Details

sample148.0ms

Algorithm

intervals

Results

57.0ms

551×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* 27.0 j) k)
5.6b	(* (* (* x 18.0) y) z)
6.4b	(* t (* (* (* x 18.0) y) z))

rewrite194.0ms

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:

13.0ms	(* (* x 18.0) y)
15.0ms	(* (* 27.0 j) k)
43.0ms	(* (* (* x 18.0) y) z)
120.0ms	(* t (* (* (* x 18.0) y) z))

series180.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* x 18.0) y)
25.0ms	(* (* 27.0 j) k)
40.0ms	(* (* (* x 18.0) y) z)
79.0ms	(* t (* (* (* x 18.0) y) z))

simplify2.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	2777
1	374
0	142

prune958.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t a (* x i))
0.2b	(* (* 27.0 j) k)
5.3b	(* (* t x) (* y 18.0))
5.8b	(* (* (* t x) (* y 18.0)) z)

rewrite140.0ms

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 t a (* x i))
13.0ms	(* (* 27.0 j) k)
22.0ms	(* (* t x) (* y 18.0))
102.0ms	(* (* (* t x) (* y 18.0)) z)

series213.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(fma t a (* x i))
35.0ms	(* (* 27.0 j) k)
41.0ms	(* (* t x) (* y 18.0))
78.0ms	(* (* (* t x) (* y 18.0)) z)

simplify1.6s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	2325
1	366
0	145

prune841.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t a (* x i))
0.3b	(* 27.0 (* k j))
5.3b	(* (* t x) (* y 18.0))
5.8b	(* (* (* t x) (* y 18.0)) z)

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow1` `add-cbrt-cube` `add-exp-log`
24×	`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 → 83

Calls

4 calls:

0.0ms	(fma t a (* x i))
14.0ms	(* 27.0 (* k j))
20.0ms	(* (* t x) (* y 18.0))
93.0ms	(* (* (* t x) (* y 18.0)) z)

series226.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(fma t a (* x i))
36.0ms	(* 27.0 (* k j))
39.0ms	(* (* t x) (* y 18.0))
84.0ms	(* (* (* t x) (* y 18.0)) z)

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	2074
1	355
0	144

prune828.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (* t y)) 18.0)
0.3b	(* 27.0 (* k j))
3.7b	(* x (* t y))
5.8b	(* (* (* x (* t y)) 18.0) z)

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

57.0ms	(* (* x (* t y)) 18.0)
12.0ms	(* 27.0 (* k j))
12.0ms	(* x (* t y))
233.0ms	(* (* (* x (* t y)) 18.0) z)

series189.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* x (* t y)) 18.0)
40.0ms	(* 27.0 (* k j))
39.0ms	(* x (* t y))
73.0ms	(* (* (* x (* t y)) 18.0) z)

simplify1.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2116
1	360
0	141

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes1.8s

Accuracy

65.6% (1.5b remaining)

Error of 1.8b against oracle of 0.2b and baseline of 4.6b

bsearch378.0ms

Steps

Iters	Range		Point
6	6.794562394289223e-30	3.8003873091909475e-29	9.069839166806895e-30
7	-2.413363860705568e+19	-4.588616714924952e+17	-8.175244772453308e+17

simplify10.0ms

Iterations

Iter	Nodes
done	65
1	65
0	47

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.9s

16095×

body

valid