Details

Time bar (total: 5.9s)

sample78.0ms

Algorithm
intervals
Results
32.0ms104×body1280valid
16.0ms85×body640valid
11.0ms249×body80valid
4.0ms30×body320valid
1.0ms16×body160valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1284
2564
31024
41534
53344
69244
719124
850014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ (sin y) y))
0.1b
(/ (sin y) y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv expm1-log1p-u cosh-def div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 65
Calls
2 calls:
8.0ms
(* (cosh x) (/ (sin y) y))
3.0ms
(/ (sin y) y)

series100.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* (cosh x) (/ (sin y) y))
31.0ms
(/ (sin y) y)

simplify45.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0271408
11085363
25001351

prune165.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (cosh x))
0.0b
(* (* (cbrt (cosh x)) (cbrt (cosh x))) (* (cbrt (cosh x)) (/ (sin y) y)))
0.0b
(* (cbrt (cosh x)) (cbrt (cosh x)))
0.1b
(/ (sin y) y)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log add-sqr-sqrt cbrt-div cosh-def
23×pow1
21×add-cube-cbrt *-un-lft-identity
19×cbrt-prod
18×frac-times
17×add-cbrt-cube
14×prod-exp cbrt-unprod
12×associate-*r/ associate-*l/
10×pow-prod-down
9×times-frac
7×pow1/3 associate-*r* associate-*l*
6×swap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-undiv div-exp associate-/r* associate-/l*
2×pow-sqr *-commutative pow-prod-up
1×pow2 frac-2neg pow-plus clear-num div-inv
Counts
4 → 131
Calls
4 calls:
1.0ms
(cbrt (cosh x))
24.0ms
(* (* (cbrt (cosh x)) (cbrt (cosh x))) (* (cbrt (cosh x)) (/ (sin y) y)))
6.0ms
(* (cbrt (cosh x)) (cbrt (cosh x)))
3.0ms
(/ (sin y) y)

series486.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (cosh x))
69.0ms
(* (* (cbrt (cosh x)) (cbrt (cosh x))) (* (cbrt (cosh x)) (/ (sin y) y)))
239.0ms
(* (cbrt (cosh x)) (cbrt (cosh x)))
30.0ms
(/ (sin y) y)

simplify63.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05221243
120261041
25001941

prune353.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (cosh x))) (* (cbrt (cosh x)) (sin y)))
0.2b
(/ (* (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (cosh x))) (* (cbrt (cosh x)) (sin y))) (* (cbrt 2) y))
1.0b
(cbrt (+ (exp x) (exp (- x))))
1.0b
(cbrt 2)

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
42×cbrt-div
34×add-cbrt-cube
30×associate-*l/
29×prod-exp cbrt-unprod
24×cosh-def
18×frac-times
16×pow1
11×associate-/l/
10×cbrt-undiv div-exp
9×flip3-+ flip-+
8×*-un-lft-identity pow-prod-down
7×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3
1×frac-2neg times-frac associate-*r* associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l*
Counts
4 → 110
Calls
4 calls:
37.0ms
(* (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (cosh x))) (* (cbrt (cosh x)) (sin y)))
42.0ms
(/ (* (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (cosh x))) (* (cbrt (cosh x)) (sin y))) (* (cbrt 2) y))
5.0ms
(cbrt (+ (exp x) (exp (- x))))
1.0ms
(cbrt 2)

series579.0ms

Counts
4 → 10
Calls
4 calls:
190.0ms
(* (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (cosh x))) (* (cbrt (cosh x)) (sin y)))
252.0ms
(/ (* (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (cosh x))) (* (cbrt (cosh x)) (sin y))) (* (cbrt 2) y))
137.0ms
(cbrt (+ (exp x) (exp (- x))))
0.0ms
(cbrt 2)

simplify104.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
06611902
136721505
250021473

prune444.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (+ (exp x) (exp (- x))))
1.0b
(cbrt (+ (exp x) (exp (- x))))
1.0b
(cbrt 2)
1.0b
(cbrt 2)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
12×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×flip3-+ flip-+ distribute-lft-out
Counts
4 → 58
Calls
4 calls:
5.0ms
(cbrt (+ (exp x) (exp (- x))))
5.0ms
(cbrt (+ (exp x) (exp (- x))))
0.0ms
(cbrt 2)
1.0ms
(cbrt 2)

series262.0ms

Counts
4 → 8
Calls
4 calls:
131.0ms
(cbrt (+ (exp x) (exp (- x))))
131.0ms
(cbrt (+ (exp x) (exp (- x))))
0.0ms
(cbrt 2)
0.0ms
(cbrt 2)

simplify106.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0167458
1639412
23545392
35002392

prune313.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes205.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
11111

end0.0ms

sample2.3s

Algorithm
intervals
Results
931.0ms3003×body1280valid
468.0ms2448×body640valid
388.0ms8637×body80valid
161.0ms1233×body320valid
60.0ms626×body160valid