Details

Time bar (total: 6.0s)

sample106.0ms

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

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.8b
(- (exp x) (exp (- x)))

rewrite70.0ms

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:
26.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
6.0ms
(+ (exp x) (exp (- x)))
27.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms
(- (exp x) (exp (- x)))

series201.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
22.0ms
(+ (exp x) (exp (- x)))
81.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms
(- (exp x) (exp (- x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0508967
11773853
25001852

prune380.0ms

Filtered
111 candidates to 84 candidates (75.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.8b
(- (exp x) (exp (- x)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×*-un-lft-identity
19×associate-*l*
16×times-frac
14×add-cube-cbrt
10×add-log-exp
9×add-exp-log add-cbrt-cube
6×pow1
4×distribute-lft-out-- difference-of-squares
3×associate-*r*
2×+-commutative flip3-+ prod-exp sum-log cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv
Counts
4 → 76
Calls
4 calls:
5.0ms
(+ (exp x) (exp (- x)))
5.0ms
(+ (exp x) (exp (- x)))
30.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms
(- (exp x) (exp (- x)))

series164.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (exp x) (exp (- x)))
27.0ms
(+ (exp x) (exp (- x)))
79.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms
(- (exp x) (exp (- x)))

simplify36.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0345706
11108625
25001623

prune380.0ms

Filtered
88 candidates to 70 candidates (79.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b
(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
17.8b
(- (exp x) (exp (- x)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
43×add-sqr-sqrt
40×times-frac
32×cbrt-prod
30×add-cube-cbrt
19×associate-*l*
9×add-exp-log add-cbrt-cube
6×pow1 distribute-lft-out add-log-exp
4×distribute-lft-out-- difference-of-squares
3×associate-*r* div-inv
2×cbrt-div pow1/3 prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 102
Calls
4 calls:
6.0ms
(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
6.0ms
(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
29.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms
(- (exp x) (exp (- x)))

series482.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
183.0ms
(cbrt (/ (+ (exp x) (exp (- x))) 2.0))
84.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms
(- (exp x) (exp (- x)))

simplify48.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
04151162
113161075
250011059

prune460.0ms

Filtered
114 candidates to 86 candidates (75.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
0.0b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.1b
(* 1/12 (pow x 4))
17.8b
(- (exp x) (exp (- x)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
40×*-un-lft-identity
38×associate-*l*
29×times-frac
26×add-cube-cbrt
19×add-exp-log
16×add-cbrt-cube
13×associate-*r*
8×pow1
7×prod-exp unswap-sqr
6×add-log-exp
5×cbrt-unprod
4×unpow-prod-down distribute-lft-out-- difference-of-squares
3×*-commutative distribute-lft-out
2×cbrt-undiv div-exp pow-prod-down associate-*l/ div-inv sqr-pow
1×pow-to-exp sub-neg flip3-- diff-log pow-exp flip--
Counts
4 → 112
Calls
4 calls:
52.0ms
(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
29.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms
(* 1/12 (pow x 4))
6.0ms
(- (exp x) (exp (- x)))

series226.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
81.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
36.0ms
(* 1/12 (pow x 4))
39.0ms
(- (exp x) (exp (- x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05761010
12149893
25002889

prune488.0ms

Filtered
124 candidates to 88 candidates (71.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes91.0ms

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
01916
11916

end0.0ms

sample2.5s

Algorithm
halfpoints