Details

Time bar (total: 4.5s)

sample111.0ms

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

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

rewrite16.0ms

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:
4.0ms
(+ (exp x) (exp (- x)))
10.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series85.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (exp x) (exp (- x)))
63.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify163.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0277461
11018404
24757402
35001402

prune116.0ms

Filtered
53 candidates to 40 candidates (75.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New50353
Fresh000
Picked011
Done000
Total50454

Merged error: 0b

Counts
54 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
38×associate-*l*
34×sqrt-prod
30×add-sqr-sqrt
25×times-frac
23×add-cube-cbrt
11×pow1 add-exp-log add-cbrt-cube
8×distribute-lft-out add-log-exp
5×sqrt-div
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×unswap-sqr
2×+-commutative flip3-+ sum-log *-commutative flip-+ div-inv
1×frac-times associate-*r/
Counts
4 → 98
Calls
4 calls:
5.0ms
(+ (exp x) (exp (- x)))
8.0ms
(+ (exp x) (exp (- x)))
11.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
18.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

series283.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (exp x) (exp (- x)))
27.0ms
(+ (exp x) (exp (- x)))
115.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
119.0ms
(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03861200
113621051
250021049

prune284.0ms

Filtered
110 candidates to 82 candidates (74.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1091110
Fresh112
Picked101
Done011
Total1113114

Merged error: 0b

Counts
114 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.4b
(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
0.6b
(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))

rewrite29.0ms

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:
5.0ms
(+ (exp x) (exp (- x)))
10.0ms
(* (/ (+ (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))

series221.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (exp x) (exp (- x)))
60.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
78.0ms
(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
61.0ms
(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))

simplify57.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0383858
11701826
25001823

prune228.0ms

Filtered
102 candidates to 73 candidates (71.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1020102
Fresh011
Picked011
Done011
Total1023105

Merged error: 0b

Counts
105 → 3

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(exp (/ (+ (exp x) (exp (- x))) 2.0))
0.1b
(pow (exp (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
0.4b
(log (pow (exp (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
32×exp-prod
24×add-sqr-sqrt add-cube-cbrt times-frac
17×pow-pow
7×log-prod distribute-lft-out add-log-exp
6×unpow-prod-down
5×pow1 add-exp-log
4×add-cbrt-cube
3×pow-unpow rem-log-exp
2×pow-to-exp pow-exp div-inv sqr-pow
1×+-commutative flip3-+ sum-log log-pow flip-+ rem-exp-log
Counts
4 → 87
Calls
4 calls:
5.0ms
(+ (exp x) (exp (- x)))
7.0ms
(exp (/ (+ (exp x) (exp (- x))) 2.0))
9.0ms
(pow (exp (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
7.0ms
(log (pow (exp (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

series329.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (exp x) (exp (- x)))
78.0ms
(exp (/ (+ (exp x) (exp (- x))) 2.0))
113.0ms
(pow (exp (/ (+ (exp x) (exp (- x))) 2.0)) (cos y))
117.0ms
(log (pow (exp (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0366899
11294825
25001813

prune251.0ms

Filtered
99 candidates to 74 candidates (74.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh000
Picked011
Done022
Total993102

Merged error: 0b

Counts
102 → 3

regimes37.0ms

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

sample2.0s

Algorithm
halfpoints

Profiling

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