Details

Time bar (total: 2.8s)

sample55.0ms

Algorithm
intervals
Results
24.0ms751×body80valid

simplify53.0ms

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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.2b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.7b
(/ (* (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)

series47.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* (cosh x) (/ y x))
30.0ms
(/ (* (cosh x) (/ y x)) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0338374
11422317
25002317

prune87.0ms

Filtered
66 candidates to 49 candidates (25.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New59766
Fresh000
Picked011
Done000
Total59867

Merged error: 0.3b

Counts
67 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (cosh x) (/ y (* x z)))
4.3b
(/ 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:
6.0ms
(* (cosh x) (/ y (* x z)))
4.0ms
(/ y (* x z))

series31.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (cosh x) (/ y (* x z)))
5.0ms
(/ y (* x z))

simplify31.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0252290
11032239
25002239

prune64.0ms

Filtered
56 candidates to 37 candidates (33.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New54256
Fresh246
Picked101
Done011
Total57764

Merged error: 0.3b

Counts
64 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (/ (* x y) z))
0.0b
(+ (* 1/2 (/ (* x y) z)) (/ y (* x z)))
3.3b
(/ (* x y) z)
4.3b
(/ y (* x z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
4×associate-/r* associate-/l*
3×associate-*l* div-inv
2×frac-2neg associate-*r/ clear-num
1×+-commutative flip3-+ pow-prod-down frac-add sum-log *-commutative flip-+ unswap-sqr
Counts
4 → 81
Calls
4 calls:
6.0ms
(* 1/2 (/ (* x y) z))
7.0ms
(+ (* 1/2 (/ (* x y) z)) (/ y (* x z)))
4.0ms
(/ (* x y) z)
4.0ms
(/ y (* x z))

series27.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* 1/2 (/ (* x y) z))
9.0ms
(+ (* 1/2 (/ (* x y) z)) (/ y (* x z)))
5.0ms
(/ (* x y) z)
7.0ms
(/ y (* x z))

simplify45.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0354442
11722388
25001388

prune88.0ms

Filtered
93 candidates to 61 candidates (34.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh055
Picked011
Done011
Total937100

Merged error: 0.3b

Counts
100 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ 1 (* x z))
0.3b
(* (cosh x) (* y (/ 1 (* x z))))
4.9b
(* y (/ 1 (* x z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
13×pow1 cbrt-unprod
12×div-exp
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×associate-*r*
6×cbrt-undiv rec-exp times-frac 1-exp associate-*l*
5×associate-*r/ pow-prod-down
3×cosh-def un-div-inv associate-/l* add-log-exp
2×frac-times pow-flip *-commutative div-inv
1×frac-2neg associate-*l/ clear-num associate-/r* inv-pow unswap-sqr
Counts
3 → 91
Calls
3 calls:
4.0ms
(/ 1 (* x z))
11.0ms
(* (cosh x) (* y (/ 1 (* x z))))
7.0ms
(* y (/ 1 (* x z)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(/ 1 (* x z))
26.0ms
(* (cosh x) (* y (/ 1 (* x z))))
5.0ms
(* y (/ 1 (* x z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0360480
11588377
25001367

prune63.0ms

Filtered
100 candidates to 49 candidates (51.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New982100
Fresh044
Picked101
Done022
Total998107

Merged error: 0.2b

Counts
107 → 8

regimes510.0ms

Accuracy

90.3% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 7.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02816
12816

end0.0ms

sample1.5s

Algorithm
intervals
Results
729.0ms22422×body80valid

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