Details

Time bar (total: 33.7s)

sample305.0ms

Algorithm
intervals
Results
140.0ms250×body10240exit
74.0ms112×body1280valid
37.0ms26×body80valid
28.0ms69×body640valid
10.0ms33×body320valid
3.0ms16×body160valid

simplify89.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
89.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 55.9b

localize23.0ms

Local error

Found 3 expressions with local error:

4.8b
(- (exp x) (exp (- x)))
1.5b
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
0.0b
(+ (exp x) (exp (- x)))

rewrite109.0ms

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
73.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
22.0ms
(+ (exp x) (exp (- x)))
12.0ms
(- (exp x) (exp (- x)))

series210.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
96.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
71.0ms
(- (exp x) (exp (- x)))
42.0ms
(+ (exp x) (exp (- x)))

simplify5.5s

Counts
91 → 106
Calls
91 calls:
Slowest
394.0ms
(- (pow (exp x) 3) (pow (exp (- x)) 3))
347.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
238.0ms
(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
232.0ms
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt (exp (- x))) (* (cbrt (exp (- x))) (cbrt (exp (- x)))))))
203.0ms
(/ (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))

prune939.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

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)

series115.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
115.0ms
(tanh x)

simplify510.0ms

Counts
3 → 16
Calls
3 calls:
Slowest
269.0ms
(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
158.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
82.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune546.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize35.0ms

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)

rewrite11.0ms

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
10.0ms
(* 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)

series303.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
195.0ms
(fma 2/15 (pow x 5) x)
92.0ms
(fma (* x -1/3) (* x x) (fma 2/15 (pow x 5) x))
16.0ms
(* x -1/3)

simplify1.0s

Counts
18 → 52
Calls
18 calls:
Slowest
199.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
183.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
157.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
130.0ms
(* (* (* x x) x) (* (* -1/3 -1/3) -1/3))
124.0ms
(+ x (* 2/15 (pow x 5)))

prune432.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (sqrt (tanh x)) (sqrt (tanh x)))
0.0b
(tanh x)
0.0b
(tanh x)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
24×sqrt-div
23×add-sqr-sqrt
18×pow1 sqrt-prod
11×*-un-lft-identity add-cube-cbrt
10×tanh-def
9×frac-times
8×sqrt-pow1 pow1/2 swap-sqr
6×associate-*r* associate-*l*
5×add-cbrt-cube add-exp-log pow-prod-up
4×unswap-sqr
3×expm1-log1p-u pow-prod-down associate-*l/ associate-*r/ pow-sqr insert-posit16 log1p-expm1-u add-log-exp
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
3 → 93
Calls
3 calls:
Slowest
31.0ms
(* (sqrt (tanh x)) (sqrt (tanh x)))
1.0ms
(tanh x)
1.0ms
(tanh x)

series295.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
104.0ms
(* (sqrt (tanh x)) (sqrt (tanh x)))
100.0ms
(tanh x)
90.0ms
(tanh x)

simplify10.6s

Counts
92 → 102
Calls
92 calls:
Slowest
616.0ms
(* (* (* (sqrt (tanh x)) (sqrt (tanh x))) (sqrt (tanh x))) (* (* (sqrt (tanh x)) (sqrt (tanh x))) (sqrt (tanh x))))
411.0ms
(* (sqrt (- (exp (* 2 x)) 1)) (sqrt (tanh x)))
327.0ms
(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))
325.0ms
(* (* (cbrt (sqrt (tanh x))) (cbrt (sqrt (tanh x)))) (* (cbrt (sqrt (tanh x))) (cbrt (sqrt (tanh x)))))
316.0ms
(* (sqrt (- (exp (* 2 x)) 1)) (sqrt (- 1 (exp (* -2 x)))))

prune895.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

end0.0ms

sample11.5s

Algorithm
intervals
Results
6.3s7558×body10240exit
2.5s3295×body1280valid
1.8s2473×body640valid
413.0ms1213×body320valid
150.0ms582×body160valid
42.0ms437×body80valid