Details

Time bar (total: 23.2s)

sample339.0ms

Algorithm
intervals
Results
149.0ms254×body10240exit
132.0ms130×body1280valid
28.0ms56×body640valid
13.0ms38×body320valid
4.0ms19×body160valid
1.0ms13×body80valid

simplify446.0ms

Calls
1 calls:
Slowest
446.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
25×add-sqr-sqrt
20×times-frac
13×add-cube-cbrt
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
2×pow1 flip3-- associate-/r/ insert-posit16 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
36.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
10.0ms
(- (exp x) (exp (- x)))

series151.0ms

Calls
2 calls:
Slowest
88.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
63.0ms
(- (exp x) (exp (- x)))

simplify2.6s

Calls
64 calls:
Slowest
221.0ms
(+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))
171.0ms
(- (pow (exp x) 3) (pow (exp (- x)) 3))
156.0ms
(- (* (exp x) (exp x)) (* (exp (- x)) (exp (- x))))
116.0ms
(/ (* (* (- (exp x) (exp (- x))) (- (exp x) (exp (- x)))) (- (exp x) (exp (- x)))) (* (* (+ (exp x) (exp (- x))) (+ (exp x) (exp (- x)))) (+ (exp x) (exp (- x)))))
112.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))

prune457.0ms

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 pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 tanh-def add-log-exp
Calls
1 calls:
Slowest
0.0ms
(tanh x)

series105.0ms

Calls
1 calls:
Slowest
105.0ms
(tanh x)

simplify250.0ms

Calls
3 calls:
Slowest
118.0ms
(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
70.0ms
(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
61.0ms
(/ (- (exp x) (exp (* -1 x))) (+ (exp (* -1 x)) (exp x)))

prune102.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x x) -1/3)
0.1b
(* x (* (* x x) -1/3))
0.1b
(* (pow x 5) 2/15)
0.0b
(+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube associate-*l* add-exp-log insert-posit16
3×*-commutative
1×+-commutative sum-log flip3-+ associate-*r* flip-+
Calls
4 calls:
Slowest
7.0ms
(* x (* (* x x) -1/3))
5.0ms
(+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3)))
5.0ms
(* (* x x) -1/3)
4.0ms
(* (pow x 5) 2/15)

series426.0ms

Calls
4 calls:
Slowest
221.0ms
(+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3)))
90.0ms
(* (pow x 5) 2/15)
77.0ms
(* x (* (* x x) -1/3))
37.0ms
(* (* x x) -1/3)

simplify425.0ms

Calls
15 calls:
Slowest
98.0ms
(- (* 2/15 (pow x 5)) (* 1/3 (pow x 3)))
70.0ms
(* (exp (* (pow x 5) 2/15)) (exp (* x (* (* x x) -1/3))))
68.0ms
(- (* 2/15 (pow x 5)) (* 1/3 (pow x 3)))
67.0ms
(- (* 2/15 (pow x 5)) (* 1/3 (pow x 3)))
24.0ms
(* -1/3 (pow x 3))

prune462.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

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)))

rewrite18.0ms

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×add-cbrt-cube insert-posit16 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))

series1.1s

Calls
4 calls:
Slowest
273.0ms
(cbrt (tanh x))
271.0ms
(* (cbrt (tanh x)) (cbrt (tanh x)))
258.0ms
(cbrt (tanh x))
257.0ms
(cbrt (tanh x))

simplify4.4s

Calls
74 calls:
Slowest
207.0ms
(pow (/ (pow (- (exp x) (exp (* -1 x))) 2) (pow (+ (exp (* -1 x)) (exp x)) 2)) 1/3)
191.0ms
(pow (/ (pow (- (exp x) (exp (- x))) 2) (pow (+ (exp x) (exp (- x))) 2)) 1/3)
191.0ms
(* (cbrt (- (exp (* 2 x)) 1)) (cbrt (tanh x)))
171.0ms
(* (cbrt (- (exp x) (exp (- x)))) (cbrt (tanh x)))
151.0ms
(* (cbrt (- 1 (exp (* -2 x)))) (cbrt (tanh x)))

prune875.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (1.8b remaining)

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

bsearch2.0ms

end0.0ms

sample10.9s

Algorithm
intervals
Results
6.0s7623×body10240exit
2.6s3417×body1280valid
1.1s2313×body640valid
568.0ms594×body160valid
385.0ms1266×body320valid
36.0ms410×body80valid