Details

Time bar (total: 4.2s)

sample37.0ms

Algorithm
intervals
Results
19.0ms725×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.5b
(/ (* (cosh x) (/ y x)) z)

rewrite15.0ms

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:
7.0ms
(* (cosh x) (/ y x))
5.0ms
(/ (* (cosh x) (/ y x)) z)

series217.0ms

Counts
2 → 6
Calls
2 calls:
101.0ms
(* (cosh x) (/ y x))
116.0ms
(/ (* (cosh x) (/ y x)) z)

simplify41.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0345374
11456317
25001317

prune153.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.6b
(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
26×associate-*r*
22×add-sqr-sqrt prod-exp
19×times-frac
17×add-cube-cbrt *-un-lft-identity
12×cbrt-unprod
11×div-exp
9×pow1
6×cbrt-undiv frac-times cosh-def associate-*l/
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp
2×*-commutative div-inv add-log-exp unswap-sqr
1×un-div-inv
Counts
2 → 84
Calls
2 calls:
8.0ms
(* (cosh x) (/ y x))
20.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series193.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* (cosh x) (/ y x))
114.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify57.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0515578
12463472
25002459

prune169.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.2b
(* (* (cosh x) y) (/ 1 x))
7.5b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite32.0ms

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:
3.0ms
(* (cosh x) y)
11.0ms
(* (* (cosh x) y) (/ 1 x))
10.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series258.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(* (cosh x) y)
77.0ms
(* (* (cosh x) y) (/ 1 x))
112.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify66.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0522611
12707476
25001462

prune184.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
6.0b
(* (/ (* (cosh x) y) (* (cbrt z) (cbrt z))) (/ (/ 1 x) (cbrt z)))

rewrite66.0ms

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:
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)
53.0ms
(* (/ (* (cosh x) y) (* (cbrt z) (cbrt z))) (/ (/ 1 x) (cbrt z)))

series682.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt z)
176.0ms
(cbrt z)
181.0ms
(cbrt z)
140.0ms
(* (/ (* (cosh x) y) (* (cbrt z) (cbrt z))) (/ (/ 1 x) (cbrt z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011582183
150021778

prune503.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes185.0ms

Accuracy

93.3% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.4b

bsearch90.0ms

Steps
ItersRangePoint
8
6.473397747972622e+25
2.230252201773616e+28
1.7681549539272257e+26
8
-3.2905347544136413e-31
-2.3850332448985746e-35
-2.7439134532968955e-32

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03820
14020
24020

end0.0ms

sample1.0s

Algorithm
intervals
Results
586.0ms22168×body80valid