Details

Time bar (total: 4.0s)

sample111.0ms

Algorithm
halfpoints

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31217
42067
54107
610177
720747
850017

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
16×add-sqr-sqrt associate-*l*
13×times-frac
11×add-cube-cbrt
7×add-exp-log add-cbrt-cube
4×pow1 distribute-lft-out add-log-exp
3×associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv
Counts
2 → 47
Calls
2 calls:
9.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
4.0ms
(+ (exp x) (exp (- x)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
23.0ms
(+ (exp x) (exp (- x)))

simplify162.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0277461
11018404
24757402
35001402

prune114.0ms

Filtered
53 candidates to 40 candidates (75.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New51253
Fresh000
Picked011
Done000
Total51354

Merged error: 0.0b

Counts
54 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
20×add-sqr-sqrt
16×associate-*l*
15×add-exp-log add-cube-cbrt add-cbrt-cube
13×times-frac
9×pow1
8×cbrt-prod
6×add-log-exp
4×prod-exp cbrt-unprod distribute-lft-out
3×pow-unpow associate-*r* associate-*l/ pow-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×+-commutative pow-to-exp cbrt-div flip3-+ pow1/3 sum-log *-commutative rem-cbrt-cube flip-+ div-inv
Counts
4 → 90
Calls
4 calls:
10.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
4.0ms
(+ (exp x) (exp (- x)))
2.0ms
(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
9.0ms
(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

series232.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
23.0ms
(+ (exp x) (exp (- x)))
63.0ms
(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
84.0ms
(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

simplify52.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0383858
11701826
25002823

prune231.0ms

Filtered
102 candidates to 72 candidates (70.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1011102
Fresh101
Picked101
Done011
Total1032105

Merged error: 0b

Counts
105 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
0.2b
(* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.3b
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.3b
(cbrt (* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
42×add-exp-log
40×add-cbrt-cube
28×associate-*l/
22×prod-exp cbrt-unprod
19×pow-prod-down
14×cbrt-div
9×add-sqr-sqrt
7×frac-times
6×cbrt-undiv cbrt-prod add-cube-cbrt *-un-lft-identity div-exp
5×associate-*r/ associate-*r* associate-*l*
4×pow1/3 pow-sqr pow-prod-up add-log-exp
2×pow-plus *-commutative unswap-sqr
1×pow2 swap-sqr pow3
Counts
4 → 99
Calls
4 calls:
7.0ms
(* (cbrt (* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
17.0ms
(* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
7.0ms
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
14.0ms
(cbrt (* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))

series540.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(* (cbrt (* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
79.0ms
(* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
149.0ms
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
173.0ms
(cbrt (* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))

simplify58.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04892007
121951554
250021440

prune235.0ms

Filtered
111 candidates to 65 candidates (58.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1110111
Fresh000
Picked011
Done011
Total1112113

Merged error: 0b

Counts
113 → 2

regimes30.0ms

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

sample1.9s

Algorithm
halfpoints