Details

Time bar (total: 38.0s)

sample284.0ms

Algorithm
intervals
Results
141.0ms232×body10240exit
74.0ms109×body1280valid
40.0ms83×body640valid
9.0ms32×body320valid
4.0ms19×body160valid
1.0ms13×body80valid

simplify100.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
100.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize27.0ms

Local error

Found 2 expressions with local error:

5.3b
(- (exp x) (exp (- x)))
0.7b
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
32×add-sqr-sqrt
20×times-frac add-cube-cbrt
9×prod-diff
6×distribute-lft-out distribute-lft-out-- difference-of-squares
5×associate-/l*
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp
3×fma-neg
2×expm1-log1p-u pow1 flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-sub div-exp tanh-undef flip-+ div-inv
Counts
2 → 79
Calls
2 calls:
Slowest
81.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
24.0ms
(- (exp x) (exp (- x)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
100.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
43.0ms
(- (exp x) (exp (- x)))

simplify9.1s

Counts
118 → 85
Calls
118 calls:
Slowest
568.0ms
(* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x))))
404.0ms
(- (pow (exp x) 3) (pow (exp (- x)) 3))
348.0ms
(* (+ (exp x) (exp (- x))) (+ (* (exp x) (exp x)) (+ (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))
334.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
302.0ms
(* (* (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))

prune631.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(tanh x)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u tanh-def add-log-exp
Counts
1 → 13
Calls
1 calls:
Slowest
3.0ms
(tanh x)

series111.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
111.0ms
(tanh x)

simplify1.5s

Counts
19 → 16
Calls
19 calls:
Slowest
391.0ms
(* (* (tanh x) (tanh x)) (tanh x))
290.0ms
(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
171.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
83.0ms
(* (cbrt (tanh x)) (cbrt (tanh x)))
80.0ms
(- 1 (exp (* -2 x)))

prune113.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.3b
(* x -1/3)
0.0b
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
0.0b
(fma 2/15 (pow x 5) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×fma-udef
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 43
Calls
3 calls:
Slowest
11.0ms
(* x -1/3)
0.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
0.0ms
(fma 2/15 (pow x 5) x)

series277.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
166.0ms
(fma 2/15 (pow x 5) x)
87.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
23.0ms
(* x -1/3)

simplify3.9s

Counts
52 → 52
Calls
52 calls:
Slowest
467.0ms
(* (cbrt (fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))) (cbrt (fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))))
451.0ms
(* (* (fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x)) (fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))) (fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x)))
202.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
189.0ms
(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
183.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))

prune492.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 2 expressions with local error:

5.3b
(- (exp x) (exp (- x)))
0.7b
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
32×add-sqr-sqrt
20×times-frac add-cube-cbrt
9×prod-diff
6×distribute-lft-out distribute-lft-out-- difference-of-squares
5×associate-/l*
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp
3×fma-neg
2×expm1-log1p-u pow1 flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-sub div-exp tanh-undef flip-+ div-inv
Counts
2 → 79
Calls
2 calls:
Slowest
81.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
24.0ms
(- (exp x) (exp (- x)))

series189.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
122.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
67.0ms
(- (exp x) (exp (- x)))

simplify9.2s

Counts
118 → 85
Calls
118 calls:
Slowest
559.0ms
(* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x))))
407.0ms
(* (+ (exp x) (exp (- x))) (+ (* (exp x) (exp x)) (+ (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))
367.0ms
(/ (- (exp x) (exp (- x))) (+ (pow (exp x) 3) (pow (exp (- x)) 3)))
332.0ms
(* (* (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))) (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))
327.0ms
(- (pow (exp x) 3) (pow (exp (- x)) 3))

prune703.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample10.9s

Algorithm
intervals
Results
6.1s7588×body10240exit
2.9s3345×body1280valid
1.1s2472×body640valid
370.0ms1178×body320valid
211.0ms592×body160valid
38.0ms413×body80valid