Details

Time bar (total: 3.8s)

sample36.0ms

Algorithm
intervals
Results
19.0ms722×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32284
44114
57864
624694
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.3b
(/ (* (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×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 64
Calls
2 calls:
7.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series192.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(* (cosh x) (/ y x))
118.0ms
(/ (* (cosh x) (/ y x)) z)

simplify42.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0352391
11472333
25001333

prune163.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.2b
(* (* (cosh x) y) (/ 1 x))
6.3b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite25.0ms

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×expm1-log1p-u associate-/r* log1p-expm1-u 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 → 100
Calls
3 calls:
4.0ms
(* (cosh x) y)
8.0ms
(* (* (cosh x) y) (/ 1 x))
9.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series447.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(* (cosh x) y)
265.0ms
(* (* (cosh x) y) (/ 1 x))
113.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify67.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0532637
12730501
25002485

prune200.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (* (cosh x) y))
0.0b
(* (cosh x) y)
0.4b
(/ 1 (* (/ z (* (cosh x) y)) x))
5.8b
(* (/ z (* (cosh x) y)) x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
34×add-cbrt-cube
18×div-exp prod-exp
17×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
11×pow1 associate-*l*
10×cbrt-undiv cbrt-unprod
9×times-frac
6×associate-*r* associate-/l*
5×associate-*l/
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×cosh-def pow-prod-down associate-/r/ div-inv
2×pow-flip frac-2neg clear-num associate-/r* *-commutative unswap-sqr
1×inv-pow
Counts
4 → 114
Calls
4 calls:
4.0ms
(/ z (* (cosh x) y))
4.0ms
(* (cosh x) y)
8.0ms
(/ 1 (* (/ z (* (cosh x) y)) x))
7.0ms
(* (/ z (* (cosh x) y)) x)

series423.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ z (* (cosh x) y))
69.0ms
(* (cosh x) y)
146.0ms
(/ 1 (* (/ z (* (cosh x) y)) x))
119.0ms
(* (/ z (* (cosh x) y)) x)

simplify61.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0498714
12233598
25002590

prune229.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* (cosh x) y) z)
0.0b
(* (cosh x) y)
5.6b
(* (/ (* (cosh x) y) z) (/ 1 x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
31×add-cbrt-cube
25×add-sqr-sqrt
18×prod-exp
17×*-un-lft-identity times-frac
16×add-cube-cbrt div-exp associate-*r*
10×associate-*l* cbrt-unprod
9×cbrt-undiv
7×pow1
4×unswap-sqr
3×expm1-log1p-u rec-exp 1-exp associate-*l/ associate-/r* log1p-expm1-u div-inv add-log-exp
2×cosh-def pow-prod-down *-commutative
1×frac-times frac-2neg associate-*r/ clear-num un-div-inv associate-/l/ associate-/l*
Counts
3 → 101
Calls
3 calls:
5.0ms
(/ (* (cosh x) y) z)
4.0ms
(* (cosh x) y)
10.0ms
(* (/ (* (cosh x) y) z) (/ 1 x))

series258.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(/ (* (cosh x) y) z)
68.0ms
(* (cosh x) y)
108.0ms
(* (/ (* (cosh x) y) z) (/ 1 x))

simplify67.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0533660
12580541
25001522

prune212.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes213.0ms

Accuracy

95.5% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 7.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02821
12821

end0.0ms

sample1.0s

Algorithm
intervals
Results
600.0ms22486×body80valid