Details

sample203.0ms

Algorithm

intervals

Results

76.0ms

498×

body

valid

simplify4.7s

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize31.0ms

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))

rewrite246.0ms

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:

27.0ms	(* (* x 18.0) y)
28.0ms	(* (* 27.0 j) k)
43.0ms	(* (* (* x 18.0) y) z)
144.0ms	(* t (* (* (* x 18.0) y) z))

series159.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* x 18.0) y)
36.0ms	(* (* 27.0 j) k)
43.0ms	(* (* (* x 18.0) y) z)
54.0ms	(* t (* (* (* x 18.0) y) z))

simplify1.9s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	2777
1	374
0	142

prune963.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

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)

rewrite138.0ms

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))
18.0ms	(* (* 27.0 j) k)
25.0ms	(* (* t x) (* y 18.0))
92.0ms	(* (* (* t x) (* y 18.0)) z)

series270.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
27.0ms	(* (* 27.0 j) k)
36.0ms	(* (* t x) (* y 18.0))
73.0ms	(* (* (* t x) (* y 18.0)) z)

simplify1.9s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	2364
1	386
0	150

prune821.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

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	(* z (* 18.0 y))
9.5b	(* (* t x) (* z (* 18.0 y)))

rewrite102.0ms

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:

0.0ms	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
13.0ms	(* (* 27.0 j) k)
19.0ms	(* z (* 18.0 y))
66.0ms	(* (* t x) (* z (* 18.0 y)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
36.0ms	(* (* 27.0 j) k)
36.0ms	(* z (* 18.0 y))
71.0ms	(* (* t x) (* z (* 18.0 y)))

simplify973.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1903
1	367
0	144

prune751.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

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)
5.0b	(* (* t x) z)
5.7b	(* (* (* t x) z) (* 18.0 y))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`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 → 80

Calls

4 calls:

0.0ms	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
13.0ms	(* (* 27.0 j) k)
24.0ms	(* (* t x) z)
80.0ms	(* (* (* t x) z) (* 18.0 y))

series276.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(fma 4.0 (fma t a (* x i)) (* (* 27.0 j) k))
27.0ms	(* (* 27.0 j) k)
31.0ms	(* (* t x) z)
52.0ms	(* (* (* t x) z) (* 18.0 y))

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	2293
1	377
0	146

prune789.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes2.4s

Accuracy

56.2% (1.8b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 4.3b

bsearch524.0ms

Steps

Iters	Range		Point
10	1.3208645215040273e+39	4.94862611632601e+50	1.510181401013655e+39
10	-1.4395625610792464e-105	-1.7603444397031845e-118	-3.345137941616382e-109

simplify10.0ms

Iterations

Iter	Nodes
done	64
1	64
0	46

end0.0ms

sample5.4s

Algorithm

intervals

Results

3.5s

15995×

body

valid