Details

Time bar (total: 3.6s)

sample44.0ms

Algorithm
intervals
Results
19.0ms746×body80valid

simplify59.0ms

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: 7.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
7.3b
(/ (* (cosh x) (/ y x)) z)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/ add-log-exp
2×frac-times associate-*r/ associate-*l/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
3 → 68
Calls
3 calls:
1.0ms
(cosh x)
19.0ms
(* (cosh x) (/ y x))
14.0ms
(/ (* (cosh x) (/ y x)) z)

series220.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(cosh x)
74.0ms
(* (cosh x) (/ y x))
106.0ms
(/ (* (cosh x) (/ y x)) z)

simplify49.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0372414
11616354
25001354

prune183.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
7.4b
(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
29×add-cbrt-cube
26×associate-*r*
23×add-sqr-sqrt
22×prod-exp
19×times-frac
18×add-cube-cbrt *-un-lft-identity
12×cbrt-unprod
11×div-exp
10×pow1
7×cosh-def
6×cbrt-undiv frac-times associate-*l/
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp add-log-exp
2×*-commutative div-inv unswap-sqr
1×un-div-inv
Counts
3 → 92
Calls
3 calls:
1.0ms
(cosh x)
15.0ms
(* (cosh x) (/ y x))
36.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series218.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(cosh x)
67.0ms
(* (cosh x) (/ y x))
106.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify68.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0542618
12692509
25001471

prune201.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
14×add-exp-log add-cbrt-cube
7×associate-/l*
5×pow1 cbrt-undiv div-exp div-inv
3×associate-*r* associate-*l* associate-/r* add-log-exp
2×cosh-def prod-exp cbrt-unprod
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l/ unswap-sqr
Counts
3 → 75
Calls
3 calls:
1.0ms
(cosh x)
8.0ms
(* (cosh x) y)
13.0ms
(/ (/ (* (cosh x) y) z) x)

series207.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(cosh x)
65.0ms
(* (cosh x) y)
103.0ms
(/ (/ (* (cosh x) y) z) x)

simplify53.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0415509
11786458
25001458

prune197.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) y)
5.4b
(* (/ (* (cosh x) y) z) (/ 1 x))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log
26×add-cbrt-cube
23×add-sqr-sqrt
17×prod-exp
16×associate-*r*
15×*-un-lft-identity
14×add-cube-cbrt times-frac div-exp
10×associate-*l*
9×cbrt-unprod
7×pow1 cbrt-undiv
4×unswap-sqr
3×rec-exp 1-exp add-log-exp
2×cosh-def pow-prod-down associate-*l/ *-commutative div-inv
1×frac-times associate-*r/ un-div-inv
Counts
3 → 81
Calls
3 calls:
1.0ms
(cosh x)
8.0ms
(* (cosh x) y)
32.0ms
(* (/ (* (cosh x) y) z) (/ 1 x))

series206.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(cosh x)
64.0ms
(* (cosh x) y)
103.0ms
(* (/ (* (cosh x) y) z) (/ 1 x))

simplify59.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0503550
12361450
25001434

prune171.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

96.6% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 7.3b

bsearch71.0ms

Steps
ItersRangePoint
8
3.7882547797662947e-28
1.957456319457054e-24
3.033555916031553e-25
6
-8.645478429844785e-08
-7.56002747180116e-09
-3.383191592887116e-08

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample1.2s

Algorithm
intervals
Results
584.0ms22383×body80valid