Details

Time bar (total: 4.7s)

sample64.0ms

Algorithm
intervals
Results
46.0ms728×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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×frac-times associate-*r/ associate-*l/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 60
Calls
2 calls:
7.0ms
(* (cosh x) (/ y x))
5.0ms
(/ (* (cosh x) (/ y x)) z)

series195.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (cosh x) (/ y x))
113.0ms
(/ (* (cosh x) (/ y x)) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0345374
11456317
25001317

prune154.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite233.0ms

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 frac-2neg clear-num add-log-exp
1×cosh-def associate-/l/
Counts
2 → 267
Calls
2 calls:
13.0ms
(/ (cosh x) (/ z (/ y x)))
5.0ms
(/ z (/ y x))

series163.0ms

Counts
2 → 6
Calls
2 calls:
144.0ms
(/ (cosh x) (/ z (/ y x)))
19.0ms
(/ z (/ y x))

simplify58.0ms

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
011192717
150012614

prune733.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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×add-log-exp
1×frac-times cosh-def frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 78
Calls
2 calls:
2.0ms
(/ (cosh x) x)
16.0ms
(* (/ y z) (/ (cosh x) x))

series227.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ (cosh x) x)
148.0ms
(* (/ y z) (/ (cosh x) x))

simplify51.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0415506
11715452
25002451

prune197.0ms

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)

rewrite16.0ms

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×frac-times associate-*r/ associate-*l/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 60
Calls
2 calls:
8.0ms
(* (/ y z) (cosh x))
6.0ms
(/ (* (/ y z) (cosh x)) x)

series259.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(* (/ y z) (cosh x))
154.0ms
(/ (* (/ y z) (cosh x)) x)

simplify49.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0353371
11636313
25002297

prune132.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes103.0ms

Accuracy

86.9% (0.9b remaining)

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

bsearch117.0ms

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

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03316
13316

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.3s22017×body80valid