Details

sample50.0ms

Algorithm

intervals

Results

21.0ms

273×

body

valid

simplify965.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	1412
8	514
7	233
6	164
5	138
4	102
3	65
2	37
1	23
0	14

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.4b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(* z (- a t))
0.7b	(- (* y x) (* z (- a t)))
22.6b	(/ (- (* y x) (* z (- a t))) (+ y (* z (- b y))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt`
10×	`add-cbrt-cube` `associate-r` `add-exp-log`
9×	`times-frac`
8×	`pow1`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `add-log-exp`
4×	`flip3--` `associate-*r/` `flip--` `associate--r+`
3×	`associate-/r` `associate-/l`
2×	`pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `flip-+` `div-inv`

Counts

4 → 100

Calls

4 calls:

16.0ms	(* z (- b y))
18.0ms	(* z (- a t))
20.0ms	(- (* y x) (* z (- a t)))
35.0ms	(/ (- (* y x) (* z (- a t))) (+ y (* z (- b y))))

series771.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* z (- b y))
48.0ms	(* z (- a t))
73.0ms	(- (* y x) (* z (- a t)))
588.0ms	(/ (- (* y x) (* z (- a t))) (+ y (* z (- b y))))

simplify1.0s

Counts

112 → 112

Iterations

Iter	Nodes
done	5002
2	1785
1	452
0	173

prune654.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 18.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* y x) (+ (* z (- b y)) y)) (* (/ z (+ (* z (- b y)) y)) (- a t)))
6.0b	(* (/ z (+ (* z (- b y)) y)) (- a t))
12.1b	(/ z (+ (* z (- b y)) y))
14.5b	(/ (* y x) (+ (* z (- b y)) y))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
22×	`times-frac` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
15×	`associate-l`
6×	`pow1` `associate-/r*` `associate-/r/` `add-log-exp`
5×	`sub-neg` `flip3--` `associate-r` `frac-sub` `flip--`
4×	`distribute-rgt-in` `frac-times` `cbrt-undiv` `distribute-lft-in` `div-exp` `associate-r/` `associate-/l` `associate--r+`
3×	`flip3-+` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`
2×	`clear-num` `frac-2neg` `unswap-sqr`
1×	`diff-log` `pow-prod-down` `*-commutative` `distribute-lft-out--` `sub-div` `difference-of-squares`

Counts

4 → 118

Calls

4 calls:

139.0ms	(- (/ (* y x) (+ (* z (- b y)) y)) (* (/ z (+ (* z (- b y)) y)) (- a t)))
74.0ms	(* (/ z (+ (* z (- b y)) y)) (- a t))
16.0ms	(/ z (+ (* z (- b y)) y))
40.0ms	(/ (* y x) (+ (* z (- b y)) y))

series1.6s

Counts

4 → 12

Calls

4 calls:

806.0ms	(- (/ (* y x) (+ (* z (- b y)) y)) (* (/ z (+ (* z (- b y)) y)) (- a t)))
504.0ms	(* (/ z (+ (* z (- b y)) y)) (- a t))
86.0ms	(/ z (+ (* z (- b y)) y))
169.0ms	(/ (* y x) (+ (* z (- b y)) y))

simplify1.7s

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
2	3444
1	621
0	208

prune985.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.9b

localize51.0ms

Local error

Found 4 expressions with local error:

12.1b	(/ z (+ (* z (- b y)) y))
12.7b	(cbrt (+ y (* (- b y) z)))
12.7b	(cbrt (+ y (* (- b y) z)))
12.7b	(cbrt (+ y (* (- b y) z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`cbrt-div` `add-cbrt-cube` `add-exp-log`
4×	`pow1` `flip3-+` `flip-+` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 68

Calls

4 calls:

16.0ms	(/ z (+ (* z (- b y)) y))
2.0ms	(cbrt (+ y (* (- b y) z)))
2.0ms	(cbrt (+ y (* (- b y) z)))
3.0ms	(cbrt (+ y (* (- b y) z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

113.0ms	(/ z (+ (* z (- b y)) y))
316.0ms	(cbrt (+ y (* (- b y) z)))
319.0ms	(cbrt (+ y (* (- b y) z)))
283.0ms	(cbrt (+ y (* (- b y) z)))

simplify550.0ms

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	973
1	294
0	127

prune832.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 11.9b

localize40.0ms

Local error

Found 4 expressions with local error:

4.6b	(/ (+ y (* (- b y) z)) x)
6.0b	(* (/ z (+ (* z (- b y)) y)) (- a t))
10.4b	(/ y (/ (+ y (* (- b y) z)) x))
12.1b	(/ z (+ (* z (- b y)) y))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

103×	`times-frac`
77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
70×	`add-cube-cbrt`
19×	`associate-/r*`
18×	`add-cbrt-cube` `add-exp-log`
15×	`associate-l`
9×	`associate-/l*`
8×	`div-inv`
6×	`pow1` `cbrt-undiv` `div-exp`
5×	`associate-r` `associate-/r/`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg` `flip3-+` `flip-+`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `flip3--` `prod-exp` `associate-*r/` `cbrt-unprod` `flip--` `unswap-sqr` `associate-/l/`
1×	`pow-prod-down` `associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 172

Calls

4 calls:

37.0ms	(/ (+ y (* (- b y) z)) x)
74.0ms	(* (/ z (+ (* z (- b y)) y)) (- a t))
20.0ms	(/ y (/ (+ y (* (- b y) z)) x))
26.0ms	(/ z (+ (* z (- b y)) y))

series1.2s

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (+ y (* (- b y) z)) x)
627.0ms	(* (/ z (+ (* z (- b y)) y)) (- a t))
362.0ms	(/ y (/ (+ y (* (- b y) z)) x))
129.0ms	(/ z (+ (* z (- b y)) y))

simplify1.5s

Counts

184 → 184

Iterations

Iter	Nodes
done	5000
2	4035
1	817
0	299

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 10.3b

regimes883.0ms

Accuracy

0.8% (5.0b remaining)

Error of 15.1b against oracle of 10.1b and baseline of 15.2b

bsearch99.0ms

Steps

Iters	Range		Point
7	1.7633145377789317e-52	5.2541153509153604e-51	4.9977897467974334e-51

simplify3.0ms

Iterations

Iter	Nodes
done	37
1	37
0	32

end0.0ms

sample1.6s

Algorithm

intervals

Results

936.0ms

8414×

body

valid