Details

Time bar (total: 22.9s)

sample280.0ms

Algorithm
intervals
Results
120.0ms254×body10240exit
80.0ms130×body1280valid
53.0ms56×body640valid
10.0ms38×body320valid
3.0ms19×body160valid
1.0ms13×body80valid

simplify86.0ms

Calls
1 calls:
Slowest
86.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize20.0ms

Local error

Found 2 expressions with local error:

5.8b
(- (exp x) (exp (- x)))
0.0b
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

rewrite42.0ms

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
Calls
2 calls:
Slowest
32.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
8.0ms
(- (exp x) (exp (- x)))

series167.0ms

Calls
2 calls:
Slowest
99.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
68.0ms
(- (exp x) (exp (- x)))

simplify3.4s

Calls
84 calls:
Slowest
172.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
155.0ms
(/ (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
142.0ms
(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
139.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
117.0ms
(- (pow (exp x) 3) (pow (exp (- x)) 3))

prune523.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b
(tanh x)

rewrite0.0ms

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
Calls
1 calls:
Slowest
0.0ms
(tanh x)

series98.0ms

Calls
1 calls:
Slowest
98.0ms
(tanh x)

simplify291.0ms

Calls
3 calls:
Slowest
163.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
69.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
58.0ms
(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))

prune86.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x -1/3)
0.1b
(* (* x -1/3) x)
0.0b
(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))
0.0b
(fma 2/15 (pow x 5) x)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
2×*-commutative fma-udef
1×associate-*l*
Calls
4 calls:
Slowest
3.0ms
(* (* x -1/3) x)
0.0ms
(* 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)

series300.0ms

Calls
4 calls:
Slowest
162.0ms
(fma 2/15 (pow x 5) x)
88.0ms
(fma (* (* x -1/3) x) x (fma 2/15 (pow x 5) x))
34.0ms
(* (* x -1/3) x)
15.0ms
(* x -1/3)

simplify467.0ms

Calls
12 calls:
Slowest
148.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
138.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
116.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
13.0ms
(+ x (* 2/15 (pow x 5)))
9.0ms
(+ x (* 2/15 (pow x 5)))

prune440.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (tanh x))
0.6b
(cbrt (tanh x))
0.6b
(cbrt (tanh x))
0.5b
(* (cbrt (tanh x)) (cbrt (tanh x)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
15×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt tanh-def
9×frac-times pow1
7×pow1/3
6×associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
3×associate-*l/ associate-*r/
2×pow-prod-down pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
12.0ms
(* (cbrt (tanh x)) (cbrt (tanh x)))
1.0ms
(cbrt (tanh x))
1.0ms
(cbrt (tanh x))
1.0ms
(cbrt (tanh x))

series927.0ms

Calls
4 calls:
Slowest
254.0ms
(cbrt (tanh x))
251.0ms
(cbrt (tanh x))
221.0ms
(* (cbrt (tanh x)) (cbrt (tanh x)))
200.0ms
(cbrt (tanh x))

simplify3.9s

Calls
74 calls:
Slowest
246.0ms
(pow (/ (pow (- (exp x) (exp (- x))) 2) (pow (+ (exp x) (exp (- x))) 2)) 1/3)
206.0ms
(pow (/ (pow (- (exp x) (exp (* -1 x))) 2) (pow (+ (exp (* -1 x)) (exp x)) 2)) 1/3)
189.0ms
(* (cbrt (- (exp (* 2 x)) 1)) (cbrt (tanh x)))
147.0ms
(- (+ (pow x 2/3) (* 31/405 (pow (pow x 14) 1/3))) (* 2/9 (pow (pow x 8) 1/3)))
127.0ms
(- (+ (* 13/405 (pow (pow x 13) 1/3)) (pow x 1/3)) (* 1/9 (pow (pow x 7) 1/3)))

prune998.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch2.0ms

end0.0ms

sample10.8s

Algorithm
intervals
Results
6.1s7623×body10240exit
2.4s3417×body1280valid
1.5s2313×body640valid
407.0ms1266×body320valid
103.0ms594×body160valid
35.0ms410×body80valid