Details

Time bar (total: 11.6s)

sample109.0ms

Algorithm
intervals
Results
45.0ms107×body1280valid
25.0ms88×body640valid
11.0ms266×body80valid
6.0ms35×body320valid
2.0ms21×body160valid

simplify21.0ms

Counts
1 → 1
Iterations
IterNodes
done34
434
330
224
114
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize24.0ms

Local error

Found 1 expressions with local error:

6.4b
(- (exp x) (exp (- x)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
9×prod-diff
8×add-cube-cbrt
3×fma-neg add-log-exp
1×expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 28
Calls
1 calls:
13.0ms
(- (exp x) (exp (- x)))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(- (exp x) (exp (- x)))

simplify480.0ms

Counts
31 → 31
Iterations
IterNodes
done5001
2671
1170
073

prune160.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x 2 (* 1/3 (pow x 3)))
0.0b
(fma (pow x 5) 1/60 (fma x 2 (* 1/3 (pow x 3))))
0.1b
(* 1/3 (pow x 3))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×associate-*r*
8×add-exp-log
7×*-un-lft-identity add-cube-cbrt
5×add-cbrt-cube
4×unpow-prod-down cube-prod unswap-sqr
3×expm1-log1p-u pow1 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:
1.0ms
(fma x 2 (* 1/3 (pow x 3)))
1.0ms
(fma (pow x 5) 1/60 (fma x 2 (* 1/3 (pow x 3))))
20.0ms
(* 1/3 (pow x 3))

series254.0ms

Counts
3 → 9
Calls
3 calls:
131.0ms
(fma x 2 (* 1/3 (pow x 3)))
68.0ms
(fma (pow x 5) 1/60 (fma x 2 (* 1/3 (pow x 3))))
55.0ms
(* 1/3 (pow x 3))

simplify2.4s

Counts
62 → 62
Iterations
IterNodes
done5000
34420
2608
1184
085

prune633.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1/60 (pow x 5) (fma x 2 (* (pow x 3) 1/3)))
0.1b
(* (pow x 3) 1/3)
0.1b
(* (pow x 3) 1/3)
0.3b
(* (sqrt (fma 1/60 (pow x 5) (fma x 2 (* (pow x 3) 1/3)))) (sqrt (fma 1/60 (pow x 5) (fma x 2 (* (pow x 3) 1/3)))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
30×associate-*l*
20×*-un-lft-identity add-cube-cbrt
19×pow1
18×sqrt-prod
16×add-exp-log
12×associate-*r* unswap-sqr
10×add-cbrt-cube
8×unpow-prod-down sqrt-pow1 pow1/2 cube-prod swap-sqr
7×prod-exp
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×pow-prod-down pow-sqr *-commutative cbrt-unprod
2×cube-mult pow-to-exp unpow3 pow-exp
1×pow2 rem-square-sqrt pow-plus sqrt-unprod fma-udef
Counts
4 → 127
Calls
4 calls:
0.0ms
(fma 1/60 (pow x 5) (fma x 2 (* (pow x 3) 1/3)))
17.0ms
(* (pow x 3) 1/3)
22.0ms
(* (pow x 3) 1/3)
17.0ms
(* (sqrt (fma 1/60 (pow x 5) (fma x 2 (* (pow x 3) 1/3)))) (sqrt (fma 1/60 (pow x 5) (fma x 2 (* (pow x 3) 1/3)))))

series264.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(fma 1/60 (pow x 5) (fma x 2 (* (pow x 3) 1/3)))
52.0ms
(* (pow x 3) 1/3)
55.0ms
(* (pow x 3) 1/3)
86.0ms
(* (sqrt (fma 1/60 (pow x 5) (fma x 2 (* (pow x 3) 1/3)))) (sqrt (fma 1/60 (pow x 5) (fma x 2 (* (pow x 3) 1/3)))))

simplify518.0ms

Counts
139 → 139
Iterations
IterNodes
done5001
2829
1240
0115

prune737.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- (exp x) (exp (- x))))
6.4b
(- (exp x) (exp (- x)))
6.4b
(- (exp x) (exp (- x)))
6.4b
(- (exp x) (exp (- x)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt *-un-lft-identity
27×prod-diff
26×add-cube-cbrt
10×add-log-exp
9×fma-neg
5×cbrt-prod
4×expm1-log1p-u pow1 flip3-- add-cbrt-cube add-exp-log log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
3×sub-neg diff-log
2×cbrt-div
1×pow1/3
Counts
4 → 101
Calls
4 calls:
8.0ms
(cbrt (- (exp x) (exp (- x))))
16.0ms
(- (exp x) (exp (- x)))
14.0ms
(- (exp x) (exp (- x)))
17.0ms
(- (exp x) (exp (- x)))

series303.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt (- (exp x) (exp (- x))))
46.0ms
(- (exp x) (exp (- x)))
42.0ms
(- (exp x) (exp (- x)))
43.0ms
(- (exp x) (exp (- x)))

simplify643.0ms

Counts
113 → 113
Iterations
IterNodes
done5001
2993
1245
0108

prune470.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes40.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
114
013

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.7s3427×body1280valid
939.0ms2450×body640valid
626.0ms1220×body320valid
433.0ms8317×body80valid
69.0ms643×body160valid