqrt associate-*r*
6×*-un-lft-identity add-cube-cbrt
4×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
3×unswap-sqr
2×swap-sqr
Counts
4 → 318
Calls
4 calls:
148.0ms
(* (* (* x x) x) (* (* x x) x))
35.0ms
(* (* x x) x)
28.0ms
(* (* x x) x)
37.0ms
(* (* x x) (* x x))

series228.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (* (* x x) x) (* (* x x) x))
46.0ms
(* (* x x) x)
66.0ms
(* (* x x) x)
67.0ms
(* (* x x) (* x x))

simplify8.3s

Counts
330 → 330
Iterations
IterNodes
done5001
23493
1405
0113

prune444.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma (exp x) (- (exp (fma 2 x x)) (* 2.0 (* 2.0 2.0))) (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0)))) (* (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))) (exp x)))
0.0b
(* (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))) (exp x))
0.0b
(exp (fma 2 x x))
5.8b
(fma (exp x) (- (exp (fma 2 x x)) (* 2.0 (* 2.0 2.0))) (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cbrt-cube
9×*-un-lft-identity add-exp-log add-cube-cbrt
6×pow1
5×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×exp-prod times-frac associate-*r* associate-*l* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod fma-udef
1×clear-num associate-/r* frac-2neg exp-sum pow-prod-down *-commutative div-inv unswap-sqr rem-exp-log
Counts
4 → 67
Calls
4 calls:
14.0ms
(/ (fma (exp x) (- (exp (fma 2 x x)) (* 2.0 (* 2.0 2.0))) (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0)))) (* (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))) (exp x)))
17.0ms
(* (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))) (exp x))
3.0ms
(exp (fma 2 x x))
1.0ms
(fma (exp x) (- (exp (fma 2 x x)) (* 2.0 (* 2.0 2.0))) (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))))

series872.0ms

Counts
4 → 12
Calls
4 calls:
564.0ms
(/ (fma (exp x) (- (exp (fma 2 x x)) (* 2.0 (* 2.0 2.0))) (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0)))) (* (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))) (exp x)))
82.0ms
(* (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))) (exp x))
21.0ms
(exp (fma 2 x x))
205.0ms
(fma (exp x) (- (exp (fma 2 x x)) (* 2.0 (* 2.0 2.0))) (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))))

simplify1.5s

Counts
79 → 79
Iterations
IterNodes
done5000
21265
1312
0142

prune535.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))) (exp x))
0.0b
(exp (* x 3))
5.8b
(fma (- (exp (* x 3)) (* 2.0 (* 2.0 2.0))) (exp x) (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))))
5.9b
(log (exp (fma (- (exp (* x 3)) (* 2.0 (* 2.0 2.0))) (exp x) (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×pow1
6×add-cbrt-cube add-log-exp
5×add-exp-log
4×expm1-log1p-u log-prod exp-prod log-pow log1p-expm1-u
3×associate-*r* associate-*l*
2×fma-udef
1×exp-lft-cube exp-to-pow rem-log-exp exp-sum pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr rem-exp-log
Counts
4 → 61
Calls
4 calls:
15.0ms
(* (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))) (exp x))
3.0ms
(exp (* x 3))
0.0ms
(fma (- (exp (* x 3)) (* 2.0 (* 2.0 2.0))) (exp x) (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))))
2.0ms
(log (exp (fma (- (exp (* x 3)) (* 2.0 (* 2.0 2.0))) (exp x) (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))))))

series402.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(* (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))) (exp x))
7.0ms
(exp (* x 3))
137.0ms
(fma (- (exp (* x 3)) (* 2.0 (* 2.0 2.0))) (exp x) (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))))
176.0ms
(log (exp (fma (- (exp (* x 3)) (* 2.0 (* 2.0 2.0))) (exp x) (fma (exp x) (exp x) (* 2.0 (+ (exp x) 2.0))))))

simplify1.3s

Counts
73 → 73
Iterations
IterNodes
done5000
2896
1244
0124

prune485.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes29.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample4.8s

Algorithm
intervals
Results
3.6s5680×body1280valid
370.0ms1235×body640valid
369.0ms7954×body80valid
102.0ms616×body320valid
73.0ms313×body160valid