Details

Time bar (total: 15.6s)

sample145.0ms

Algorithm
intervals
Results
62.0ms112×body1280valid
37.0ms76×body640valid
13.0ms248×body80valid
9.0ms39×body320valid
3.0ms22×body160valid

simplify15.0ms

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: 58.4b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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:
24.0ms
(- (exp x) (exp (- x)))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(- (exp x) (exp (- x)))

simplify611.0ms

Counts
31 → 31
Iterations
IterNodes
done5001
2671
1170
073

prune148.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
7×add-exp-log
6×*-un-lft-identity add-cube-cbrt
4×unpow-prod-down add-cbrt-cube cube-prod unswap-sqr
3×associate-*l* prod-exp
2×expm1-log1p-u pow1 log1p-expm1-u add-log-exp sqr-pow
1×cube-mult pow-to-exp unpow3 pow-exp *-commutative cbrt-unprod fma-udef
Counts
2 → 43
Calls
2 calls:
0.0ms
(fma (pow x 5) 1/60 (fma x 2 (* 1/3 (pow x 3))))
20.0ms
(* 1/3 (pow x 3))

series149.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(fma (pow x 5) 1/60 (fma x 2 (* 1/3 (pow x 3))))
78.0ms
(* 1/3 (pow x 3))

simplify3.3s

Counts
49 → 49
Iterations
IterNodes
done5000
34440
2558
1170
074

prune262.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (fma x (fma (* x x) 1/3 2) (* 1/60 (pow x 5))))
0.0b
(fma x (fma (* x x) 1/3 2) (* 1/60 (pow x 5)))
0.0b
(expm1 (log1p (fma x (fma (* x x) 1/3 2) (* 1/60 (pow x 5)))))
0.1b
(* 1/60 (pow x 5))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×add-exp-log
7×*-un-lft-identity associate-*r* add-cube-cbrt
6×add-cbrt-cube
5×expm1-log1p-u
4×pow1 unpow-prod-down log1p-expm1-u add-log-exp
3×associate-*l* prod-exp unswap-sqr
2×sqr-pow
1×pow-to-exp log1p-udef expm1-log1p pow-exp log1p-expm1 *-commutative cbrt-unprod fma-udef expm1-udef
Counts
4 → 59
Calls
4 calls:
1.0ms
(log1p (fma x (fma (* x x) 1/3 2) (* 1/60 (pow x 5))))
1.0ms
(fma x (fma (* x x) 1/3 2) (* 1/60 (pow x 5)))
0.0ms
(expm1 (log1p (fma x (fma (* x x) 1/3 2) (* 1/60 (pow x 5)))))
16.0ms
(* 1/60 (pow x 5))

series547.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(log1p (fma x (fma (* x x) 1/3 2) (* 1/60 (pow x 5))))
78.0ms
(fma x (fma (* x x) 1/3 2) (* 1/60 (pow x 5)))
263.0ms
(expm1 (log1p (fma x (fma (* x x) 1/3 2) (* 1/60 (pow x 5)))))
86.0ms
(* 1/60 (pow x 5))

simplify2.7s

Counts
71 → 71
Iterations
IterNodes
done5000
34833
2939
1311
0138

prune394.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- (pow (exp x) 2) (exp (* x -2))) (+ (exp x) (exp (- x))))
0.0b
(pow (exp x) 2)
6.3b
(- (pow (exp x) 2) (exp (* x -2)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
66×*-un-lft-identity
36×add-cube-cbrt
32×times-frac
24×prod-diff difference-of-squares
21×unpow-prod-down
11×unpow2 sqr-pow
9×distribute-lft-out
8×fma-neg associate-/l*
6×distribute-lft-out--
5×add-cbrt-cube add-exp-log add-log-exp
4×pow1 associate-/r* pow-pow
3×expm1-log1p-u pow-unpow exp-prod log1p-expm1-u
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow-to-exp cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-sub div-exp pow-exp flip-+ div-inv
Counts
3 → 137
Calls
3 calls:
91.0ms
(/ (- (pow (exp x) 2) (exp (* x -2))) (+ (exp x) (exp (- x))))
3.0ms
(pow (exp x) 2)
27.0ms
(- (pow (exp x) 2) (exp (* x -2)))

series206.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(/ (- (pow (exp x) 2) (exp (* x -2))) (+ (exp x) (exp (- x))))
15.0ms
(pow (exp x) 2)
80.0ms
(- (pow (exp x) 2) (exp (* x -2)))

simplify1.8s

Counts
146 → 146
Iterations
IterNodes
done5000
22240
1563
0225

prune605.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done14
114
013

end0.0ms

sample4.3s

Algorithm
intervals
Results
1.7s3286×body1280valid
1.2s2512×body640valid
643.0ms8161×body80valid
230.0ms1280×body320valid
78.0ms658×body160valid