Details

Time bar (total: 3.3s)

sample40.0ms

Algorithm
intervals
Results
22.0ms758×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750024

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
8.0b
(/ (* (cosh x) (/ y x)) z)

rewrite15.0ms

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:
0.0ms
(cosh x)
7.0ms
(* (cosh x) (/ y x))
5.0ms
(/ (* (cosh x) (/ y x)) z)

series236.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(cosh x)
77.0ms
(* (cosh x) (/ y x))
111.0ms
(/ (* (cosh x) (/ y x)) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0372414
11616354
25001354

prune166.0ms

Filtered
77 candidates to 59 candidates (76.6%)
Pruning

7 alts after pruning (6 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 (* x z)))
5.1b
(/ y (* x z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×times-frac
5×pow1 prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×cosh-def associate-*l* associate-/l* add-log-exp
2×div-inv
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
3 → 58
Calls
3 calls:
0.0ms
(cosh x)
9.0ms
(* (cosh x) (/ y (* x z)))
3.0ms
(/ y (* x z))

series177.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(cosh x)
110.0ms
(* (cosh x) (/ y (* x z)))
23.0ms
(/ y (* x z))

simplify38.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0286330
11185276
25002276

prune144.0ms

Filtered
67 candidates to 47 candidates (70.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (* (/ 1 x) (/ y z)))
5.6b
(* (/ 1 x) (/ y z))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
35×add-sqr-sqrt
33×add-cbrt-cube
25×times-frac prod-exp
20×*-un-lft-identity
18×add-cube-cbrt
16×div-exp associate-*l*
14×associate-*r*
13×cbrt-unprod
10×pow1
8×cbrt-undiv
6×frac-times associate-*r/ unswap-sqr
5×cosh-def
4×rec-exp 1-exp pow-prod-down associate-*l/
3×add-log-exp
2×*-commutative div-inv
Counts
3 → 99
Calls
3 calls:
1.0ms
(cosh x)
20.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
14.0ms
(* (/ 1 x) (/ y z))

series178.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(cosh x)
111.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
19.0ms
(* (/ 1 x) (/ y z))

simplify61.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0548613
12540493
25001460

prune199.0ms

Filtered
108 candidates to 69 candidates (63.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp (* -1 x)) (exp x))
0.4b
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
5.1b
(/ (* z x) y)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log add-cbrt-cube
16×times-frac
12×cbrt-undiv div-exp
11×*-un-lft-identity
10×associate-/r*
9×add-sqr-sqrt add-cube-cbrt
6×prod-exp cbrt-unprod
5×add-log-exp
4×div-inv
3×pow1
2×frac-2neg flip3-+ associate-*r/ clear-num flip-+ associate-/l/ associate-/l*
1×+-commutative sum-log associate-/r/ distribute-lft-out
Counts
3 → 73
Calls
3 calls:
4.0ms
(+ (exp (* -1 x)) (exp x))
10.0ms
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
3.0ms
(/ (* z x) y)

series149.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (exp (* -1 x)) (exp x))
105.0ms
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
17.0ms
(/ (* z x) y)

simplify59.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0441684
12493546
25001546

prune185.0ms

Filtered
82 candidates to 56 candidates (68.3%)
Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes229.0ms

Accuracy

95% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02214
12214

end0.0ms

sample1.2s

Algorithm
intervals
Results
786.0ms22237×body80valid