Details

sample141.0ms

Algorithm

intervals

Results

54.0ms

551×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize44.0ms

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))

rewrite289.0ms

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:

26.0ms	(* (* x 18.0) y)
21.0ms	(* (* 27.0 j) k)
65.0ms	(* (* (* x 18.0) y) z)
171.0ms	(* t (* (* (* x 18.0) y) z))

series178.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* x 18.0) y)
35.0ms	(* (* 27.0 j) k)
41.0ms	(* (* (* x 18.0) y) z)
66.0ms	(* t (* (* (* x 18.0) y) z))

simplify1.9s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	2777
1	374
0	142

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize54.0ms

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))
23.0ms	(* (* 27.0 j) k)
40.0ms	(* (* t x) (* y 18.0))
72.0ms	(* (* (* t x) (* y 18.0)) z)

series247.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(fma t a (* x i))
38.0ms	(* (* 27.0 j) k)
44.0ms	(* (* t x) (* y 18.0))
86.0ms	(* (* (* t x) (* y 18.0)) z)

simplify1.8s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	2325
1	366
0	145

prune984.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

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)

rewrite151.0ms

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))
19.0ms	(* 27.0 (* k j))
32.0ms	(* (* t x) (* y 18.0))
95.0ms	(* (* (* t x) (* y 18.0)) z)

series215.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(fma t a (* x i))
31.0ms	(* 27.0 (* k j))
48.0ms	(* (* t x) (* y 18.0))
74.0ms	(* (* (* t x) (* y 18.0)) z)

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	2074
1	355
0	144

prune705.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

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)

rewrite300.0ms

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:

60.0ms	(* (* x (* t y)) 18.0)
21.0ms	(* 27.0 (* k j))
21.0ms	(* x (* t y))
194.0ms	(* (* (* x (* t y)) 18.0) z)

series209.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* x (* t y)) 18.0)
34.0ms	(* 27.0 (* k j))
33.0ms	(* x (* t y))
89.0ms	(* (* (* x (* t y)) 18.0) z)

simplify1.7s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2116
1	360
0	141

prune824.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes1.6s

Accuracy

65.6% (1.5b remaining)

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

bsearch323.0ms

Steps

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

simplify15.0ms

Iterations

Iter	Nodes
done	71
2	71
1	70
0	49

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.9s

16095×

body

valid