Details

Time bar (total: 3.3s)

sample36.0ms

Algorithm
intervals
Results
18.0ms699×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32284
44114
57864
624694
750024

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.8b
(/ (* (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)

series192.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (cosh x) (/ y x))
110.0ms
(/ (* (cosh x) (/ y x)) z)

simplify43.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0352391
11472333
25001333

prune214.0ms

Filtered
70 candidates to 53 candidates (75.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) y)
5.2b
(/ (* (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))

series173.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(* (cosh x) y)
108.0ms
(/ (* (cosh x) y) (* z x))

simplify39.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0289272
11392217
25001215

prune103.0ms

Filtered
51 candidates to 36 candidates (70.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.5b
(/ 1 (/ (* z x) (* (cosh x) y)))
5.1b
(/ (* z x) (* (cosh x) y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
35×add-cbrt-cube
26×div-exp
23×times-frac
18×add-sqr-sqrt
17×prod-exp
16×add-cube-cbrt *-un-lft-identity
13×cbrt-undiv
9×cbrt-unprod
7×associate-/r*
6×pow1 cosh-def associate-*l/ associate-/r/ div-inv
5×rec-exp 1-exp
4×associate-/l*
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow-flip pow-prod-down *-commutative inv-pow unswap-sqr
Counts
3 → 107
Calls
3 calls:
3.0ms
(* (cosh x) y)
8.0ms
(/ 1 (/ (* z x) (* (cosh x) y)))
4.0ms
(/ (* z x) (* (cosh x) y))

series333.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* (cosh x) y)
146.0ms
(/ 1 (/ (* z x) (* (cosh x) y)))
120.0ms
(/ (* z x) (* (cosh x) y))

simplify72.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0501797
12656643
25002606

prune171.0ms

Filtered
116 candidates to 61 candidates (52.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.3b
(/ 1 (* z x))
5.9b
(* (* (cosh x) y) (/ 1 (* z x)))

rewrite28.0ms

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
10×associate-*r*
9×add-cube-cbrt *-un-lft-identity
6×cbrt-undiv rec-exp times-frac 1-exp
5×pow-prod-down
4×associate-*l* associate-*l/
3×expm1-log1p-u cosh-def log1p-expm1-u associate-/l* add-log-exp
2×pow-flip *-commutative div-inv
1×frac-times frac-2neg associate-*r/ clear-num associate-/r* un-div-inv inv-pow unswap-sqr
Counts
3 → 95
Calls
3 calls:
3.0ms
(* (cosh x) y)
4.0ms
(/ 1 (* z x))
18.0ms
(* (* (cosh x) y) (/ 1 (* z x)))

series188.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(* (cosh x) y)
10.0ms
(/ 1 (* z x))
111.0ms
(* (* (cosh x) y) (/ 1 (* z x)))

simplify53.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0429527
12065423
25001406

prune149.0ms

Filtered
104 candidates to 56 candidates (53.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes227.0ms

Accuracy

94.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.2b

bsearch92.0ms

Steps
ItersRangePoint
10
2.460636322400972e-53
1.168734042243716e-36
4.155789694367877e-38
7
-2.0825322668708006e-48
-9.425210138749812e-50
-1.288408218506567e-48

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0259
1259

end0.0ms

sample1.1s

Algorithm
intervals
Results
612.0ms22307×body80valid