Details

Time bar (total: 3.1s)

sample53.0ms

Algorithm
intervals
Results
23.0ms706×body80valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049808
149808

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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×frac-times associate-*r/ associate-*l/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 60
Calls
2 calls:
6.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series40.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* (cosh x) (/ y x))
25.0ms
(/ (* (cosh x) (/ y x)) z)

simplify52.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05000570

prune78.0ms

Filtered
48 candidates to 66 candidates (-37.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New60666
Fresh011
Picked011
Done000
Total60868

Merged error: 0.0b

Counts
68 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.1b
(/ y (* x (cbrt z)))
3.4b
(* (/ (cosh x) (* (cbrt z) (cbrt z))) (/ y (* x (cbrt z))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
35×add-cbrt-cube
16×add-sqr-sqrt prod-exp cbrt-unprod
14×cbrt-undiv div-exp
12×add-cube-cbrt *-un-lft-identity
10×times-frac
7×associate-*r* associate-*l*
6×pow1 cbrt-prod
4×add-log-exp
3×div-inv associate-/l*
2×pow1/3 unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
4 → 89
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
4.0ms
(/ y (* x (cbrt z)))
11.0ms
(* (/ (cosh x) (* (cbrt z) (cbrt z))) (/ y (* x (cbrt z))))

series91.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt z)
20.0ms
(cbrt z)
16.0ms
(/ y (* x (cbrt z)))
34.0ms
(* (/ (cosh x) (* (cbrt z) (cbrt z))) (/ y (* x (cbrt z))))

simplify36.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05104845

prune91.0ms

Filtered
65 candidates to 101 candidates (-55.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New992101
Fresh156
Picked101
Done011
Total1018109

Merged error: 0b

Counts
109 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
4.7b
(* (* (/ (cosh x) (* (cbrt z) (cbrt z))) y) (/ 1 (* x (cbrt z))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
122×add-exp-log
68×prod-exp
48×add-cbrt-cube
30×div-exp
28×cbrt-unprod
14×cbrt-undiv
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×rec-exp 1-exp
7×associate-*r*
4×add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×frac-times associate-*r/ associate-*l* un-div-inv *-commutative div-inv
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
13.0ms
(* (* (/ (cosh x) (* (cbrt z) (cbrt z))) y) (/ 1 (* x (cbrt z))))

series96.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt z)
21.0ms
(cbrt z)
21.0ms
(cbrt z)
32.0ms
(* (* (/ (cosh x) (* (cbrt z) (cbrt z))) y) (/ 1 (* x (cbrt z))))

simplify57.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04941783
14941783

prune81.0ms

Filtered
52 candidates to 107 candidates (-105.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh066
Picked011
Done011
Total1078115

Merged error: 0b

Counts
115 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cosh x) y)
0.0b
(/ z (* (cosh x) y))
1.0b
(/ 1 (* x (/ z (* (cosh x) y))))
5.9b
(* x (/ z (* (cosh x) y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
34×add-cbrt-cube
18×div-exp prod-exp
17×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
11×pow1 associate-*r*
10×cbrt-undiv cbrt-unprod
9×times-frac
6×associate-*l* associate-/l*
4×rec-exp 1-exp add-log-exp
3×cosh-def pow-prod-down associate-*l/ associate-/r/ div-inv
2×pow-flip frac-2neg associate-*r/ clear-num associate-/r* *-commutative unswap-sqr
1×inv-pow
Counts
4 → 106
Calls
4 calls:
6.0ms
(* (cosh x) y)
4.0ms
(/ z (* (cosh x) y))
7.0ms
(/ 1 (* x (/ z (* (cosh x) y))))
7.0ms
(* x (/ z (* (cosh x) y)))

series118.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (cosh x) y)
33.0ms
(/ z (* (cosh x) y))
44.0ms
(/ 1 (* x (/ z (* (cosh x) y))))
28.0ms
(* x (/ z (* (cosh x) y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04996995
14996995

prune82.0ms

Filtered
72 candidates to 118 candidates (-63.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1180118
Fresh055
Picked011
Done022
Total1188126

Merged error: 0b

Counts
126 → 8

regimes437.0ms

Accuracy

92.4% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 6.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03450
13450

end0.0ms

sample1.5s

Algorithm
intervals
Results
721.0ms22279×body80valid

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