Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

282×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	19	11
2	38	11
3	52	11
4	80	11
5	106	11
6	150	11
7	297	11
8	1079	11
done	5000	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- t (* a z))
8.1b	(/ (- x (* y z)) (- t (* a z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

5.0ms	(- t (* a z))
21.0ms	(/ (- x (* y z)) (- t (* a z)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- t (* a z))
62.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify1.2s

Counts

50 → 50

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	85	724
1	221	706
2	681	652
3	2201	652
done	5000	652

prune130.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.8b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
3.0b	(/ x (- t (* a z)))
3.6b	(* y (/ z (- t (* a z))))
7.6b	(/ z (- t (* a z)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
15×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-/r` `associate-/r/` `associate-/l` `add-log-exp`
4×	`flip3--` `flip--`
3×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l*` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `sub-div`

Counts

4 → 106

Calls

4 calls:

42.0ms	(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
9.0ms	(/ x (- t (* a z)))
23.0ms	(* y (/ z (- t (* a z))))
9.0ms	(/ z (- t (* a z)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
42.0ms	(/ x (- t (* a z)))
48.0ms	(* y (/ z (- t (* a z))))
60.0ms	(/ z (- t (* a z)))

simplify1.7s

Counts

118 → 118

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	159	1582
1	366	1504
2	1011	1386
3	3124	1386
done	5001	1314

prune286.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ t z) a)
0.0b	(- (/ x (- t (* a z))) (* 1 (/ y (- (/ t z) a))))
3.0b	(/ x (- t (* a z)))
3.8b	(/ y (- (/ t z) a))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
10×	`difference-of-squares`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`associate-/l*` `distribute-lft-out--`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`
1×	`associate-*r/` `frac-sub`

Counts

4 → 99

Calls

4 calls:

19.0ms	(- (/ t z) a)
40.0ms	(- (/ x (- t (* a z))) (* 1 (/ y (- (/ t z) a))))
9.0ms	(/ x (- t (* a z)))
26.0ms	(/ y (- (/ t z) a))

series184.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (/ t z) a)
88.0ms	(- (/ x (- t (* a z))) (* 1 (/ y (- (/ t z) a))))
38.0ms	(/ x (- t (* a z)))
34.0ms	(/ y (- (/ t z) a))

simplify1.4s

Counts

111 → 111

Iterations

Useful iterations: 3 (475.0ms)

Iter	Nodes	Cost
0	178	1497
1	370	1389
2	895	1321
3	2389	1319
done	5001	1319

prune280.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.7b

localize19.0ms

Local error

Found 4 expressions with local error:

3.0b	(/ x (- t (* a z)))
9.1b	(cbrt (- (/ t z) a))
9.1b	(cbrt (- (/ t z) a))
9.1b	(cbrt (- (/ t z) a))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
18×	`cbrt-prod`
15×	`add-cube-cbrt`
12×	`times-frac`
6×	`add-exp-log` `cbrt-div` `add-cbrt-cube` `difference-of-squares`
4×	`pow1` `flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l` `distribute-lft-out--`
2×	`associate-/r/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 77

Calls

4 calls:

9.0ms	(/ x (- t (* a z)))
10.0ms	(cbrt (- (/ t z) a))
12.0ms	(cbrt (- (/ t z) a))
11.0ms	(cbrt (- (/ t z) a))

series419.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ x (- t (* a z)))
128.0ms	(cbrt (- (/ t z) a))
126.0ms	(cbrt (- (/ t z) a))
126.0ms	(cbrt (- (/ t z) a))

simplify2.0s

Counts

89 → 89

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	125	1077
1	255	1050
2	576	983
3	1389	956
4	3598	934
done	5000	913

prune325.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.7b

regimes224.0ms

Accuracy

87.8% (0.2b remaining)

Error of 1.6b against oracle of 1.5b and baseline of 3.0b

bsearch77.0ms

Steps

Iters	Range		Point
7	1.3160112691565966e-63	2.747781108407397e-62	6.971341247317711e-63
11	-4.209419363785588e-21	-9.272928394700487e-42	-2.147501379453681e-37

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	23	53
1	31	35
done	31	35

end0.0ms

sample567.0ms

Algorithm

intervals

Results

237.0ms

8768×

body

valid