Details

Time bar (total: 5.1s)

sample88.0ms

Algorithm
halfpoints

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31217
42067
54107
610177
720747
850017

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
20.3b
(- (exp x) (exp (- x)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×*-un-lft-identity
35×associate-*l*
29×times-frac
23×add-cube-cbrt
14×add-exp-log add-cbrt-cube
pow1 add-log-exp
associate-*r*
prod-exp cbrt-unprod distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
+-commutative sub-neg flip3-- flip3-+ diff-log sum-log flip-- flip-+
Counts
4 → 99
Calls
4 calls:
8.0ms
(+ (exp x) (exp (- x)))
26.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms
(- (exp x) (exp (- x)))

series202.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (exp x) (exp (- x)))
62.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
82.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms
(- (exp x) (exp (- x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0508967
11773853
25001852

prune375.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
0.0b
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
20.3b
(- (exp x) (exp (- x)))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
57×associate-*l*
53×add-sqr-sqrt *-un-lft-identity
41×times-frac
34×sqrt-prod
33×add-cube-cbrt
16×add-exp-log add-cbrt-cube
13×pow1
associate-*r*
prod-exp cbrt-unprod distribute-lft-out add-log-exp
sqrt-div pow-prod-down associate-*l/ unswap-sqr
distribute-lft-out-- difference-of-squares
*-commutative div-inv
cbrt-undiv frac-times sub-neg flip3-- diff-log associate-*r/ div-exp flip--
Counts
4 → 126
Calls
4 calls:
30.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
54.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
29.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms
(- (exp x) (exp (- x)))

series363.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
129.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))
80.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms
(- (exp x) (exp (- x)))

simplify57.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05791506
120511323
250011322

prune513.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))
0.0b
(sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))
0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
20.3b
(- (exp x) (exp (- x)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
74×sqrt-prod
53×add-sqr-sqrt
52×*-un-lft-identity
42×times-frac
32×add-cube-cbrt
19×associate-*l*
10×pow1
add-exp-log add-cbrt-cube
sqrt-pow1
rem-sqrt-square distribute-lft-out add-log-exp
pow1/2 sqrt-div distribute-lft-out-- difference-of-squares
associate-*r* div-inv
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 120
Calls
4 calls:
13.0ms
(sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))
12.0ms
(sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))
27.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms
(- (exp x) (exp (- x)))

series541.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))
205.0ms
(sqrt (sqrt (/ (+ (exp x) (exp (- x))) 2.0)))
82.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
41.0ms
(- (exp x) (exp (- x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04511322
113331253
250021237

prune560.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01916
11916

end0.0ms

sample1.8s

Algorithm
halfpoints