Details

Time bar (total: 4.6s)

sample63.0ms

Algorithm
intervals
Results
43.0ms728×body80valid

simplify64.0ms

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: 6.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.2b
(/ (* (cosh x) (/ y x)) z)

rewrite17.0ms

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))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series197.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* (cosh x) (/ y x))
117.0ms
(/ (* (cosh x) (/ y x)) z)

simplify48.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0352391
11472333
25001333

prune168.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (cosh x) (/ z (/ y x)))
5.9b
(/ z (/ y x))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
229×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
57×associate-/r*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r/ associate-/l*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×cosh-def associate-/l/
Counts
2 → 271
Calls
2 calls:
13.0ms
(/ (cosh x) (/ z (/ y x)))
5.0ms
(/ z (/ y x))

series157.0ms

Counts
2 → 6
Calls
2 calls:
137.0ms
(/ (cosh x) (/ z (/ y x)))
20.0ms
(/ z (/ y x))

simplify61.0ms

Algorithm
egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
011262732
150012629

prune756.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (cosh x) x)
4.9b
(* (/ y z) (/ (cosh x) x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
31×times-frac
24×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-*r* associate-*l*
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod unswap-sqr
3×associate-/r* div-inv associate-/l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times cosh-def frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 82
Calls
2 calls:
3.0ms
(/ (cosh x) x)
14.0ms
(* (/ y z) (/ (cosh x) x))

series229.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ (cosh x) x)
156.0ms
(* (/ y z) (/ (cosh x) x))

simplify55.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0423520
11734465
25001462

prune207.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ y z) (cosh x))
4.8b
(/ (* (/ y z) (cosh x)) x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*l*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-*r* 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:
9.0ms
(* (/ y z) (cosh x))
7.0ms
(/ (* (/ y z) (cosh x)) x)

series264.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(* (/ y z) (cosh x))
157.0ms
(/ (* (/ y z) (cosh x)) x)

simplify46.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0360388
11657329
25001312

prune142.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes106.0ms

Accuracy

86.3% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 6.6b

bsearch109.0ms

Steps
ItersRangePoint
7
1.3903327578736298e-57
2.0450184777156888e-55
1.4502045605748618e-55
8
-1.8862789899346506e+87
-4.778064751034553e+84
-4.843832162809963e+84

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03316
13316

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.3s22017×body80valid