Details

sample28.0ms

Algorithm

intervals

Results

11.0ms	278×	body	80	valid
1.0ms	3×	body	2560	valid
0.0ms	1×	body	1280	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	3320
9	1009
8	523
7	380
6	312
5	207
4	122
3	67
2	39
1	22
0	13

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(fma a 120.0 (/ (* 60.0 (- x y)) (- z t)))
0.7b	(/ (* 60.0 (- x y)) (- z t))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `times-frac` `associate-r*`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 87

Calls

3 calls:

19.0ms	(* 60.0 (- x y))
0.0ms	(fma a 120.0 (/ (* 60.0 (- x y)) (- z t)))
32.0ms	(/ (* 60.0 (- x y)) (- z t))

series255.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* 60.0 (- x y))
125.0ms	(fma a 120.0 (/ (* 60.0 (- x y)) (- z t)))
84.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify1.5s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1840
1	442
0	181

prune553.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma a 120.0 (/ 60.0 (/ (- z t) (- x y))))
0.0b	(/ (- z t) (- x y))
0.4b	(/ 60.0 (/ (- z t) (- x y)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`div-sub` `fma-udef`

Counts

3 → 208

Calls

3 calls:

1.0ms	(fma a 120.0 (/ 60.0 (/ (- z t) (- x y))))
46.0ms	(/ (- z t) (- x y))
23.0ms	(/ 60.0 (/ (- z t) (- x y)))

series623.0ms

Counts

3 → 9

Calls

3 calls:

140.0ms	(fma a 120.0 (/ 60.0 (/ (- z t) (- x y))))
81.0ms	(/ (- z t) (- x y))
402.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.8s

Counts

217 → 217

Iterations

Iter	Nodes
done	5000
2	3924
1	777
0	295

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 60.0 (- z t))
0.0b	(fma a 120.0 (* (/ 60.0 (- z t)) (- x y)))
0.2b	(* (/ 60.0 (- z t)) (- x y))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
35×	`add-cube-cbrt`
31×	`times-frac`
21×	`associate-l`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r` `associate-r*`
4×	`flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`frac-times` `cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `fma-udef`

Counts

3 → 119

Calls

3 calls:

21.0ms	(/ 60.0 (- z t))
0.0ms	(fma a 120.0 (* (/ 60.0 (- z t)) (- x y)))
52.0ms	(* (/ 60.0 (- z t)) (- x y))

series1.6s

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ 60.0 (- z t))
145.0ms	(fma a 120.0 (* (/ 60.0 (- z t)) (- x y)))
1.4s	(* (/ 60.0 (- z t)) (- x y))

simplify2.1s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	2811
1	570
0	216

prune701.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma a 120.0 (* (/ (sqrt 60.0) (- z t)) (* (- x y) (sqrt 60.0))))
0.2b	(* (- x y) (sqrt 60.0))
0.2b	(/ (sqrt 60.0) (- z t))
0.5b	(* (/ (sqrt 60.0) (- z t)) (* (- x y) (sqrt 60.0)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
60×	`times-frac`
43×	`add-cube-cbrt`
41×	`associate-l`
37×	`sqrt-prod`
20×	`add-cbrt-cube` `add-exp-log`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`pow1`
7×	`associate-r` `associate-*l/` `prod-exp` `cbrt-unprod`
6×	`associate-/l*`
5×	`associate-/r*` `flip3--` `flip--`
4×	`expm1-log1p-u` `pow-prod-down` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`frac-times` `associate-r/` `-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `fma-udef`

Counts

4 → 157

Calls

4 calls:

0.0ms	(fma a 120.0 (* (/ (sqrt 60.0) (- z t)) (* (- x y) (sqrt 60.0))))
21.0ms	(* (- x y) (sqrt 60.0))
11.0ms	(/ (sqrt 60.0) (- z t))
73.0ms	(* (/ (sqrt 60.0) (- z t)) (* (- x y) (sqrt 60.0)))

series1.4s

Counts

4 → 12

Calls

4 calls:

443.0ms	(fma a 120.0 (* (/ (sqrt 60.0) (- z t)) (* (- x y) (sqrt 60.0))))
80.0ms	(* (- x y) (sqrt 60.0))
118.0ms	(/ (sqrt 60.0) (- z t))
753.0ms	(* (/ (sqrt 60.0) (- z t)) (* (- x y) (sqrt 60.0)))

simplify2.0s

Counts

169 → 169

Iterations

Iter	Nodes
done	5002
2	2575
1	546
0	212

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes618.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

742.0ms	8493×	body	80	valid
21.0ms	68×	body	1280	valid
12.0ms	29×	body	2560	valid
9.0ms	37×	body	640	valid
3.0ms	15×	body	320	valid
1.0ms	7×	body	160	valid