Details

Time bar (total: 3.2s)

sample35.0ms

Algorithm
intervals
Results
18.0ms701×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:
11.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series204.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* (cosh x) (/ y x))
119.0ms
(/ (* (cosh x) (/ y x)) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0345374
11456317
25001317

prune152.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
5.3b
(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite30.0ms

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×*-commutative div-inv add-log-exp unswap-sqr
1×un-div-inv
Counts
2 → 84
Calls
2 calls:
8.0ms
(* (cosh x) (/ y x))
18.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series204.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(* (cosh x) (/ y x))
119.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify57.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0515578
12463472
25002459

prune173.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* (cosh x) y) z)
0.0b
(* (cosh x) y)
5.0b
(/ (/ (* (cosh x) y) z) x)

rewrite17.0ms

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×associate-*r* associate-*l* prod-exp cbrt-unprod add-log-exp
2×cosh-def frac-2neg associate-*l/ clear-num associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
3 → 89
Calls
3 calls:
4.0ms
(/ (* (cosh x) y) z)
4.0ms
(* (cosh x) y)
6.0ms
(/ (/ (* (cosh x) y) z) x)

series285.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(/ (* (cosh x) y) z)
76.0ms
(* (cosh x) y)
121.0ms
(/ (/ (* (cosh x) y) z) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0425595
11824526
25001510

prune211.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y z))
5.0b
(/ (* (cosh x) (/ y z)) x)

rewrite16.0ms

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:
8.0ms
(* (cosh x) (/ y z))
6.0ms
(/ (* (cosh x) (/ y z)) x)

series201.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* (cosh x) (/ y z))
115.0ms
(/ (* (cosh x) (/ y z)) x)

simplify42.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0355376
11579319
25002319

prune125.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes174.0ms

Accuracy

95.2% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.7b

bsearch72.0ms

Steps
ItersRangePoint
8
2.1342576709609094e-48
7.354326544590892e-45
7.225664955895723e-45
6
-1.1764811684851881e+22
-8.930608612865615e+20
-1.948241059787097e+21

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample1.0s

Algorithm
intervals
Results
569.0ms22433×body80valid