Details

Time bar (total: 4.6s)

sample38.0ms

Algorithm
intervals
Results
20.0ms757×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 7.5b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.0b
(/ (* (cosh x) (/ y x)) z)

rewrite15.0ms

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×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 64
Calls
2 calls:
7.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series190.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* (cosh x) (/ y x))
113.0ms
(/ (* (cosh x) (/ y x)) z)

simplify41.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0352391
11472333
25001333

prune155.0ms

Filtered
70 candidates to 53 candidates (75.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New61970
Fresh000
Picked101
Done000
Total62971

Merged error: 0.0b

Counts
71 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (cosh x) (/ z (/ y x)))
6.8b
(/ z (/ y x))

rewrite34.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×cosh-def associate-/l/
Counts
2 → 271
Calls
2 calls:
12.0ms
(/ (cosh x) (/ z (/ y x)))
6.0ms
(/ z (/ y x))

series157.0ms

Counts
2 → 6
Calls
2 calls:
138.0ms
(/ (cosh x) (/ z (/ y x)))
18.0ms
(/ z (/ y x))

simplify55.0ms

Algorithm
egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011262732
150022629

prune694.0ms

Filtered
277 candidates to 239 candidates (86.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2725277
Fresh628
Picked011
Done000
Total2788286

Merged error: 0b

Counts
286 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (cosh x) x)
7.5b
(* (/ y z) (/ (cosh x) x))

rewrite16.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times cosh-def frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 82
Calls
2 calls:
3.0ms
(/ (cosh x) x)
9.0ms
(* (/ y z) (/ (cosh x) x))

series224.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(/ (cosh x) x)
148.0ms
(* (/ y z) (/ (cosh x) x))

simplify46.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0423520
11734465
25001462

prune195.0ms

Filtered
88 candidates to 69 candidates (78.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New88088
Fresh066
Picked011
Done011
Total88896

Merged error: 0b

Counts
96 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))
0.2b
(/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (/ x y))
7.0b
(/ (/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (/ x y)) z)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
471×times-frac
230×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×associate-/l*
22×div-inv
17×add-exp-log add-cbrt-cube
16×associate-/r*
9×cbrt-undiv div-exp
5×associate-/r/
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×fma-udef associate-/l/
Counts
3 → 280
Calls
3 calls:
1.0ms
(fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))
6.0ms
(/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (/ x y))
12.0ms
(/ (/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (/ x y)) z)

series241.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))
78.0ms
(/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (/ x y))
115.0ms
(/ (/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (/ x y)) z)

simplify75.0ms

Algorithm
egg-herbie
Counts
289 → 289
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011814690
150014522

prune1.0s

Filtered
289 candidates to 252 candidates (87.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2890289
Fresh055
Picked011
Done022
Total2898297

Merged error: 0b

Counts
297 → 8

regimes124.0ms

Accuracy

95.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 8.0b

bsearch92.0ms

Steps
ItersRangePoint
9
5.453812542321354e-21
2.6897754552082827e-15
5.3888295765054384e-20
9
-4.5508278958050887e-29
-7.480402156972941e-37
-3.978097055277594e-29

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02312
12312

end0.0ms

sample1.0s

Algorithm
intervals
Results
583.0ms22500×body80valid