Details

Time bar (total: 4.1s)

sample52.0ms

Algorithm
intervals
Results
33.0ms746×body80valid

simplify56.0ms

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: 10.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
9.9b
(/ (* (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:
8.0ms
(* (cosh x) (/ y x))
5.0ms
(/ (* (cosh x) (/ y x)) z)

series184.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* (cosh x) (/ y x))
108.0ms
(/ (* (cosh x) (/ y x)) z)

simplify42.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0352391
11472333
25001333

prune163.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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×expm1-log1p-u cosh-def associate-*l/ log1p-expm1-u 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 → 45
Calls
2 calls:
3.0ms
(* (cosh x) y)
5.0ms
(/ (* (cosh x) y) (* z x))

series178.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* (cosh x) y)
109.0ms
(/ (* (cosh x) y) (* z x))

simplify40.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0289272
11392217
25001215

prune103.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.0b
(/ (* (cosh x) y) z)
4.2b
(/ (/ (* (cosh x) y) z) x)

rewrite18.0ms

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×expm1-log1p-u associate-*r* associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×cosh-def frac-2neg associate-*l/ clear-num associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
3 → 95
Calls
3 calls:
3.0ms
(* (cosh x) y)
3.0ms
(/ (* (cosh x) y) z)
8.0ms
(/ (/ (* (cosh x) y) z) x)

series259.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(* (cosh x) y)
80.0ms
(/ (* (cosh x) y) z)
111.0ms
(/ (/ (* (cosh x) y) z) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0435617
11846547
25001545

prune223.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

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)))
4.2b
(/ x (/ (* (cosh x) y) z))

rewrite59.0ms

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×expm1-log1p-u rec-exp 1-exp cbrt-unprod log1p-expm1-u 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 → 233
Calls
4 calls:
5.0ms
(* (cosh x) y)
6.0ms
(/ (* (cosh x) y) z)
18.0ms
(/ 1 (/ x (/ (* (cosh x) y) z)))
8.0ms
(/ x (/ (* (cosh x) y) z))

series397.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (cosh x) y)
83.0ms
(/ (* (cosh x) y) z)
111.0ms
(/ 1 (/ x (/ (* (cosh x) y) z)))
135.0ms
(/ x (/ (* (cosh x) y) z))

simplify105.0ms

Algorithm
egg-herbie
Counts
245 → 245
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
08852033
146271800
250011799

prune468.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes99.0ms

Accuracy

95.5% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.6b

bsearch98.0ms

Steps
ItersRangePoint
8
3.841573222252614e-22
5.462156434634667e-19
7.939280672370769e-20
10
-3.4749023624896744e+25
-98754945372.02615
-5.09313007105239e+18

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.0s22327×body80valid