Details

Time bar (total: 3.5s)

sample35.0ms

Algorithm
intervals
Results
18.0ms688×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: 7.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.9b
(/ (* (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:
7.0ms
(* (cosh x) (/ y x))
5.0ms
(/ (* (cosh x) (/ y x)) z)

series195.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* (cosh x) (/ y x))
116.0ms
(/ (* (cosh x) (/ y x)) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0352391
11472333
25001333

prune158.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.9b
(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite28.0ms

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×expm1-log1p-u *-commutative log1p-expm1-u div-inv add-log-exp unswap-sqr
1×un-div-inv
Counts
2 → 88
Calls
2 calls:
7.0ms
(* (cosh x) (/ y x))
17.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series190.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* (cosh x) (/ y x))
111.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify61.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0522597
12479490
25001477

prune188.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.3b
(* (* (cosh x) y) (/ 1 x))
6.9b
(* (* (* (cosh x) y) (/ 1 x)) (/ 1 z))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
164×add-exp-log
97×prod-exp
58×add-cbrt-cube
38×div-exp
29×associate-*r* cbrt-unprod
21×add-sqr-sqrt
19×pow1 add-cube-cbrt rec-exp *-un-lft-identity 1-exp
18×times-frac
14×associate-*l/
11×cbrt-undiv
10×pow-prod-down
7×frac-times cosh-def
5×associate-*l*
4×associate-*r/ un-div-inv
3×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×div-inv
1×unswap-sqr
Counts
3 → 146
Calls
3 calls:
3.0ms
(* (cosh x) y)
12.0ms
(* (* (cosh x) y) (/ 1 x))
35.0ms
(* (* (* (cosh x) y) (/ 1 x)) (/ 1 z))

series259.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(* (cosh x) y)
81.0ms
(* (* (cosh x) y) (/ 1 x))
114.0ms
(* (* (* (cosh x) y) (/ 1 x)) (/ 1 z))

simplify92.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
07771037
13813771
25001744

prune223.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

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) x)
3.0ms
(* (cosh x) y)
5.0ms
(/ (/ (* (cosh x) y) x) z)

series258.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(/ (* (cosh x) y) x)
68.0ms
(* (cosh x) y)
113.0ms
(/ (/ (* (cosh x) y) x) z)

simplify54.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0432615
11853545
25001543

prune215.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes161.0ms

Accuracy

90.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 7.5b

bsearch78.0ms

Steps
ItersRangePoint
9
7.823573749489227e-113
2.462178691395034e-107
2.437826030796542e-107
4
-2.4048977341445043e-11
-1.264038174969032e-11
-1.409727086676874e-11

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611
12611

end0.0ms

sample1.1s

Algorithm
intervals
Results
604.0ms22146×body80valid