Details

Time bar (total: 3.8s)

sample103.0ms

Algorithm
halfpoints

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31217
42067
54107
610177
720747
850017

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity associate-*l*
15×add-sqr-sqrt
13×times-frac
10×add-cube-cbrt
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r* distribute-lft-out
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
26.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify94.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0217361
1826316
23481314
35001314

prune91.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.3b
(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
0.5b
(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
19×add-sqr-sqrt
16×associate-*l*
14×add-exp-log add-cube-cbrt add-cbrt-cube
13×times-frac
8×pow1 cbrt-prod
4×prod-exp cbrt-unprod
3×pow-unpow associate-*r* associate-*l/ pow-exp distribute-lft-out add-log-exp rem-cube-cbrt
2×cbrt-undiv cube-div cube-mult unpow-prod-down pow-pow unpow3 cube-prod div-exp pow-prod-down unswap-sqr sqr-pow
1×pow-to-exp cbrt-div pow1/3 *-commutative rem-cbrt-cube div-inv
Counts
3 → 78
Calls
3 calls:
26.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
9.0ms
(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
2.0ms
(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))

series201.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
82.0ms
(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
59.0ms
(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))

simplify46.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0325767
11500738
25001736

prune225.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
0.3b
(pow (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))) 3)
0.5b
(cbrt (pow (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))) 3))
0.7b
(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
70×add-exp-log
52×add-cbrt-cube
50×associate-*l*
47×*-un-lft-identity
44×times-frac
43×add-sqr-sqrt
35×add-cube-cbrt
32×prod-exp
25×sqrt-prod
22×cbrt-unprod
19×div-exp
17×pow1
11×cbrt-undiv
10×associate-*l/ pow-exp
8×cbrt-prod
7×pow-prod-down rem-cube-cbrt
6×cube-div 1-exp distribute-lft-out
4×associate-*r* add-log-exp
3×frac-times pow-unpow cbrt-div pow-pow associate-*r/ unswap-sqr
2×cube-mult unpow-prod-down unpow3 cube-prod *-commutative div-inv sqr-pow
1×pow-to-exp pow1/3 rem-cbrt-cube
Counts
4 → 158
Calls
4 calls:
31.0ms
(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
37.0ms
(pow (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))) 3)
3.0ms
(cbrt (pow (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))) 3))
57.0ms
(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))

series289.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
83.0ms
(pow (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))) 3)
57.0ms
(cbrt (pow (* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))) 3))
62.0ms
(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))

simplify85.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06472354
131201993
250011794

prune460.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes29.0ms

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
0127
1127

end0.0ms

sample1.8s

Algorithm
halfpoints