Details

sample46.0ms

Algorithm

intervals

Results

21.0ms

272×

body

valid

simplify595.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	203
8	203
7	201
6	182
5	156
4	117
3	74
2	42
1	19
0	10

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2.0 (- y t))
6.1b	(* (/ 2.0 (- y t)) (/ x z))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
43×	`times-frac`
42×	`*-un-lft-identity`
28×	`add-cube-cbrt`
21×	`associate-l`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`cbrt-undiv` `associate-/r*` `div-exp`
4×	`pow1` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
3×	`div-inv` `associate-/l*`
2×	`flip3--` `insert-posit16` `flip--` `add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 97

Calls

2 calls:

43.0ms	(/ 2.0 (- y t))
138.0ms	(* (/ 2.0 (- y t)) (/ x z))

series367.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(/ 2.0 (- y t))
286.0ms	(* (/ 2.0 (- y t)) (/ x z))

simplify3.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1404
1	455
0	161

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (- y t))
0.2b	(* (/ 2.0 (- y t)) x)
4.7b	(/ (* (/ 2.0 (- y t)) x) z)

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
34×	`times-frac`
25×	`add-cube-cbrt`
21×	`associate-l`
19×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/r*`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l*`
3×	`associate-r` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `associate-*l/` `flip--` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 104

Calls

3 calls:

28.0ms	(/ 2.0 (- y t))
59.0ms	(* (/ 2.0 (- y t)) x)
51.0ms	(/ (* (/ 2.0 (- y t)) x) z)

series516.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ 2.0 (- y t))
166.0ms	(* (/ 2.0 (- y t)) x)
285.0ms	(/ (* (/ 2.0 (- y t)) x) z)

simplify3.0s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	1200
1	373
0	156

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize112.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (- y t))
0.2b	(* (/ 2.0 (- y t)) x)
4.8b	(* (* (/ 2.0 (- y t)) x) (/ 1 z))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt` `add-exp-log`
44×	`*-un-lft-identity`
40×	`times-frac`
31×	`add-cbrt-cube`
30×	`add-cube-cbrt`
22×	`associate-l` `prod-exp`
16×	`associate-r`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `distribute-lft-out--` `difference-of-squares`
5×	`associate-/r*`
4×	`pow-prod-down` `associate-*l/` `associate-/r/`
3×	`rec-exp` `1-exp` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
2×	`flip3--` `*-commutative` `flip--` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `associate-*r/` `un-div-inv`

Counts

3 → 126

Calls

3 calls:

37.0ms	(/ 2.0 (- y t))
80.0ms	(* (/ 2.0 (- y t)) x)
133.0ms	(* (* (/ 2.0 (- y t)) x) (/ 1 z))

series478.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ 2.0 (- y t))
178.0ms	(* (/ 2.0 (- y t)) x)
224.0ms	(* (* (/ 2.0 (- y t)) x) (/ 1 z))

simplify3.8s

Counts

135 → 135

Iterations

Iter	Nodes
done	5003
2	1607
1	504
0	194

prune1.6s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize141.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (sqrt 2.0) (- y t)) x)
0.4b	(* (/ (sqrt 2.0) 1) (* (/ (sqrt 2.0) (- y t)) x))
0.5b	(/ (sqrt 2.0) (- y t))
4.8b	(* (* (/ (sqrt 2.0) 1) (* (/ (sqrt 2.0) (- y t)) x)) (/ 1 z))

rewrite878.0ms

Algorithm

rewrite-expression-head

Rules

215×	`add-exp-log`
117×	`prod-exp`
97×	`add-cbrt-cube`
95×	`add-sqr-sqrt`
89×	`times-frac`
87×	`*-un-lft-identity`
67×	`div-exp`
61×	`add-cube-cbrt`
59×	`associate-l`
46×	`cbrt-unprod`
43×	`sqrt-prod`
25×	`1-exp`
24×	`cbrt-undiv`
20×	`pow1`
17×	`associate-r`
13×	`associate-*l/` `distribute-lft-out--` `difference-of-squares`
10×	`rec-exp` `pow-prod-down`
6×	`frac-times` `associate-/l*`
5×	`associate-/r*`
4×	`associate-*r/` `associate-/r/` `insert-posit16` `div-inv` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`flip3--` `flip--`
1×	`clear-num` `frac-2neg` `un-div-inv`

Counts

4 → 253

Calls

4 calls:

92.0ms	(* (/ (sqrt 2.0) (- y t)) x)
153.0ms	(* (/ (sqrt 2.0) 1) (* (/ (sqrt 2.0) (- y t)) x))
25.0ms	(/ (sqrt 2.0) (- y t))
549.0ms	(* (* (/ (sqrt 2.0) 1) (* (/ (sqrt 2.0) (- y t)) x)) (/ 1 z))

series1.3s

Counts

4 → 12

Calls

4 calls:

243.0ms	(* (/ (sqrt 2.0) (- y t)) x)
392.0ms	(* (/ (sqrt 2.0) 1) (* (/ (sqrt 2.0) (- y t)) x))
125.0ms	(/ (sqrt 2.0) (- y t))
578.0ms	(* (* (/ (sqrt 2.0) 1) (* (/ (sqrt 2.0) (- y t)) x)) (/ 1 z))

simplify5.3s

Counts

265 → 265

Iterations

Iter	Nodes
done	5002
2	2237
1	833
0	318

prune2.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes1.2s

Accuracy

54.4% (2.5b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 5.6b

bsearch46.0ms

Steps

Iters	Range		Point
2	1.6497397814610973e-126	1.882825313718476e-126	1.8536896221863033e-126
3	-5.551886189045924e+39	-4.4965085224381055e+39	-5.4355961856746975e+39

simplify10.0ms

Iterations

Iter	Nodes
done	29
1	29
0	20

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

8685×

body

valid