Details

Time bar (total: 18.1s)

sample39.0ms

Algorithm
intervals
Results
25.0ms256×body80valid

simplify31.0ms

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.0b
(+ (exp x) (exp (- x)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+ insert-posit16
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 47
Calls
2 calls:
Slowest
31.0ms
(/ 2 (+ (exp x) (exp (- x))))
18.0ms
(+ (exp x) (exp (- x)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
64.0ms
(/ 2 (+ (exp x) (exp (- x))))
25.0ms
(+ (exp x) (exp (- x)))

simplify1.5s

Counts
53 → 53

prune386.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
0.0b
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
0.0b
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
0.0b
(+ (exp x) (exp (- x)))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
434×sqrt-prod
384×times-frac
362×add-sqr-sqrt
330×*-un-lft-identity
196×add-cube-cbrt
94×swap-sqr
59×distribute-lft-out
48×associate-*r* associate-*l*
25×unswap-sqr
20×add-cbrt-cube add-exp-log
14×associate-/r*
12×sqrt-div associate-/r/ associate-/l*
11×pow1
7×flip3-+ flip-+
6×cbrt-undiv sqrt-undiv div-exp div-inv add-log-exp
4×prod-exp cbrt-unprod insert-posit16
2×clear-num frac-2neg
1×pow2 frac-times +-commutative sum-log rem-square-sqrt pow-plus sqrt-unprod pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 397
Calls
4 calls:
Slowest
131.0ms
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
24.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
20.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
13.0ms
(+ (exp x) (exp (- x)))

series515.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
174.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
161.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
140.0ms
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))))
39.0ms
(+ (exp x) (exp (- x)))

simplify1.3s

Counts
409 → 409

prune5.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
0.0b
(/ 2 (+ (exp x) (exp (- x))))
0.0b
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
0.0b
(sqrt (/ 2 (+ (exp x) (exp (- x)))))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
156×sqrt-prod
140×add-sqr-sqrt
139×times-frac
133×*-un-lft-identity
87×add-cube-cbrt
48×associate-*l*
23×distribute-lft-out
21×associate-*r*
15×unswap-sqr
13×add-cbrt-cube add-exp-log
11×associate-/r*
10×associate-/r/
9×associate-/l*
7×pow1 sqrt-div
5×flip3-+ flip-+ div-inv
4×insert-posit16 add-log-exp
3×cbrt-undiv sqrt-undiv div-exp
2×rem-sqrt-square clear-num frac-2neg prod-exp cbrt-unprod
1×frac-times rem-square-sqrt sqrt-pow1 pow1/2 sqrt-unprod swap-sqr pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 240
Calls
4 calls:
Slowest
87.0ms
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
42.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
31.0ms
(/ 2 (+ (exp x) (exp (- x))))
14.0ms
(sqrt (/ 2 (+ (exp x) (exp (- x)))))

series564.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
191.0ms
(sqrt (/ 2 (+ (exp x) (exp (- x)))))
187.0ms
(/ (sqrt 2) (sqrt (+ (exp x) (exp (- x)))))
124.0ms
(* (/ (sqrt 2) (sqrt (+ (exp x) (exp (- x))))) (sqrt (/ 2 (+ (exp x) (exp (- x))))))
62.0ms
(/ 2 (+ (exp x) (exp (- x))))

simplify815.0ms

Counts
252 → 252

prune3.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))
0.2b
(cbrt (sqrt (+ (exp x) (exp (- x)))))
0.2b
(cbrt (sqrt (+ (exp x) (exp (- x)))))
0.2b
(cbrt (sqrt (+ (exp x) (exp (- x)))))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
18×cbrt-div *-un-lft-identity sqrt-div
15×add-exp-log
12×add-sqr-sqrt pow1 add-cube-cbrt sqrt-prod
9×flip3-+ pow1/3 flip-+ pow-flip
8×associate-/r/
7×add-cbrt-cube
4×frac-times div-exp insert-posit16 add-log-exp
3×times-frac prod-exp distribute-lft-out associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 clear-num associate-/r* frac-2neg pow-plus cbrt-unprod div-inv inv-pow
Counts
4 → 98
Calls
4 calls:
Slowest
82.0ms
(/ 1 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))
16.0ms
(cbrt (sqrt (+ (exp x) (exp (- x)))))
14.0ms
(cbrt (sqrt (+ (exp x) (exp (- x)))))
13.0ms
(cbrt (sqrt (+ (exp x) (exp (- x)))))

series770.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
228.0ms
(/ 1 (* (cbrt (sqrt (+ (exp x) (exp (- x))))) (cbrt (sqrt (+ (exp x) (exp (- x)))))))
195.0ms
(cbrt (sqrt (+ (exp x) (exp (- x)))))
184.0ms
(cbrt (sqrt (+ (exp x) (exp (- x)))))
162.0ms
(cbrt (sqrt (+ (exp x) (exp (- x)))))

simplify878.0ms

Counts
110 → 110

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample650.0ms

Algorithm
intervals
Results
546.0ms8000×body80valid