Details

Time bar (total: 26.7s)

sample84.0ms

Algorithm
intervals
Results
34.0ms676×body80valid

simplify4.6s

Counts
1 → 1
Iterations
IterNodes
done5001
72849
6771
5316
4187
384
239
118
07

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
9.2b
(/ (* (cosh x) (/ y x)) z)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
13×times-frac associate-*r*
12×*-un-lft-identity add-cube-cbrt
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-/r* associate-*l* associate-/l/
2×expm1-log1p-u frac-times associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l*
Counts
2 → 66
Calls
2 calls:
26.0ms
(* (cosh x) (/ y x))
27.0ms
(/ (* (cosh x) (/ y x)) z)

series534.0ms

Counts
2 → 6
Calls
2 calls:
233.0ms
(* (cosh x) (/ y x))
301.0ms
(/ (* (cosh x) (/ y x)) z)

simplify3.0s

Counts
72 → 72
Iterations
IterNodes
done5000
21322
1354
0143

prune967.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) y)
7.9b
(/ (* (cosh x) y) (* z x))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
6×add-sqr-sqrt
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv *-un-lft-identity div-exp add-cube-cbrt
3×associate-*r* associate-*l*
2×expm1-log1p-u cosh-def associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
1×clear-num associate-/r* frac-2neg times-frac pow-prod-down *-commutative div-inv associate-/l* unswap-sqr associate-/l/
Counts
2 → 47
Calls
2 calls:
14.0ms
(* (cosh x) y)
20.0ms
(/ (* (cosh x) y) (* z x))

series436.0ms

Counts
2 → 6
Calls
2 calls:
193.0ms
(* (cosh x) y)
242.0ms
(/ (* (cosh x) y) (* z x))

simplify2.4s

Counts
53 → 53
Iterations
IterNodes
done5194
21358
1286
0108

prune681.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* (cosh x) y) z)
0.0b
(* (cosh x) y)
5.0b
(/ (/ (* (cosh x) y) z) x)

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-sqr-sqrt
23×*-un-lft-identity add-cube-cbrt
19×add-cbrt-cube add-exp-log
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 insert-posit16 log1p-expm1-u add-log-exp
2×cosh-def clear-num frac-2neg associate-*l/ associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
3 → 98
Calls
3 calls:
27.0ms
(/ (* (cosh x) y) z)
22.0ms
(* (cosh x) y)
32.0ms
(/ (/ (* (cosh x) y) z) x)

series621.0ms

Counts
3 → 9
Calls
3 calls:
204.0ms
(/ (* (cosh x) y) z)
149.0ms
(* (cosh x) y)
268.0ms
(/ (/ (* (cosh x) y) z) x)

simplify3.4s

Counts
107 → 107
Iterations
IterNodes
done5002
21462
1444
0182

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.2b
(* (* (cosh x) y) (/ 1 z))
5.0b
(/ (* (* (cosh x) y) (/ 1 z)) x)

rewrite132.0ms

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×*-un-lft-identity add-cube-cbrt
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* insert-posit16 log1p-expm1-u add-log-exp
2×frac-times associate-*r/ un-div-inv *-commutative div-inv
1×clear-num frac-2neg associate-/l* unswap-sqr
Counts
3 → 103
Calls
3 calls:
22.0ms
(* (cosh x) y)
58.0ms
(* (* (cosh x) y) (/ 1 z))
36.0ms
(/ (* (* (cosh x) y) (/ 1 z)) x)

series656.0ms

Counts
3 → 9
Calls
3 calls:
180.0ms
(* (cosh x) y)
216.0ms
(* (* (cosh x) y) (/ 1 z))
260.0ms
(/ (* (* (cosh x) y) (/ 1 z)) x)

simplify3.3s

Counts
112 → 112
Iterations
IterNodes
done5020
21936
1515
0192

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes642.0ms

Accuracy

91.3% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 6.9b

bsearch154.0ms

Steps
ItersRangePoint
7
1.0891058186683519e-12
4.1750260115318935e-11
1.0849136029509065e-11
8
-4.8032605876186047e-45
-8.228243517090271e-48
-3.139482297119391e-45

simplify7.0ms

Iterations
IterNodes
done24
124
019

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.3s22119×body80valid