Details

Time bar (total: 4.2s)

sample116.0ms

Algorithm
halfpoints

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31317
42237
54667
611237
722447
850027

prune6.0ms

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)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
17×add-sqr-sqrt
16×associate-*l*
13×times-frac
12×add-cube-cbrt
7×add-exp-log add-cbrt-cube
4×pow1 distribute-lft-out add-log-exp
3×fma-def associate-*r*
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv
Counts
2 → 54
Calls
2 calls:
10.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms
(+ (exp x) (exp (- x)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms
(+ (exp x) (exp (- x)))

simplify167.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0286487
11053428
24913426
35001426

prune134.0ms

Filtered
60 candidates to 47 candidates (78.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New58260
Fresh000
Picked011
Done000
Total58361

Merged error: 0.0b

Counts
61 → 3

localize19.0ms

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)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
21×add-sqr-sqrt
16×add-cube-cbrt associate-*l*
15×add-exp-log add-cbrt-cube
13×times-frac
9×pow1
8×cbrt-prod
6×add-log-exp
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out
3×pow-unpow fma-def 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 → 101
Calls
4 calls:
10.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms
(+ (exp x) (exp (- x)))
2.0ms
(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
10.0ms
(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

series224.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms
(+ (exp x) (exp (- x)))
56.0ms
(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
84.0ms
(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

simplify54.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0397918
11744882
25001879

prune274.0ms

Filtered
113 candidates to 83 candidates (73.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1121113
Fresh101
Picked101
Done011
Total1142116

Merged error: 0b

Counts
116 → 2

localize17.0ms

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))))

rewrite49.0ms

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×expm1-log1p-u pow1/3 pow-sqr pow-prod-up log1p-expm1-u add-log-exp
2×pow-plus *-commutative unswap-sqr
1×pow2 swap-sqr pow3
Counts
4 → 107
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))))

series524.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (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))))
78.0ms
(* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
146.0ms
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
169.0ms
(cbrt (* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))

simplify61.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05012143
122491689
250011573

prune276.0ms

Filtered
119 candidates to 73 candidates (61.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh000
Picked011
Done011
Total1192121

Merged error: 0b

Counts
121 → 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

sample2.0s

Algorithm
halfpoints