Details

Time bar (total: 4.1s)

sample44.0ms

Algorithm
intervals
Results
24.0ms747×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1414
21024
32284
44114
57864
624694
750024

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: 7.3b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.8b
(/ (* (cosh x) (/ y x)) z)

rewrite16.0ms

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×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 64
Calls
2 calls:
7.0ms
(* (cosh x) (/ y x))
7.0ms
(/ (* (cosh x) (/ y x)) z)

series199.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (cosh x) (/ y x))
118.0ms
(/ (* (cosh x) (/ y x)) z)

simplify43.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0352391
11472333
25001333

prune149.0ms

Filtered
70 candidates to 53 candidates (75.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New63770
Fresh000
Picked101
Done000
Total64771

Merged error: 0.0b

Counts
71 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.3b
(* (* (cosh x) y) (/ 1 x))
6.8b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite26.0ms

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×expm1-log1p-u associate-/r* log1p-expm1-u 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 → 100
Calls
3 calls:
4.0ms
(* (cosh x) y)
8.0ms
(* (* (cosh x) y) (/ 1 x))
10.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series276.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(* (cosh x) y)
86.0ms
(* (* (cosh x) y) (/ 1 x))
118.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify70.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0532637
12730501
25002485

prune183.0ms

Filtered
109 candidates to 68 candidates (62.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1072109
Fresh156
Picked011
Done000
Total1088116

Merged error: 0.0b

Counts
116 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (* (cosh x) y))
0.0b
(* (cosh x) y)
0.6b
(/ 1 (* (/ z (* (cosh x) y)) x))
6.6b
(* (/ z (* (cosh x) y)) x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
34×add-cbrt-cube
18×div-exp prod-exp
17×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
11×pow1 associate-*l*
10×cbrt-undiv cbrt-unprod
9×times-frac
6×associate-*r* associate-/l*
5×associate-*l/
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×cosh-def pow-prod-down associate-/r/ div-inv
2×pow-flip frac-2neg clear-num associate-/r* *-commutative unswap-sqr
1×inv-pow
Counts
4 → 114
Calls
4 calls:
5.0ms
(/ z (* (cosh x) y))
4.0ms
(* (cosh x) y)
8.0ms
(/ 1 (* (/ z (* (cosh x) y)) x))
7.0ms
(* (/ z (* (cosh x) y)) x)

series454.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(/ z (* (cosh x) y))
72.0ms
(* (cosh x) y)
160.0ms
(/ 1 (* (/ z (* (cosh x) y)) x))
130.0ms
(* (/ z (* (cosh x) y)) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0498714
12233598
25002590

prune281.0ms

Filtered
126 candidates to 82 candidates (65.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1242126
Fresh426
Picked101
Done011
Total1295134

Merged error: 0b

Counts
134 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* (cosh x) y) z)
0.0b
(* (cosh x) y)
6.5b
(/ (/ (* (cosh x) y) z) x)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
5×pow1
3×expm1-log1p-u associate-*r* associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×cosh-def frac-2neg associate-*l/ clear-num associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
3 → 95
Calls
3 calls:
8.0ms
(/ (* (cosh x) y) z)
7.0ms
(* (cosh x) y)
10.0ms
(/ (/ (* (cosh x) y) z) x)

series340.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(/ (* (cosh x) y) z)
86.0ms
(* (cosh x) y)
169.0ms
(/ (/ (* (cosh x) y) z) x)

simplify55.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0435617
11846547
25001545

prune190.0ms

Filtered
104 candidates to 80 candidates (76.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1040104
Fresh033
Picked011
Done011
Total1045109

Merged error: 0b

Counts
109 → 5

regimes147.0ms

Accuracy

95.7% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 6.6b

bsearch96.0ms

Steps
ItersRangePoint
8
2.0009970776010306e-07
0.000111245184702244
9.951112810906223e-06
8
-4.315083172910085e-27
-3.052492504070213e-30
-4.0059762358022134e-28

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample1.3s

Algorithm
intervals
Results
784.0ms22649×body80valid

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