Details

Time bar (total: 14.1s)

sample54.0ms

Algorithm
intervals
Results
32.0ms676×body80valid

simplify2.4s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:
15.0ms
(* (cosh x) (/ y x))
15.0ms
(/ (* (cosh x) (/ y x)) z)

series224.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(* (cosh x) (/ y x))
131.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.5s

Counts
72 → 72
Iterations
IterNodes
done5004
21331
1354
0143

prune417.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ (* x y) z) 1/2 (/ (/ y z) x))
5.0b
(/ (/ y z) x)
7.2b
(/ (* x y) z)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
47×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
14×associate-/l*
13×add-cbrt-cube add-exp-log
6×associate-/r* div-inv
5×cbrt-undiv div-exp
3×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×prod-exp cbrt-unprod fma-udef associate-/l/
Counts
3 → 108
Calls
3 calls:
0.0ms
(fma (/ (* x y) z) 1/2 (/ (/ y z) x))
11.0ms
(/ (/ y z) x)
24.0ms
(/ (* x y) z)

series113.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(fma (/ (* x y) z) 1/2 (/ (/ y z) x))
21.0ms
(/ (/ y z) x)
25.0ms
(/ (* x y) z)

simplify1.8s

Counts
117 → 117
Iterations
IterNodes
done5002
21529
1469
0199

prune693.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ (* x y) z) 1/2 (* (/ y z) (/ 1 x)))
5.0b
(* (/ y z) (/ 1 x))
7.2b
(/ (* x y) z)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
30×add-exp-log
28×times-frac
21×*-un-lft-identity
20×add-cbrt-cube
19×add-cube-cbrt
13×associate-*r* associate-*l*
10×div-exp
9×prod-exp
6×cbrt-undiv unswap-sqr
5×pow1 cbrt-unprod
3×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u div-inv add-log-exp
2×rec-exp 1-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative fma-udef associate-/l*
Counts
3 → 95
Calls
3 calls:
0.0ms
(fma (/ (* x y) z) 1/2 (* (/ y z) (/ 1 x)))
26.0ms
(* (/ y z) (/ 1 x))
11.0ms
(/ (* x y) z)

series95.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(fma (/ (* x y) z) 1/2 (* (/ y z) (/ 1 x)))
23.0ms
(* (/ y z) (/ 1 x))
22.0ms
(/ (* x y) z)

simplify1.6s

Counts
104 → 104
Iterations
IterNodes
done5001
21685
1464
0168

prune432.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

5.0b
(* (/ y z) (/ 1 x))
7.2b
(/ (* x y) z)
7.2b
(/ (* x y) z)
7.2b
(/ (* x y) z)

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt add-exp-log
34×times-frac
31×add-cbrt-cube
26×*-un-lft-identity
24×add-cube-cbrt
14×div-exp
13×associate-*r* associate-*l*
11×prod-exp
10×cbrt-undiv
9×associate-/r*
7×cbrt-unprod
6×pow1 unswap-sqr
5×div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-/l*
2×rec-exp 1-exp
1×frac-times pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative
Counts
4 → 132
Calls
4 calls:
25.0ms
(* (/ y z) (/ 1 x))
20.0ms
(/ (* x y) z)
20.0ms
(/ (* x y) z)
25.0ms
(/ (* x y) z)

series116.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (/ y z) (/ 1 x))
34.0ms
(/ (* x y) z)
25.0ms
(/ (* x y) z)
32.0ms
(/ (* x y) z)

simplify1.4s

Counts
144 → 144
Iterations
IterNodes
done5000
21643
1441
0153

prune761.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes231.0ms

Accuracy

92.5% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 7.7b

bsearch106.0ms

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

simplify3.0ms

Iterations
IterNodes
done25
125
019

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.4s22119×body80valid