Details

Time bar (total: 3.5s)

analyze373.0ms

Algorithm
search

sample34.0ms

Algorithm
intervals
Results
9.0ms263×body80invalid
9.0ms256×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750014

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.7b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
5.4b
(/ (* (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)

series45.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (cosh x) (/ y x))
29.0ms
(/ (* (cosh x) (/ y x)) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0338374
11422317
25002317

prune89.0ms

Filtered
49 candidates to 66 candidates (-34.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New58866
Fresh000
Picked101
Done000
Total59867

Merged error: 0.0b

Counts
67 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
5.5b
(* (* (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))

series42.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* (cosh x) (/ y x))
27.0ms
(* (* (cosh x) (/ y x)) (/ 1 z))

simplify55.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0508578
12430472
25002443

prune87.0ms

Filtered
55 candidates to 90 candidates (-63.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New89190
Fresh167
Picked011
Done000
Total90898

Merged error: 0.0b

Counts
98 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.2b
(* (* (cosh x) y) (/ 1 x))
5.4b
(/ (* (* (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)
7.0ms
(* (* (cosh x) y) (/ 1 x))
9.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series57.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* (cosh x) y)
17.0ms
(* (* (cosh x) y) (/ 1 x))
25.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify63.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0517611
12686476
25002462

prune94.0ms

Filtered
62 candidates to 103 candidates (-66.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1003103
Fresh336
Picked011
Done011
Total1038111

Merged error: 0b

Counts
111 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ (cosh x) (/ z (/ y x)))
5.2b
(/ z (/ y x))

rewrite32.0ms

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 frac-2neg clear-num add-log-exp
1×cosh-def associate-/l/
Counts
2 → 267
Calls
2 calls:
11.0ms
(/ (cosh x) (/ z (/ y x)))
5.0ms
(/ z (/ y x))

series38.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (cosh x) (/ z (/ y x)))
5.0ms
(/ z (/ y x))

simplify53.0ms

Algorithm
egg-herbie
Counts
273 → 273
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011132717
150012614

prune219.0ms

Filtered
234 candidates to 273 candidates (-16.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2730273
Fresh055
Picked011
Done022
Total2738281

Merged error: 0b

Counts
281 → 8

regimes325.0ms

Accuracy

96.5% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.8b

bsearch437.0ms

Steps
ItersRangePoint
6
2.9119812054323624e-33
1.3233278778607388e-32
5.844040437297533e-33
10
-0.003838959223463415
-1.208442572360173e-19
-0.00014953740651292447

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

analyze356.0ms

Algorithm
search

sample877.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid
269.0ms7216×body80invalid

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