Details

Time bar (total: 4.3s)

sample103.0ms

Algorithm
halfpoints

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0307
1477
2847
31317
42237
54667
611237
722447
850027

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity associate-*l*
15×add-sqr-sqrt
13×times-frac
10×add-cube-cbrt
6×add-exp-log add-cbrt-cube
3×pow1 associate-*r* distribute-lft-out
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 37
Calls
1 calls:
28.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify91.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0220377
1838331
23552330
35001329

prune103.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.3b
(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
0.5b
(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
19×add-sqr-sqrt
16×associate-*l*
14×add-exp-log add-cube-cbrt add-cbrt-cube
13×times-frac
8×pow1 cbrt-prod
4×prod-exp cbrt-unprod
3×expm1-log1p-u pow-unpow associate-*r* associate-*l/ pow-exp log1p-expm1-u distribute-lft-out add-log-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×pow-to-exp cbrt-div pow1/3 *-commutative rem-cbrt-cube div-inv
Counts
3 → 84
Calls
3 calls:
27.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
10.0ms
(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
2.0ms
(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))

series206.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
86.0ms
(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)
63.0ms
(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))

simplify53.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0333817
11520785
25001783

prune252.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.4b
(log1p (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
0.6b
(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
17×add-sqr-sqrt
16×associate-*l*
13×times-frac
12×add-cube-cbrt
8×add-exp-log add-cbrt-cube
5×pow1
4×log1p-expm1-u
3×expm1-log1p-u associate-*r* distribute-lft-out add-log-exp
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv log1p-udef expm1-log1p log1p-expm1 div-exp pow-prod-down associate-*l/ *-commutative div-inv expm1-udef
Counts
3 → 59
Calls
3 calls:
31.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0ms
(log1p (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
0.0ms
(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

series256.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
99.0ms
(log1p (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
98.0ms
(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))

simplify106.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0277644
1983564
23948561
35002559

prune191.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.6b
(log (+ 1 (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))))
0.6b
(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.6b
(+ 1 (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
20×add-sqr-sqrt
16×associate-*l*
15×add-cube-cbrt
13×times-frac
10×add-exp-log
9×add-cbrt-cube
7×pow1
6×add-log-exp
5×log1p-expm1-u distribute-lft-out
4×expm1-log1p-u log-prod
3×fma-def associate-*r*
2×log-div flip3-+ prod-exp cbrt-unprod flip-+ expm1-udef unswap-sqr
1×cbrt-undiv +-commutative associate-+r- expm1-log1p log1p-def div-exp rem-log-exp pow-prod-down associate-*l/ sum-log log-pow *-commutative div-inv
Counts
4 → 84
Calls
4 calls:
30.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
2.0ms
(log (+ 1 (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))))
0.0ms
(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
3.0ms
(+ 1 (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))

series349.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
97.0ms
(log (+ 1 (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))))
98.0ms
(expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
95.0ms
(+ 1 (expm1 (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))

simplify44.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0353996
11387880
25001873

prune290.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

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

sample1.9s

Algorithm
halfpoints