Details

Time bar (total: 14.8s)

sample111.0ms

Algorithm
intervals
Results
51.0ms753×body80valid

simplify2.0s

Counts
1 → 1
Iterations
IterNodes
done5000
61941
5509
4226
3102
241
118
07

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.0b
(/ (* (cosh x) (/ y x)) z)

rewrite38.0ms

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/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l*
Counts
2 → 64
Calls
2 calls:
14.0ms
(* (cosh x) (/ y x))
22.0ms
(/ (* (cosh x) (/ y x)) z)

series294.0ms

Counts
2 → 6
Calls
2 calls:
127.0ms
(* (cosh x) (/ y x))
167.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.0s

Counts
70 → 70
Iterations
IterNodes
done5000
21549
1354
0141

prune470.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.3b
(* (* (cosh x) y) (/ 1 x))
7.0b
(/ (* (* (cosh x) y) (/ 1 x)) z)

rewrite104.0ms

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* 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 → 100
Calls
3 calls:
18.0ms
(* (cosh x) y)
41.0ms
(* (* (cosh x) y) (/ 1 x))
38.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

series375.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(* (cosh x) y)
118.0ms
(* (* (cosh x) y) (/ 1 x))
170.0ms
(/ (* (* (cosh x) y) (/ 1 x)) z)

simplify2.5s

Counts
109 → 109
Iterations
IterNodes
done5000
23499
1546
0190

prune555.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (cosh x))
0.0b
(/ z (* y (cosh x)))
0.6b
(/ 1 (* (/ z (* y (cosh x))) x))
6.4b
(* (/ z (* y (cosh x))) x)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
54×add-exp-log
34×add-cbrt-cube
18×div-exp prod-exp
17×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
11×pow1 associate-*l*
10×cbrt-undiv cbrt-unprod
9×times-frac
6×associate-*r* associate-/l*
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×cosh-def pow-prod-down associate-*r/ associate-/r/ div-inv
2×clear-num associate-/r* frac-2neg associate-*l/ *-commutative pow-flip unswap-sqr
1×inv-pow
Counts
4 → 114
Calls
4 calls:
11.0ms
(* y (cosh x))
11.0ms
(/ z (* y (cosh x)))
34.0ms
(/ 1 (* (/ z (* y (cosh x))) x))
33.0ms
(* (/ z (* y (cosh x))) x)

series666.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* y (cosh x))
152.0ms
(/ z (* y (cosh x)))
192.0ms
(/ 1 (* (/ z (* y (cosh x))) x))
242.0ms
(* (/ z (* y (cosh x))) x)

simplify1.1s

Counts
126 → 126
Iterations
IterNodes
done5001
22657
1525
0193

prune613.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* 1 (* (cosh x) y)) z)
0.0b
(* (cosh x) y)
6.1b
(/ (/ (* 1 (* (cosh x) y)) z) x)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
36×times-frac
28×add-cbrt-cube
25×add-sqr-sqrt
23×*-un-lft-identity add-cube-cbrt
16×div-exp
13×prod-exp
10×cbrt-undiv
8×associate-/l*
7×cbrt-unprod
6×associate-/r* div-inv
5×pow1
4×1-exp
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×cosh-def clear-num frac-2neg associate-*l/ associate-/l/
1×pow-prod-down associate-*r/ *-commutative unswap-sqr
Counts
3 → 103
Calls
3 calls:
20.0ms
(/ (* 1 (* (cosh x) y)) z)
10.0ms
(* (cosh x) y)
29.0ms
(/ (/ (* 1 (* (cosh x) y)) z) x)

series338.0ms

Counts
3 → 9
Calls
3 calls:
112.0ms
(/ (* 1 (* (cosh x) y)) z)
99.0ms
(* (cosh x) y)
127.0ms
(/ (/ (* 1 (* (cosh x) y)) z) x)

simplify937.0ms

Counts
112 → 112
Iterations
IterNodes
done5000
22793
1513
0201

prune412.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes354.0ms

Accuracy

94% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.5b

bsearch108.0ms

Steps
ItersRangePoint
8
1.0697006936869114e-29
5.0385015978923984e-26
4.4816919792486396e-26
6
-3.1987159154612114e-61
-5.513175655606124e-62
-2.1080451984601695e-61

simplify2.0ms

Iterations
IterNodes
done24
124
018

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.2s22302×body80valid