Details

Time bar (total: 3.4s)

sample41.0ms

Algorithm
intervals
Results
23.0ms747×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32284
44114
57864
624694
750024

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.5b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
8.1b
(/ (* (cosh x) (/ y x)) z)

rewrite16.0ms

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×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u 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 → 74
Calls
3 calls:
1.0ms
(cosh x)
6.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series228.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(cosh x)
75.0ms
(* (cosh x) (/ y x))
111.0ms
(/ (* (cosh x) (/ y x)) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0383433
11634372
25001368

prune328.0ms

Filtered
83 candidates to 65 candidates (78.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New78583
Fresh000
Picked011
Done000
Total78684

Merged error: 0.0b

Counts
84 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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×expm1-log1p-u cosh-def associate-*l* log1p-expm1-u 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 → 64
Calls
3 calls:
7.0ms
(* (cosh x) (/ y (* x z)))
1.0ms
(cosh x)
4.0ms
(/ y (* x z))

series173.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(* (cosh x) (/ y (* x z)))
46.0ms
(cosh x)
19.0ms
(/ y (* x z))

simplify38.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0297347
11201293
25002289

prune121.0ms

Filtered
73 candidates to 53 candidates (72.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New70373
Fresh224
Picked011
Done011
Total72779

Merged error: 0.0b

Counts
79 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (* (/ 1 x) (/ y z)))
5.5b
(* (/ 1 x) (/ y z))

rewrite28.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
2×*-commutative div-inv
Counts
3 → 105
Calls
3 calls:
1.0ms
(cosh x)
12.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
10.0ms
(* (/ 1 x) (/ y z))

series174.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(cosh x)
109.0ms
(* (cosh x) (* (/ 1 x) (/ y z)))
19.0ms
(* (/ 1 x) (/ y z))

simplify65.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0559634
12562514
25003481

prune170.0ms

Filtered
114 candidates to 75 candidates (65.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1131114
Fresh044
Picked011
Done022
Total1138121

Merged error: 0b

Counts
121 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

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

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-*l*
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u 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 → 74
Calls
3 calls:
1.0ms
(cosh x)
6.0ms
(* (/ y z) (cosh x))
6.0ms
(/ (* (/ y z) (cosh x)) x)

series276.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(cosh x)
96.0ms
(* (/ y z) (cosh x))
138.0ms
(/ (* (/ y z) (cosh x)) x)

simplify46.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0386430
11753368
25001347

prune136.0ms

Filtered
83 candidates to 64 candidates (77.1%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New82183
Fresh224
Picked011
Done033
Total84791

Merged error: 0b

Counts
91 → 7

regimes191.0ms

Accuracy

90.2% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 7.4b

bsearch81.0ms

Steps
ItersRangePoint
7
0.9276558878509649
121.55286302593997
12.118918496472462
7
-3.6022737641853874e-105
-1.5151894499378405e-106
-3.5390148929781315e-105

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample1.2s

Algorithm
intervals
Results
704.0ms22609×body80valid