Details

sample189.0ms

Algorithm

intervals

Results

97.0ms

498×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3800
3	809
2	221
1	67
0	28

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* 27.0 j) k)
6.6b	(* (* (* x 18.0) y) z)
6.6b	(* t (* (* (* x 18.0) y) z))

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

28.0ms	(* (* x 18.0) y)
28.0ms	(* (* 27.0 j) k)
86.0ms	(* (* (* x 18.0) y) z)
164.0ms	(* t (* (* (* x 18.0) y) z))

series156.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* x 18.0) y)
22.0ms	(* (* 27.0 j) k)
30.0ms	(* (* (* x 18.0) y) z)
64.0ms	(* t (* (* (* x 18.0) y) z))

simplify2.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	2777
1	374
0	142

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
0.2b	(* (* 27.0 j) k)
3.6b	(* (* t x) (* y 18.0))
7.6b	(* (* (* t x) (* y 18.0)) z)

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-cbrt-cube` `add-exp-log`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative`
1×	`fma-udef`

Counts

4 → 83

Calls

4 calls:

0.0ms	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
15.0ms	(* (* 27.0 j) k)
28.0ms	(* (* t x) (* y 18.0))
125.0ms	(* (* (* t x) (* y 18.0)) z)

series307.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
35.0ms	(* (* 27.0 j) k)
60.0ms	(* (* t x) (* y 18.0))
84.0ms	(* (* (* t x) (* y 18.0)) z)

simplify1.8s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	2364
1	386
0	150

prune868.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
0.2b	(* (* 27.0 j) k)
0.3b	(* 18.0 (* t x))
9.5b	(* (* 18.0 (* t x)) (* y z))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef`

Counts

4 → 80

Calls

4 calls:

2.0ms	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
27.0ms	(* (* 27.0 j) k)
25.0ms	(* 18.0 (* t x))
57.0ms	(* (* 18.0 (* t x)) (* y z))

series296.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
25.0ms	(* (* 27.0 j) k)
37.0ms	(* 18.0 (* t x))
83.0ms	(* (* 18.0 (* t x)) (* y z))

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	2049
1	369
0	143

prune944.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* (* (* x t) z) y))
0.2b	(* (* 27.0 j) k)
5.0b	(* (* x t) z)
5.6b	(* (* (* x t) z) y)

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

162.0ms	(* 18.0 (* (* (* x t) z) y))
25.0ms	(* (* 27.0 j) k)
27.0ms	(* (* x t) z)
55.0ms	(* (* (* x t) z) y)

series217.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* 18.0 (* (* (* x t) z) y))
34.0ms	(* (* 27.0 j) k)
47.0ms	(* (* x t) z)
72.0ms	(* (* (* x t) z) y)

simplify1.6s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2789
1	368
0	140

prune830.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes2.0s

Accuracy

34.7% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 4.1b

bsearch227.0ms

Steps

Iters	Range		Point
4	3.049749288283845e-122	5.54662209329706e-122	4.876643435439088e-122
6	-3.135219766347526e+32	-5.6096058430448225e+31	-1.2962901786369045e+32

simplify8.0ms

Iterations

Iter	Nodes
done	66
1	66
0	47

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.9s

15995×

body

valid