Details

Time bar (total: 28.7s)

sample276.0ms

Algorithm
intervals
Results
123.0ms249×body10240exit
104.0ms118×body1280valid
26.0ms71×body640valid
8.0ms34×body320valid
4.0ms25×body160valid
1.0ms8×body80valid

simplify85.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
85.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize22.0ms

Local error

Found 3 expressions with local error:

6.5b
(- (exp x) (exp (- x)))
0.7b
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b
(+ (exp x) (exp (- x)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
34×add-sqr-sqrt
22×add-cube-cbrt
20×times-frac
9×prod-diff
7×distribute-lft-out add-log-exp
6×distribute-lft-out-- difference-of-squares
5×add-cbrt-cube add-exp-log associate-/l*
4×associate-/r*
3×expm1-log1p-u pow1 fma-def fma-neg insert-posit16 log1p-expm1-u
2×flip3-+ flip3-- associate-/r/ flip-+ flip-- associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg diff-log div-sub div-exp tanh-undef div-inv
Counts
3 → 97
Calls
3 calls:
Slowest
58.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
14.0ms
(- (exp x) (exp (- x)))
10.0ms
(+ (exp x) (exp (- x)))

series187.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
91.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
55.0ms
(- (exp x) (exp (- x)))
41.0ms
(+ (exp x) (exp (- x)))

simplify5.7s

Counts
91 → 106
Calls
91 calls:
Slowest
397.0ms
(- (pow (exp x) 3) (pow (exp (- x)) 3))
240.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
240.0ms
(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
232.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
202.0ms
(/ (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))

prune814.0ms

Pruning

2 alts after pruning (2 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)

series109.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
109.0ms
(tanh x)

simplify484.0ms

Counts
3 → 16
Calls
3 calls:
Slowest
265.0ms
(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
145.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
73.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune161.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (fma 1/3 (* x x) 2))
0.0b
(+ (exp x) (exp (- x)))
0.0b
(/ (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2))) (+ (exp x) (exp (- x))))
0.0b
(fma 1/3 (* x x) 2)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
18×add-sqr-sqrt
16×add-cube-cbrt
12×times-frac
8×add-cbrt-cube add-exp-log
6×pow1 add-log-exp
5×distribute-lft-out
4×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u
3×fma-def associate-*r* associate-*l* fma-udef associate-/l*
2×flip3-+ associate-/r/ flip-+
1×distribute-rgt-in cbrt-undiv +-commutative clear-num sum-log frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 88
Calls
4 calls:
Slowest
34.0ms
(/ (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2))) (+ (exp x) (exp (- x))))
11.0ms
(+ (exp x) (exp (- x)))
6.0ms
(* x (fma 1/3 (* x x) 2))
0.0ms
(fma 1/3 (* x x) 2)

series371.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
149.0ms
(/ (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2))) (+ (exp x) (exp (- x))))
105.0ms
(* x (fma 1/3 (* x x) 2))
77.0ms
(fma 1/3 (* x x) 2)
41.0ms
(+ (exp x) (exp (- x)))

simplify8.8s

Counts
62 → 100
Calls
62 calls:
Slowest
710.0ms
(* (* (* x x) x) (* (* (fma 1/3 (* x x) 2) (fma 1/3 (* x x) 2)) (fma 1/3 (* x x) 2)))
543.0ms
(/ (sqrt (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))) (sqrt (+ (exp x) (exp (- x)))))
469.0ms
(sqrt (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2))))
404.0ms
(* (cbrt (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))) (cbrt (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))))
398.0ms
(/ (sqrt (fma 1/60 (pow x 5) (* x (fma 1/3 (* x x) 2)))) 1)

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample10.3s

Algorithm
intervals
Results
5.0s7310×body10240exit
2.8s3304×body1280valid
1.4s2479×body640valid
760.0ms1208×body320valid
111.0ms615×body160valid
36.0ms394×body80valid