Details

sample45.0ms

Algorithm

intervals

Results

18.0ms

277×

body

valid

simplify5.7s

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: 12.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- t (* a z))
11.7b	(/ (- x (* y z)) (- t (* a z)))

rewrite34.0ms

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))
28.0ms	(/ (- x (* y z)) (- t (* a z)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- t (* a z))
88.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify1.6s

Counts

50 → 50

Iterations

Useful iterations: 2 (133.0ms)

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

prune143.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
2.0b	(* y (/ z (- t (* a z))))
3.9b	(/ x (- t (* a z)))
10.2b	(/ z (- t (* a z)))

rewrite102.0ms

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:

56.0ms	(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
24.0ms	(* y (/ z (- t (* a z))))
9.0ms	(/ x (- t (* a z)))
9.0ms	(/ z (- t (* a z)))

series322.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
67.0ms	(* y (/ z (- t (* a z))))
46.0ms	(/ x (- t (* a z)))
79.0ms	(/ z (- t (* a z)))

simplify2.3s

Counts

118 → 118

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	159	1582
1	366	1504
2	1007	1386
3	3127	1386
done	5001	1314

prune400.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ t z) a)
0.0b	(- (/ x (- t (* a z))) (pow (/ y (- (/ t z) a)) 1))
2.3b	(/ y (- (/ t z) a))
3.9b	(/ x (- t (* a z)))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
38×	`times-frac`
35×	`*-un-lft-identity`
23×	`add-cube-cbrt`
18×	`difference-of-squares`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`associate-/l*` `distribute-lft-out--`
4×	`pow1` `unpow-prod-down` `flip3--` `associate-/r/` `flip--`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv` `sqr-pow`

Counts

4 → 106

Calls

4 calls:

35.0ms	(- (/ t z) a)
206.0ms	(- (/ x (- t (* a z))) (pow (/ y (- (/ t z) a)) 1))
38.0ms	(/ y (- (/ t z) a))
9.0ms	(/ x (- t (* a z)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (/ t z) a)
109.0ms	(- (/ x (- t (* a z))) (pow (/ y (- (/ t z) a)) 1))
60.0ms	(/ y (- (/ t z) a))
54.0ms	(/ x (- t (* a z)))

simplify1.6s

Counts

118 → 118

Iterations

Useful iterations: 3 (512.0ms)

Iter	Nodes	Cost
0	194	1791
1	387	1645
2	914	1573
3	2425	1565
done	5000	1565

prune478.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- t (* a z))
11.7b	(/ (- x (* y z)) (- t (* a z)))

rewrite31.0ms

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:

10.0ms	(- t (* a z))
19.0ms	(/ (- x (* y z)) (- t (* a z)))

series145.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- t (* a z))
100.0ms	(/ (- x (* y z)) (- t (* a z)))

simplify1.8s

Counts

50 → 50

Iterations

Useful iterations: 2 (91.0ms)

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

prune159.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.2b

regimes485.0ms

Accuracy

93.9% (0.5b remaining)

Error of 2.0b against oracle of 1.5b and baseline of 10.4b

bsearch1.0ms

simplify21.0ms

Iterations

Useful iterations: 4 (9.0ms)

Iter	Nodes	Cost
0	32	138
1	39	115
2	42	105
3	48	88
4	51	87
5	54	87
6	55	87
7	56	87
done	56	87

end0.0ms

sample1.2s

Algorithm

intervals

Results

600.0ms

8749×

body

valid