Details

Time bar (total: 3.1s)

sample35.0ms

Algorithm
intervals
Results
18.0ms713×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32284
44114
57864
624694
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
8.3b
(/ (* (cosh x) (/ y x)) z)

rewrite18.0ms

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

series191.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* (cosh x) (/ y x))
112.0ms
(/ (* (cosh x) (/ y x)) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0352391
11472333
25001333

prune166.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y (* x z)))
5.5b
(/ y (* x z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×expm1-log1p-u cosh-def log1p-expm1-u div-inv add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 54
Calls
2 calls:
9.0ms
(* (cosh x) (/ y (* x z)))
3.0ms
(/ y (* x z))

series131.0ms

Counts
2 → 6
Calls
2 calls:
111.0ms
(* (cosh x) (/ y (* x z)))
20.0ms
(/ y (* x z))

simplify40.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0266305
11075254
25001252

prune132.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ 1 (/ (* x z) y)))
0.3b
(/ 1 (/ (* x z) y))
5.5b
(/ (* x z) y)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
68×times-frac
61×add-exp-log
43×add-sqr-sqrt
37×*-un-lft-identity
36×add-cube-cbrt
31×add-cbrt-cube
26×div-exp associate-*r*
17×prod-exp
12×cbrt-undiv
10×associate-/r* div-inv
7×cbrt-unprod
6×pow1 rec-exp 1-exp
4×associate-/l*
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp unswap-sqr
2×cosh-def frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 142
Calls
3 calls:
20.0ms
(* (cosh x) (/ 1 (/ (* x z) y)))
6.0ms
(/ 1 (/ (* x z) y))
3.0ms
(/ (* x z) y)

series185.0ms

Counts
3 → 9
Calls
3 calls:
142.0ms
(* (cosh x) (/ 1 (/ (* x z) y)))
20.0ms
(/ 1 (/ (* x z) y))
23.0ms
(/ (* x z) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0527872
12619740
25001670

prune258.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (* y (/ 1 (* x z))))
0.3b
(/ 1 (* x z))
5.7b
(* y (/ 1 (* x z)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
13×pow1 cbrt-unprod
12×div-exp
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×associate-*r*
6×cbrt-undiv rec-exp times-frac 1-exp associate-*l*
5×associate-*r/ pow-prod-down
3×expm1-log1p-u cosh-def un-div-inv log1p-expm1-u associate-/l* add-log-exp
2×frac-times pow-flip *-commutative div-inv
1×frac-2neg associate-*l/ clear-num associate-/r* inv-pow unswap-sqr
Counts
3 → 97
Calls
3 calls:
27.0ms
(* (cosh x) (* y (/ 1 (* x z))))
4.0ms
(/ 1 (* x z))
15.0ms
(* y (/ 1 (* x z)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
117.0ms
(* (cosh x) (* y (/ 1 (* x z))))
12.0ms
(/ 1 (* x z))
20.0ms
(* y (/ 1 (* x z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0376508
11658405
25001395

prune162.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes123.0ms

Accuracy

95.7% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.4b

bsearch99.0ms

Steps
ItersRangePoint
8
3612599134.984006
47951745765536.695
5673807207157.217
10
-1398402063.149054
-0.0005285884636020225
-147933744.31255263

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03112
13112

end0.0ms

sample1.0s

Algorithm
intervals
Results
588.0ms22177×body80valid