Details

Time bar (total: 2.8s)

sample58.0ms

Algorithm
intervals
Results
33.0ms702×body80valid

simplify53.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32244
44014
57584
624034
750014

prune2.0ms

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: 9.0b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

8.4b
(/ (* (cosh x) (/ y x)) z)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r* associate-/l/
2×cosh-def prod-exp cbrt-unprod
1×pow1 frac-times frac-2neg associate-*r/ associate-*l/ clear-num div-inv associate-/l* add-log-exp
Counts
1 → 26
Calls
1 calls:
6.0ms
(/ (* (cosh x) (/ y x)) z)

series109.0ms

Counts
1 → 3
Calls
1 calls:
109.0ms
(/ (* (cosh x) (/ y x)) z)

simplify28.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0232177
1948141
25001141

prune63.0ms

Filtered
29 candidates to 21 candidates (72.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New22729
Fresh000
Picked011
Done000
Total22830

Merged error: 0.0b

Counts
30 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y (* x z)))
3.7b
(/ 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))

series131.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(* (cosh x) (/ y (* x z)))
23.0ms
(/ y (* x z))

simplify32.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0252290
11032239
25002239

prune98.0ms

Filtered
56 candidates to 37 candidates (66.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New51556
Fresh336
Picked011
Done011
Total541064

Merged error: 0b

Counts
64 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (* y (/ 1 (* x z))))
0.2b
(/ 1 (* x z))
4.0b
(* y (/ 1 (* x z)))

rewrite23.0ms

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:
9.0ms
(* (cosh x) (* y (/ 1 (* x z))))
4.0ms
(/ 1 (* x z))
7.0ms
(* y (/ 1 (* x z)))

series145.0ms

Counts
3 → 9
Calls
3 calls:
114.0ms
(* (cosh x) (* y (/ 1 (* x z))))
12.0ms
(/ 1 (* x z))
20.0ms
(* y (/ 1 (* x z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0360480
11588377
25001367

prune120.0ms

Filtered
100 candidates to 48 candidates (48.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1000100
Fresh077
Picked011
Done022
Total10010110

Merged error: 0b

Counts
110 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp (* -1 x)) (exp x))
1.0b
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
3.7b
(/ (* z x) y)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log add-cbrt-cube
16×times-frac
12×cbrt-undiv div-exp
11×*-un-lft-identity
10×associate-/r*
9×add-sqr-sqrt add-cube-cbrt
6×prod-exp cbrt-unprod
5×add-log-exp
4×div-inv
3×pow1
2×frac-2neg flip3-+ associate-*r/ clear-num flip-+ associate-/l/ associate-/l*
1×+-commutative sum-log associate-/r/ distribute-lft-out
Counts
3 → 73
Calls
3 calls:
4.0ms
(+ (exp (* -1 x)) (exp x))
10.0ms
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
4.0ms
(/ (* z x) y)

series150.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (exp (* -1 x)) (exp x))
104.0ms
(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
18.0ms
(/ (* z x) y)

simplify64.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0441683
12493545
25001545

prune156.0ms

Filtered
82 candidates to 56 candidates (68.3%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New82082
Fresh066
Picked011
Done033
Total821092

Merged error: 0b

Counts
92 → 10

regimes251.0ms

Accuracy

92.4% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 6.7b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02214
12214

end0.0ms

sample1.2s

Algorithm
intervals
Results
721.0ms22312×body80valid

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