Details

Time bar (total: 7.1s)

sample78.0ms

Algorithm
intervals
Results
27.0ms95×body1280valid
16.0ms305×body80valid
15.0ms83×body640valid
4.0ms29×body320valid
2.0ms18×body160valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31394
42714
55204
614914
750014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) y)
0.0b
(sinh y)
0.0b
(* (sin x) (/ (sinh y) y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 74
Calls
3 calls:
2.0ms
(/ (sinh y) y)
0.0ms
(sinh y)
8.0ms
(* (sin x) (/ (sinh y) y))

series258.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(/ (sinh y) y)
61.0ms
(sinh y)
111.0ms
(* (sin x) (/ (sinh y) y))

simplify42.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0348444
11367399
25001397

prune187.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (/ y (sinh y)))
0.0b
(sinh y)
0.0b
(* (sin x) (/ 1 (/ y (sinh y))))
0.0b
(/ y (sinh y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
47×associate-*r*
36×add-exp-log
20×add-cbrt-cube
17×associate-/r*
15×div-exp
10×associate-/r/ div-inv
9×sinh-def
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 200
Calls
4 calls:
6.0ms
(/ 1 (/ y (sinh y)))
1.0ms
(sinh y)
22.0ms
(* (sin x) (/ 1 (/ y (sinh y))))
2.0ms
(/ y (sinh y))

series341.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ 1 (/ y (sinh y)))
61.0ms
(sinh y)
98.0ms
(* (sin x) (/ 1 (/ y (sinh y))))
94.0ms
(/ y (sinh y))

simplify85.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07271455
134981254
250011109

prune407.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (sinh y))
0.0b
(* (sin x) (/ 1 (cbrt (pow (/ y (sinh y)) 3))))
0.0b
(pow (/ y (sinh y)) 3)
0.0b
(cbrt (pow (/ y (sinh y)) 3))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
228×times-frac
168×add-sqr-sqrt
148×cbrt-prod
136×*-un-lft-identity
129×add-cube-cbrt
116×associate-*r*
74×unpow-prod-down cube-prod
18×add-exp-log
15×unswap-sqr
13×add-cbrt-cube
12×associate-/r/ div-inv
11×sinh-def
7×pow1 sqr-pow
5×cube-mult unpow3
4×expm1-log1p-u div-exp prod-exp log1p-expm1-u add-log-exp
3×cbrt-undiv cube-div pow-unpow associate-*l* associate-/r* associate-/l*
2×cbrt-div pow-exp cbrt-unprod rem-cube-cbrt
1×pow-to-exp rec-exp pow-pow frac-2neg pow1/3 1-exp associate-*r/ pow-prod-down clear-num un-div-inv *-commutative rem-cbrt-cube
Counts
4 → 279
Calls
4 calls:
2.0ms
(/ y (sinh y))
57.0ms
(* (sin x) (/ 1 (cbrt (pow (/ y (sinh y)) 3))))
4.0ms
(pow (/ y (sinh y)) 3)
4.0ms
(cbrt (pow (/ y (sinh y)) 3))

series458.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(/ y (sinh y))
121.0ms
(* (sin x) (/ 1 (cbrt (pow (/ y (sinh y)) 3))))
119.0ms
(pow (/ y (sinh y)) 3)
115.0ms
(cbrt (pow (/ y (sinh y)) 3))

simplify103.0ms

Algorithm
egg-herbie
Counts
291 → 291
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09541949
143331685
250021668

prune547.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (sinh y))
0.0b
(/ y (sinh y))
0.0b
(/ (sin x) (sqrt (/ y (sinh y))))
0.0b
(* (/ (sin x) (sqrt (/ y (sinh y)))) (/ 1 (cbrt (pow (/ y (sinh y)) (/ 3 2)))))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
365×times-frac
313×add-sqr-sqrt
181×*-un-lft-identity
161×add-cube-cbrt
120×sqrt-prod
86×cbrt-prod
67×associate-*r*
58×unpow-prod-down
56×associate-*l*
44×unswap-sqr
32×add-exp-log
23×associate-/r*
20×add-cbrt-cube
15×div-inv
14×associate-/r/
12×sinh-def
11×div-exp sqr-pow
9×associate-/l*
8×prod-exp
7×cbrt-undiv
6×pow1
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×rec-exp sqrt-div 1-exp
1×frac-times associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative
Counts
4 → 340
Calls
4 calls:
2.0ms
(/ y (sinh y))
2.0ms
(/ y (sinh y))
7.0ms
(/ (sin x) (sqrt (/ y (sinh y))))
93.0ms
(* (/ (sin x) (sqrt (/ y (sinh y)))) (/ 1 (cbrt (pow (/ y (sinh y)) (/ 3 2)))))

series498.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(/ y (sinh y))
95.0ms
(/ y (sinh y))
171.0ms
(/ (sin x) (sqrt (/ y (sinh y))))
136.0ms
(* (/ (sin x) (sqrt (/ y (sinh y)))) (/ 1 (cbrt (pow (/ y (sinh y)) (/ 3 2)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
352 → 352
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
017844767
150024516

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes97.0ms

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
074
174

end0.0ms

sample2.2s

Algorithm
intervals
Results
881.0ms3025×body1280valid
452.0ms2476×body640valid
361.0ms8607×body80valid
164.0ms1237×body320valid
54.0ms623×body160valid