Details

Time bar (total: 3.9s)

sample51.0ms

Algorithm
intervals
Results
20.0ms647×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750014

prune4.0ms

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: 7.7b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.2b
(/ (* (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)

series176.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(* (cosh x) (/ y x))
105.0ms
(/ (* (cosh x) (/ y x)) z)

simplify39.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0338374
11422317
25002317

prune286.0ms

Filtered
66 candidates to 49 candidates (74.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New59766
Fresh000
Picked011
Done000
Total59867

Merged error: 0.0b

Counts
67 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity associate-*r*
6×times-frac
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp
3×associate-*l* associate-/l*
2×cosh-def div-inv add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 50
Calls
2 calls:
7.0ms
(* (cosh x) (/ y (* x z)))
4.0ms
(/ y (* x z))

series125.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(* (cosh x) (/ y (* x z)))
19.0ms
(/ y (* x z))

simplify34.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0252290
11032239
25002239

prune182.0ms

Filtered
56 candidates to 37 candidates (66.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New55156
Fresh066
Picked011
Done101
Total56864

Merged error: 0b

Counts
64 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
26×associate-*r*
22×add-sqr-sqrt prod-exp
19×times-frac
17×add-cube-cbrt *-un-lft-identity
12×cbrt-unprod
11×div-exp
9×pow1
6×cbrt-undiv frac-times cosh-def associate-*l/
4×associate-*r/ associate-*l* pow-prod-down
3×rec-exp 1-exp
2×*-commutative div-inv add-log-exp unswap-sqr
1×un-div-inv
Counts
2 → 84
Calls
2 calls:
6.0ms
(* (cosh x) (/ y x))
9.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

series183.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(* (cosh x) (/ y x))
108.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify55.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0508578
12430472
25002443

prune240.0ms

Filtered
90 candidates to 55 candidates (61.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New89190
Fresh156
Picked011
Done011
Total90898

Merged error: 0b

Counts
98 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.3b
(* (* (cosh x) y) (/ 1 x))
7.2b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
59×add-exp-log
35×add-cbrt-cube
25×prod-exp
17×div-exp
16×add-sqr-sqrt associate-*r*
14×add-cube-cbrt *-un-lft-identity
13×cbrt-unprod
12×times-frac
10×pow1
9×cbrt-undiv
7×associate-*l/
5×cosh-def
4×rec-exp 1-exp associate-*l* pow-prod-down associate-/l/
3×associate-/r* add-log-exp
2×frac-times associate-*r/ un-div-inv *-commutative div-inv
1×frac-2neg clear-num associate-/l* unswap-sqr
Counts
3 → 94
Calls
3 calls:
3.0ms
(* (cosh x) y)
8.0ms
(* (* (cosh x) y) (/ 1 x))
9.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series241.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(* (cosh x) y)
72.0ms
(* (* (cosh x) y) (/ 1 x))
105.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify63.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0517611
12686476
25002462

prune250.0ms

Filtered
103 candidates to 61 candidates (59.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1021103
Fresh325
Picked011
Done022
Total1056111

Merged error: 0b

Counts
111 → 6

regimes288.0ms

Accuracy

93.3% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 7.2b

bsearch100.0ms

Steps
ItersRangePoint
11
1.901482705115966e-57
4.0066409205706195e-38
1.980993816559692e-38
4
-1.1505436135727613e+49
-6.731609779122385e+48
-6.880791852766298e+48

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0279
1279

end0.0ms

sample1.5s

Algorithm
intervals
Results
678.0ms22253×body80valid

Profiling

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