Details

Time bar (total: 11.9s)

sample300.0ms

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

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: 43.0b

Counts
2 → 1

localize38.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.0b
(- (exp x) (exp (- x)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×*-un-lft-identity
19×associate-*l*
16×times-frac
12×add-cube-cbrt
7×add-exp-log add-cbrt-cube
4×pow1 distribute-lft-out-- add-log-exp difference-of-squares
3×associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv
Counts
2 → 52
Calls
2 calls:
10.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
5.0ms
(- (exp x) (exp (- x)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
41.0ms
(- (exp x) (exp (- x)))

simplify105.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0293506
1893449
23855448
35001448

prune152.0ms

Filtered
58 candidates to 44 candidates (75.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New53558
Fresh000
Picked101
Done000
Total54559

Merged error: 0.4b

Counts
59 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.1b
(* 1/60 (pow x 5))
0.1b
(* 1/3 (pow x 3))
0.2b
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
22×associate-*r*
19×add-exp-log add-cube-cbrt *-un-lft-identity associate-*l*
13×add-cbrt-cube
10×times-frac
9×add-log-exp unswap-sqr
8×unpow-prod-down prod-exp
6×pow1
4×cube-prod cbrt-unprod sqr-pow
3×sum-log *-commutative
2×pow-to-exp pow-exp
1×cbrt-undiv +-commutative cube-mult associate-+r+ flip3-+ unpow3 div-exp pow-prod-down associate-*l/ flip-+ div-inv
Counts
4 → 101
Calls
4 calls:
8.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms
(* 1/60 (pow x 5))
6.0ms
(* 1/3 (pow x 3))
15.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

series253.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
55.0ms
(* 1/60 (pow x 5))
37.0ms
(* 1/3 (pow x 3))
97.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

simplify60.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0465830
11991734
25002734

prune307.0ms

Filtered
113 candidates to 76 candidates (67.3%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New10310113
Fresh044
Picked011
Done000
Total10315118

Merged error: 0.3b

Counts
118 → 15

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
0.3b
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
0.5b
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
1.0b
(/ 1 (sqrt 2.0))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
69×add-sqr-sqrt
61×add-cube-cbrt *-un-lft-identity
54×add-exp-log
44×associate-*l*
43×sqrt-prod
34×add-cbrt-cube
22×prod-exp
14×div-exp
13×pow1
12×associate-/r* cbrt-unprod
8×cbrt-undiv
6×associate-/l*
4×rec-exp 1-exp associate-*r* pow-prod-down associate-*l/ div-inv add-log-exp
3×pow-flip unswap-sqr
2×frac-2neg clear-num *-commutative associate-/l/
1×frac-times sqrt-pow1 flip3-+ pow1/2 associate-*r/ flip-+ inv-pow
Counts
4 → 182
Calls
4 calls:
14.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
18.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
11.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
4.0ms
(/ 1 (sqrt 2.0))

series534.0ms

Counts
4 → 10
Calls
4 calls:
167.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
230.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
136.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06842590
136672213
250022104

prune496.0ms

Filtered
192 candidates to 112 candidates (58.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1884192
Fresh8513
Picked011
Done011
Total19611207

Merged error: 0.3b

Counts
207 → 11

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sin y))
0.3b
(/ (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.3b
(* (/ 1 (sqrt 2.0)) (* (/ (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sin y)))
1.0b
(/ 1 (sqrt 2.0))

rewrite330.0ms

Algorithm
rewrite-expression-head
Rules
1128×times-frac
1122×sqrt-prod
631×add-sqr-sqrt
584×add-cube-cbrt *-un-lft-identity
305×associate-*l*
82×add-exp-log
52×add-cbrt-cube
34×associate-/l*
31×prod-exp
28×div-exp
23×div-inv
17×cbrt-undiv cbrt-unprod
15×associate-/r*
13×pow1 unswap-sqr
5×rec-exp 1-exp
4×associate-*r* pow-prod-down associate-*l/ add-log-exp
3×pow-flip
2×frac-2neg clear-num *-commutative
1×frac-times sqrt-pow1 pow1/2 associate-*r/ associate-/l/ inv-pow
Counts
4 → 754
Calls
4 calls:
61.0ms
(* (/ (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sin y))
22.0ms
(/ (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
181.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sin y)))
4.0ms
(/ 1 (sqrt 2.0))

series526.0ms

Counts
4 → 10
Calls
4 calls:
166.0ms
(* (/ (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sin y))
127.0ms
(/ (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
232.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sin y)))
0.0ms
(/ 1 (sqrt 2.0))

simplify176.0ms

Algorithm
egg-herbie
Counts
764 → 764
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
0164916326
1500114782

prune1.8s

Filtered
764 candidates to 349 candidates (45.7%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New7640764
Fresh088
Picked011
Done022
Total76411775

Merged error: 0.3b

Counts
775 → 11

regimes102.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02410
12410

end0.0ms

sample6.2s

Algorithm
halfpoints

Profiling

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