Details

Time bar (total: 4.0s)

sample49.0ms

Algorithm
intervals
Results
26.0ms708×body80valid

simplify50.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.8b

Counts
2 → 1

localize9.0ms

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)

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×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)
7.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series223.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(cosh x)
75.0ms
(* (cosh x) (/ y x))
107.0ms
(/ (* (cosh x) (/ y x)) z)

simplify49.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0372414
11616354
25001354

prune158.0ms

Filtered
77 candidates to 59 candidates (76.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New671077
Fresh000
Picked101
Done000
Total681078

Merged error: 0.0b

Counts
78 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.2b
(* (* (cosh x) y) (/ 1 x))
7.3b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
33×add-cbrt-cube
24×prod-exp
17×div-exp
13×associate-*r*
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac cbrt-unprod
9×cbrt-undiv
8×pow1
6×associate-*l/
5×cosh-def
4×rec-exp 1-exp associate-/l/
3×pow-prod-down associate-/r* add-log-exp
2×frac-times associate-*r/ un-div-inv div-inv
1×frac-2neg associate-*l* clear-num *-commutative associate-/l*
Counts
3 → 83
Calls
3 calls:
1.0ms
(cosh x)
12.0ms
(* (* (cosh x) y) (/ 1 x))
9.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series225.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(cosh x)
75.0ms
(* (* (cosh x) y) (/ 1 x))
108.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify62.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0500562
12604434
25002420

prune331.0ms

Filtered
92 candidates to 55 candidates (59.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New90292
Fresh549
Picked011
Done000
Total957102

Merged error: 0.0b

Counts
102 → 7

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(/ z (* (cosh x) y))
0.2b
(/ 1 (* (/ z (* (cosh x) y)) x))
6.6b
(* (/ z (* (cosh x) y)) x)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
32×add-cbrt-cube
18×div-exp
17×prod-exp
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×cbrt-undiv
9×pow1 times-frac cbrt-unprod
8×associate-*l*
6×associate-/l*
4×rec-exp 1-exp associate-*l/ add-log-exp
3×cosh-def associate-*r* associate-/r/ div-inv
2×pow-flip frac-2neg pow-prod-down clear-num associate-/r*
1×*-commutative inv-pow unswap-sqr
Counts
4 → 95
Calls
4 calls:
1.0ms
(cosh x)
4.0ms
(/ z (* (cosh x) y))
7.0ms
(/ 1 (* (/ z (* (cosh x) y)) x))
7.0ms
(* (/ z (* (cosh x) y)) x)

series387.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(cosh x)
84.0ms
(/ z (* (cosh x) y))
141.0ms
(/ 1 (* (/ z (* (cosh x) y)) x))
118.0ms
(* (/ z (* (cosh x) y)) x)

simplify54.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0463631
12104525
25003519

prune155.0ms

Filtered
107 candidates to 67 candidates (62.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1061107
Fresh055
Picked011
Done011
Total1068114

Merged error: 0b

Counts
114 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(/ z (* (cosh x) y))
0.6b
(/ 1 (/ z (* (cosh x) y)))
6.1b
(/ (/ 1 (/ z (* (cosh x) y))) x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
258×times-frac
113×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
62×add-exp-log
36×div-exp
35×associate-/l*
32×add-cbrt-cube
23×div-inv
22×associate-/r/
18×cosh-def
17×associate-*l/
16×cbrt-undiv
12×associate-/r*
7×prod-exp
6×rec-exp 1-exp
5×pow1
4×add-log-exp
3×frac-2neg clear-num cbrt-unprod
1×pow-flip associate-/l/ inv-pow
Counts
4 → 234
Calls
4 calls:
1.0ms
(cosh x)
4.0ms
(/ z (* (cosh x) y))
6.0ms
(/ 1 (/ z (* (cosh x) y)))
15.0ms
(/ (/ 1 (/ z (* (cosh x) y))) x)

series383.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cosh x)
95.0ms
(/ z (* (cosh x) y))
103.0ms
(/ 1 (/ z (* (cosh x) y)))
144.0ms
(/ (/ 1 (/ z (* (cosh x) y))) x)

simplify108.0ms

Algorithm
egg-herbie
Counts
246 → 246
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
09612124
145351833
250011826

prune377.0ms

Filtered
246 candidates to 158 candidates (64.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2451246
Fresh145
Picked011
Done112
Total2477254

Merged error: 0b

Counts
254 → 7

regimes110.0ms

Accuracy

96.2% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 7.5b

bsearch79.0ms

Steps
ItersRangePoint
9
4.1340642299952195e-15
1.1626160181650066e-06
2.8572140074129217e-09
7
-2.4746379252737152e-24
-2.4108944168726575e-26
-1.1566766234493257e-25

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0249
1249

end0.0ms

sample1.1s

Algorithm
intervals
Results
608.0ms22445×body80valid

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