Details

Time bar (total: 19.4s)

sample111.0ms

Algorithm
intervals
Results
85.0ms719×body80valid

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5001
72733
6751
5308
4183
384
239
118
07

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ y x))
0.0b
(cosh x)
3.8b
(/ (* (cosh x) (/ y x)) z)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-cbrt-cube add-exp-log
13×*-un-lft-identity times-frac associate-*r* add-cube-cbrt
5×pow1 cbrt-undiv cosh-def div-exp
4×prod-exp cbrt-unprod
3×associate-/r* associate-*l* insert-posit16 add-log-exp associate-/l/
2×frac-times associate-*l/ associate-*r/ div-inv unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l*
Counts
3 → 71
Calls
3 calls:
20.0ms
(* (cosh x) (/ y x))
2.0ms
(cosh x)
12.0ms
(/ (* (cosh x) (/ y x)) z)

series377.0ms

Counts
3 → 9
Calls
3 calls:
134.0ms
(* (cosh x) (/ y x))
71.0ms
(cosh x)
172.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.4s

Counts
80 → 80
Iterations
IterNodes
done5001
21423
1379
0153

prune405.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (cosh x)) (/ y x))
0.0b
(* (cbrt (cosh x)) (cbrt (cosh x)))
0.0b
(* (* (cbrt (cosh x)) (cbrt (cosh x))) (* (cbrt (cosh x)) (/ y x)))
3.8b
(/ (* (* (cbrt (cosh x)) (cbrt (cosh x))) (* (cbrt (cosh x)) (/ y x))) z)

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
54×cbrt-div cosh-def
41×add-sqr-sqrt
37×add-cbrt-cube
36×frac-times
29×prod-exp cbrt-unprod
25×pow1
24×associate-*l/ associate-*r/
23×*-un-lft-identity add-cube-cbrt
21×cbrt-prod
20×associate-*r*
15×associate-/l/
14×times-frac
13×associate-*l*
12×cbrt-undiv div-exp
11×pow-prod-down
8×unswap-sqr
6×pow1/3 swap-sqr
4×insert-posit16 add-log-exp
3×associate-/r* *-commutative
2×pow-sqr pow-prod-up div-inv
1×pow2 clear-num frac-2neg pow-plus associate-/l*
Counts
4 → 173
Calls
4 calls:
10.0ms
(* (cbrt (cosh x)) (/ y x))
9.0ms
(* (cbrt (cosh x)) (cbrt (cosh x)))
52.0ms
(* (* (cbrt (cosh x)) (cbrt (cosh x))) (* (cbrt (cosh x)) (/ y x)))
51.0ms
(/ (* (* (cbrt (cosh x)) (cbrt (cosh x))) (* (cbrt (cosh x)) (/ y x))) z)

series828.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (cbrt (cosh x)) (/ y x))
394.0ms
(* (cbrt (cosh x)) (cbrt (cosh x)))
115.0ms
(* (* (cbrt (cosh x)) (cbrt (cosh x))) (* (cbrt (cosh x)) (/ y x)))
162.0ms
(/ (* (* (cbrt (cosh x)) (cbrt (cosh x))) (* (cbrt (cosh x)) (/ y x))) z)

simplify2.1s

Counts
185 → 185
Iterations
IterNodes
done5000
22668
1753
0262

prune886.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1/2 (exp x)) (* (exp x) 1/2))
0.0b
(/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) z)
0.0b
(/ 1/2 (exp x))
3.8b
(* (/ y x) (/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) z))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×times-frac
34×*-un-lft-identity add-cube-cbrt
20×add-cbrt-cube
19×add-exp-log
13×associate-*r* associate-*l*
6×pow1 cbrt-undiv associate-/r* div-exp associate-/l* add-log-exp
4×prod-exp cbrt-unprod insert-posit16 div-inv unswap-sqr
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×frac-times +-commutative sum-log pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 121
Calls
4 calls:
15.0ms
(+ (/ 1/2 (exp x)) (* (exp x) 1/2))
72.0ms
(/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) z)
5.0ms
(/ 1/2 (exp x))
53.0ms
(* (/ y x) (/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) z))

series330.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(+ (/ 1/2 (exp x)) (* (exp x) 1/2))
89.0ms
(/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) z)
9.0ms
(/ 1/2 (exp x))
153.0ms
(* (/ y x) (/ (+ (/ 1/2 (exp x)) (* (exp x) 1/2)) z))

simplify2.1s

Counts
133 → 133
Iterations
IterNodes
done5002
22190
1609
0222

prune650.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (cosh x)) (cbrt (cosh x)))
0.0b
(* (* (cbrt (cosh x)) (cbrt (cosh x))) (* (* (cbrt (cosh x)) y) (/ 1 x)))
0.3b
(* (* (cbrt (cosh x)) y) (/ 1 x))
3.8b
(/ (* (* (cbrt (cosh x)) (cbrt (cosh x))) (* (* (cbrt (cosh x)) y) (/ 1 x))) z)

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
194×add-exp-log
115×prod-exp
80×add-cbrt-cube
62×cbrt-div cosh-def
61×cbrt-unprod
44×frac-times associate-*l/
39×div-exp
37×pow1
29×add-sqr-sqrt
28×associate-*r/
21×cbrt-undiv *-un-lft-identity add-cube-cbrt
20×associate-*r* pow-prod-down
19×associate-/l/
16×cbrt-prod
12×times-frac
10×rec-exp 1-exp
9×un-div-inv
8×associate-*l*
6×pow1/3 swap-sqr
4×insert-posit16 add-log-exp unswap-sqr
3×associate-/r* *-commutative
2×pow-sqr pow-prod-up div-inv
1×pow2 clear-num frac-2neg pow-plus associate-/l*
Counts
4 → 216
Calls
4 calls:
15.0ms
(* (cbrt (cosh x)) (cbrt (cosh x)))
71.0ms
(* (* (cbrt (cosh x)) (cbrt (cosh x))) (* (* (cbrt (cosh x)) y) (/ 1 x)))
24.0ms
(* (* (cbrt (cosh x)) y) (/ 1 x))
94.0ms
(/ (* (* (cbrt (cosh x)) (cbrt (cosh x))) (* (* (cbrt (cosh x)) y) (/ 1 x))) z)

series787.0ms

Counts
4 → 12
Calls
4 calls:
331.0ms
(* (cbrt (cosh x)) (cbrt (cosh x)))
106.0ms
(* (* (cbrt (cosh x)) (cbrt (cosh x))) (* (* (cbrt (cosh x)) y) (/ 1 x)))
200.0ms
(* (* (cbrt (cosh x)) y) (/ 1 x))
149.0ms
(/ (* (* (cbrt (cosh x)) (cbrt (cosh x))) (* (* (cbrt (cosh x)) y) (/ 1 x))) z)

simplify2.1s

Counts
228 → 228
Iterations
IterNodes
done5236
23338
1930
0310

prune804.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes265.0ms

Accuracy

94.8% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 7.5b

bsearch138.0ms

Steps
ItersRangePoint
4
1.766624877482737e-20
2.4836067088222448e-20
2.102710110923131e-20
7
-3.197232192274342e-65
-7.463908164699712e-67
-3.1569808277222708e-65

simplify10.0ms

Iterations
IterNodes
done33
133
024

end0.0ms

sample3.2s

Algorithm
intervals
Results
2.5s21882×body80valid