Details

Time bar (total: 3.5s)

sample55.0ms

Algorithm
intervals
Results
23.0ms727×body80valid

simplify57.0ms

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: 9.0b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y x))
8.5b
(/ (* (cosh x) (/ y x)) z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/ add-log-exp
2×frac-times associate-*r/ associate-*l/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
3 → 68
Calls
3 calls:
1.0ms
(cosh x)
7.0ms
(* (cosh x) (/ y x))
6.0ms
(/ (* (cosh x) (/ y x)) z)

series50.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
17.0ms
(* (cosh x) (/ y x))
27.0ms
(/ (* (cosh x) (/ y x)) z)

simplify48.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0365414
11576354
25001354

prune283.0ms

Filtered
77 candidates to 59 candidates (23.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New70777
Fresh000
Picked011
Done000
Total70878

Merged error: 0.0b

Counts
78 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y (* x z)))
8.3b
(/ y (* x z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×times-frac
5×pow1 prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×cosh-def associate-*l* associate-/l* add-log-exp
2×div-inv
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative unswap-sqr
Counts
3 → 58
Calls
3 calls:
1.0ms
(cosh x)
7.0ms
(* (cosh x) (/ y (* x z)))
4.0ms
(/ y (* x z))

series38.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(cosh x)
27.0ms
(* (cosh x) (/ y (* x z)))
5.0ms
(/ y (* x z))

simplify40.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0279330
11152276
25001276

prune174.0ms

Filtered
67 candidates to 47 candidates (29.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New64367
Fresh246
Picked011
Done101
Total67875

Merged error: 0.0b

Counts
75 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(/ (cosh x) x)
6.3b
(* (/ (cosh x) x) (/ y z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
31×times-frac
25×add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
13×associate-*r* associate-*l*
5×pow1 cbrt-undiv div-exp
4×prod-exp cbrt-unprod unswap-sqr
3×associate-/r* div-inv associate-/l* add-log-exp
2×cosh-def
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
3 → 86
Calls
3 calls:
1.0ms
(cosh x)
3.0ms
(/ (cosh x) x)
10.0ms
(* (/ (cosh x) x) (/ y z))

series46.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(cosh x)
10.0ms
(/ (cosh x) x)
30.0ms
(* (/ (cosh x) x) (/ y z))

simplify49.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0451545
11891487
25002487

prune353.0ms

Filtered
95 candidates to 74 candidates (22.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New92395
Fresh336
Picked011
Done101
Total967103

Merged error: 0b

Counts
103 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ y z))
6.2b
(/ (* (cosh x) (/ y z)) x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/ add-log-exp
2×frac-times associate-*r/ associate-*l/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
3 → 68
Calls
3 calls:
1.0ms
(cosh x)
7.0ms
(* (cosh x) (/ y z))
6.0ms
(/ (* (cosh x) (/ y z)) x)

series55.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(cosh x)
22.0ms
(* (cosh x) (/ y z))
27.0ms
(/ (* (cosh x) (/ y z)) x)

simplify48.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0368416
11638356
25002356

prune246.0ms

Filtered
77 candidates to 59 candidates (23.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh055
Picked011
Done011
Total77784

Merged error: 0b

Counts
84 → 7

regimes240.0ms

Accuracy

93.7% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 6.9b

bsearch124.0ms

Steps
ItersRangePoint
8
6.329771891902425e+26
6.992546828174963e+30
9.402224255957076e+29
9
-17055.648879864206
-0.0011811564698516964
-0.48421412719263424

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

sample1.5s

Algorithm
intervals
Results
716.0ms22519×body80valid

Profiling

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