Details

Time bar (total: 5.5s)

sample43.0ms

Algorithm
intervals
Results
19.0ms754×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750024

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.8b
(/ (* (cosh x) (/ y x)) z)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/
2×frac-times associate-*r/ associate-*l/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 60
Calls
2 calls:
14.0ms
(* (cosh x) (/ y x))
13.0ms
(/ (* (cosh x) (/ y x)) z)

series197.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (cosh x) (/ y x))
115.0ms
(/ (* (cosh x) (/ y x)) z)

simplify42.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0345374
11456317
25001317

prune149.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.2b
(* (* (cosh x) y) (/ 1 x))
6.8b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
35×add-cbrt-cube
25×prod-exp
17×div-exp
16×add-sqr-sqrt associate-*r*
14×add-cube-cbrt *-un-lft-identity
13×cbrt-unprod
12×times-frac
10×pow1
9×cbrt-undiv
7×associate-*l/
5×cosh-def
4×rec-exp 1-exp associate-*l* pow-prod-down associate-/l/
3×associate-/r* add-log-exp
2×frac-times associate-*r/ un-div-inv *-commutative div-inv
1×frac-2neg clear-num associate-/l* unswap-sqr
Counts
3 → 94
Calls
3 calls:
8.0ms
(* (cosh x) y)
28.0ms
(* (* (cosh x) y) (/ 1 x))
26.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series276.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(* (cosh x) y)
82.0ms
(* (* (cosh x) y) (/ 1 x))
117.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify69.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0522611
12707476
25001462

prune174.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.9b
(* (/ (* (cosh x) y) (* (cbrt z) (cbrt z))) (/ (/ 1 x) (cbrt z)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
143×times-frac
119×add-exp-log
99×add-sqr-sqrt
82×associate-*r*
79×*-un-lft-identity
77×add-cube-cbrt
51×cbrt-prod add-cbrt-cube
50×div-exp
45×prod-exp
27×cbrt-undiv cbrt-unprod
8×div-inv
7×unswap-sqr
6×pow1
5×rec-exp 1-exp associate-*l*
4×add-log-exp
3×pow1/3
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 179
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
77.0ms
(* (/ (* (cosh x) y) (* (cbrt z) (cbrt z))) (/ (/ 1 x) (cbrt z)))

series683.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt z)
180.0ms
(cbrt z)
187.0ms
(cbrt z)
136.0ms
(* (/ (* (cosh x) y) (* (cbrt z) (cbrt z))) (/ (/ 1 x) (cbrt z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011522183
150011778

prune507.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.9b
(* (/ (cosh x) (cbrt z)) (* (/ y (cbrt z)) (/ (/ 1 x) (cbrt z))))
4.2b
(* (/ y (cbrt z)) (/ (/ 1 x) (cbrt z)))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
212×times-frac
181×add-sqr-sqrt
144×add-exp-log
107×*-un-lft-identity
101×add-cube-cbrt
83×associate-*r*
79×cbrt-prod
62×div-exp add-cbrt-cube
52×prod-exp
44×associate-*l*
34×cbrt-undiv
32×cbrt-unprod
21×unswap-sqr
11×pow1
9×div-inv
6×frac-times rec-exp 1-exp associate-*r/
4×pow-prod-down associate-*l/ add-log-exp
2×pow1/3 *-commutative
Counts
4 → 251
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
71.0ms
(* (/ (cosh x) (cbrt z)) (* (/ y (cbrt z)) (/ (/ 1 x) (cbrt z))))
69.0ms
(* (/ y (cbrt z)) (/ (/ 1 x) (cbrt z)))

series824.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt z)
340.0ms
(cbrt z)
165.0ms
(* (/ (cosh x) (cbrt z)) (* (/ y (cbrt z)) (/ (/ 1 x) (cbrt z))))
139.0ms
(* (/ y (cbrt z)) (/ (/ 1 x) (cbrt z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
263 → 263
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
014182633
150012285

prune661.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes135.0ms

Accuracy

95% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.5b

bsearch66.0ms

Steps
ItersRangePoint
8
0.3420744994426792
6031.575547282502
60.43938048611113
6
-440562903.10977197
-29667794.37435912
-261095818.64175868

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02514
12514

end0.0ms

sample1.2s

Algorithm
intervals
Results
566.0ms22179×body80valid