Details

Time bar (total: 3.4s)

analyze350.0ms

Algorithm
search

sample32.0ms

Algorithm
intervals
Results
10.0ms239×body80invalid
8.0ms256×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.3b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
7.8b
(/ (* (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)
6.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series53.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
19.0ms
(* (cosh x) (/ y x))
28.0ms
(/ (* (cosh x) (/ y x)) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0365414
11576354
25001354

prune101.0ms

Filtered
59 candidates to 77 candidates (-30.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New68977
Fresh000
Picked101
Done000
Total69978

Merged error: 0.1b

Counts
78 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) y)
6.9b
(/ (* (cosh x) y) (* z x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
5×pow1 add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×cosh-def associate-*r* associate-*l* add-log-exp
2×associate-*l/
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 49
Calls
3 calls:
1.0ms
(cosh x)
3.0ms
(* (cosh x) y)
6.0ms
(/ (* (cosh x) y) (* z x))

series47.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
14.0ms
(* (cosh x) y)
27.0ms
(/ (* (cosh x) y) (* z x))

simplify39.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0297298
11422240
25001240

prune71.0ms

Filtered
41 candidates to 58 candidates (-41.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New56258
Fresh358
Picked011
Done000
Total59867

Merged error: 0.0b

Counts
67 → 8

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
26×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
20×add-exp-log add-cbrt-cube
8×associate-/l*
7×cbrt-undiv div-exp
6×pow1 associate-/r* div-inv
4×add-log-exp
3×cosh-def associate-*r* associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ clear-num associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
4 → 97
Calls
4 calls:
4.0ms
(/ (* (cosh x) y) z)
1.0ms
(cosh x)
4.0ms
(* (cosh x) y)
6.0ms
(/ (/ (* (cosh x) y) z) x)

series72.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (* (cosh x) y) z)
6.0ms
(cosh x)
14.0ms
(* (cosh x) y)
27.0ms
(/ (/ (* (cosh x) y) z) x)

simplify53.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0439635
11867563
25002563

prune110.0ms

Filtered
85 candidates to 109 candidates (-28.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1054109
Fresh336
Picked011
Done101
Total1098117

Merged error: 0b

Counts
117 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
2.7b
(/ (/ y (cbrt z)) x)
3.6b
(* (/ (cosh x) (* (cbrt z) (cbrt z))) (/ (/ y (cbrt z)) x))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
275×times-frac
171×add-sqr-sqrt
145×add-cube-cbrt *-un-lft-identity
71×cbrt-prod
70×associate-*r*
45×add-exp-log
35×add-cbrt-cube
22×associate-/l*
18×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×div-inv
8×unswap-sqr
7×associate-*l*
6×pow1
4×add-log-exp
3×associate-/r*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 243
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
7.0ms
(/ (/ y (cbrt z)) x)
27.0ms
(* (/ (cosh x) (* (cbrt z) (cbrt z))) (/ (/ y (cbrt z)) x))

series101.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
24.0ms
(cbrt z)
21.0ms
(/ (/ y (cbrt z)) x)
34.0ms
(* (/ (cosh x) (* (cbrt z) (cbrt z))) (/ (/ y (cbrt z)) x))

simplify48.0ms

Algorithm
egg-herbie
Counts
255 → 255
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
012122561
150012369

prune208.0ms

Filtered
219 candidates to 255 candidates (-16.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2550255
Fresh066
Picked011
Done011
Total2558263

Merged error: 0b

Counts
263 → 8

regimes201.0ms

Accuracy

94.4% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 7.1b

bsearch534.0ms

Steps
ItersRangePoint
8
3.842239736398743e-61
1.6143111513746365e-57
1.5843615183624933e-57
8
-0.02070365195098861
-3.7779604373489225e-06
-0.004041361227697597

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02312
12312

end0.0ms

analyze348.0ms

Algorithm
search

sample783.0ms

Algorithm
intervals
Results
249.0ms8000×body80valid
231.0ms7160×body80invalid

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