Details

Time bar (total: 3.7s)

sample58.0ms

Algorithm
intervals
Results
33.0ms682×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
8.0b
(/ (* (cosh x) (/ y x)) z)

rewrite14.0ms

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))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series176.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(* (cosh x) (/ y x))
104.0ms
(/ (* (cosh x) (/ y x)) z)

simplify42.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0345374
11456317
25001317

prune155.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) y)
6.9b
(/ (* (cosh x) y) (* z x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
6×add-sqr-sqrt
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt *-un-lft-identity div-exp
3×associate-*r* associate-*l*
2×cosh-def associate-*l/ add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
2 → 41
Calls
2 calls:
4.0ms
(* (cosh x) y)
6.0ms
(/ (* (cosh x) y) (* z x))

series177.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* (cosh x) y)
110.0ms
(/ (* (cosh x) y) (* z x))

simplify39.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0281258
11374203
25001203

prune99.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.0b
(/ (* (cosh x) y) z)
6.6b
(/ (/ (* (cosh x) y) z) x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
5×pow1
3×associate-*r* associate-*l* prod-exp cbrt-unprod add-log-exp
2×cosh-def frac-2neg associate-*l/ clear-num associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
3 → 89
Calls
3 calls:
4.0ms
(* (cosh x) y)
4.0ms
(/ (* (cosh x) y) z)
6.0ms
(/ (/ (* (cosh x) y) z) x)

series254.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(* (cosh x) y)
79.0ms
(/ (* (cosh x) y) z)
113.0ms
(/ (/ (* (cosh x) y) z) x)

simplify51.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0425595
11824526
25001510

prune214.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cosh x) y)
0.0b
(/ (* (cosh x) y) z)
0.2b
(/ 1 (/ x (/ (* (cosh x) y) z)))
6.6b
(/ x (/ (* (cosh x) y) z))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
109×add-sqr-sqrt
107×add-cube-cbrt *-un-lft-identity
54×add-exp-log
36×associate-/r*
34×add-cbrt-cube
30×div-exp
23×div-inv
16×cbrt-undiv
7×pow1 associate-/l*
6×prod-exp associate-/r/
4×rec-exp 1-exp cbrt-unprod add-log-exp
3×frac-2neg associate-*r* associate-*l* clear-num
2×cosh-def associate-*l/
1×pow-flip pow-prod-down *-commutative associate-/l/ inv-pow unswap-sqr
Counts
4 → 225
Calls
4 calls:
4.0ms
(* (cosh x) y)
5.0ms
(/ (* (cosh x) y) z)
14.0ms
(/ 1 (/ x (/ (* (cosh x) y) z)))
6.0ms
(/ x (/ (* (cosh x) y) z))

series392.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (cosh x) y)
80.0ms
(/ (* (cosh x) y) z)
113.0ms
(/ 1 (/ x (/ (* (cosh x) y) z)))
136.0ms
(/ x (/ (* (cosh x) y) z))

simplify120.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
08731999
146021767
250011761

prune474.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes124.0ms

Accuracy

95.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.1b

bsearch97.0ms

Steps
ItersRangePoint
10
1.2205966420917861e-09
1034.289800400292
4.7098978055448117e-07
7
-1.2024896183206672e+17
-606286808183387.5
-1.240317582518452e+16

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02313
12313

end0.0ms

sample1.1s

Algorithm
intervals
Results
656.0ms22615×body80valid