Details

Time bar (total: 11.8s)

sample285.0ms

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

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.2b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b
(+ (exp x) (exp (- x)))
0.1b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
58.1b
(- (exp x) (exp (- x)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×*-un-lft-identity
35×associate-*l*
29×times-frac
23×add-cube-cbrt
14×add-exp-log add-cbrt-cube
8×pow1 add-log-exp
6×associate-*r*
4×prod-exp cbrt-unprod distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative sub-neg flip3-- flip3-+ diff-log sum-log flip-- flip-+
Counts
4 → 99
Calls
4 calls:
10.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms
(+ (exp x) (exp (- x)))
11.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
5.0ms
(- (exp x) (exp (- x)))

series203.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms
(+ (exp x) (exp (- x)))
78.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
40.0ms
(- (exp x) (exp (- x)))

simplify48.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0508967
11773853
25001852

prune410.0ms

Filtered
111 candidates to 84 candidates (75.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize61.0ms

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

rewrite36.0ms

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))
12.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

series248.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
54.0ms
(* 1/60 (pow x 5))
42.0ms
(* 1/3 (pow x 3))
95.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

simplify66.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0465842
11988741
25002741

prune532.0ms

Filtered
113 candidates to 76 candidates (67.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

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))
0.4b
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
0.4b
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
1.0b
(/ 1 (sqrt 2.0))

rewrite60.0ms

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:
18.0ms
(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
19.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
12.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
5.0ms
(/ 1 (sqrt 2.0))

series527.0ms

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))
232.0ms
(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
128.0ms
(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms
(/ 1 (sqrt 2.0))

simplify99.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06842589
136672213
250022104

prune821.0ms

Filtered
192 candidates to 112 candidates (58.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 (sqrt (sqrt 2.0))) (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))))
0.4b
(* (/ 1 (sqrt 2.0)) (* (* (/ 1 (sqrt (sqrt 2.0))) (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0)))) (sin y)))
1.0b
(/ 1 (sqrt 2.0))
1.0b
(/ 1 (sqrt (sqrt 2.0)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
216×add-exp-log
181×add-sqr-sqrt
162×times-frac
156×sqrt-prod
116×prod-exp
104×*-un-lft-identity
92×add-cube-cbrt
76×add-cbrt-cube
64×div-exp
53×associate-*l*
34×cbrt-unprod
32×associate-*r*
28×unswap-sqr
22×rec-exp 1-exp
20×pow1 cbrt-undiv
15×associate-/r*
10×associate-*l/
8×pow-flip
7×pow-prod-down
6×frac-times associate-*r/ associate-/l*
5×sqrt-pow1 div-inv
4×add-log-exp
3×pow1/2
2×frac-2neg clear-num *-commutative inv-pow
Counts
4 → 311
Calls
4 calls:
37.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))))
30.0ms
(* (/ 1 (sqrt 2.0)) (* (* (/ 1 (sqrt (sqrt 2.0))) (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0)))) (sin y)))
4.0ms
(/ 1 (sqrt 2.0))
6.0ms
(/ 1 (sqrt (sqrt 2.0)))

series376.0ms

Counts
4 → 8
Calls
4 calls:
135.0ms
(* (/ 1 (sqrt (sqrt 2.0))) (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0))))
241.0ms
(* (/ 1 (sqrt 2.0)) (* (* (/ 1 (sqrt (sqrt 2.0))) (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt (sqrt 2.0)))) (sin y)))
0.0ms
(/ 1 (sqrt 2.0))
0.0ms
(/ 1 (sqrt (sqrt 2.0)))

simplify79.0ms

Algorithm
egg-herbie
Counts
319 → 319
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011615298
150014479

prune1.1s

Filtered
319 candidates to 144 candidates (45.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03519
13519

end0.0ms

sample6.3s

Algorithm
halfpoints