Details

Time bar (total: 4.6s)

sample114.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
13.6b
(- (exp x) (exp (- x)))

rewrite36.0ms

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:
5.0ms
(+ (exp x) (exp (- x)))
9.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
14.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
5.0ms
(- (exp x) (exp (- x)))

series327.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (exp x) (exp (- x)))
189.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
81.0ms
(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms
(- (exp x) (exp (- x)))

simplify48.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0508967
11773853
25001852

prune363.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
13.6b
(- (exp x) (exp (- x)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
1×sub-neg flip3-- diff-log flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)
5.0ms
(- (exp x) (exp (- x)))

series35.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
35.0ms
(- (exp x) (exp (- x)))

simplify590.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0124243
1286222
2822212
34879210
45002210

prune219.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (* (/ (+ (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)))
13.6b
(- (exp x) (exp (- x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity add-log-exp
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×cbrt-prod cbrt-div pow1/3 associate-*l/
1×sub-neg flip3-- diff-log flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 44
Calls
4 calls:
7.0ms
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
9.0ms
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
7.0ms
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
5.0ms
(- (exp x) (exp (- x)))

series463.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
141.0ms
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
144.0ms
(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
35.0ms
(- (exp x) (exp (- x)))

simplify68.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0188543
1520474
22011461
35001461

prune232.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01916
11916

end0.0ms

sample1.8s

Algorithm
halfpoints