Details

sample45.0ms

Algorithm

intervals

Results

19.0ms

278×

body

valid

simplify740.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	35	11
3	56	11
4	94	11
5	140	11
6	167	11
7	183	11
8	206	11
9	239	11
10	296	11
11	328	11
12	370	11
13	405	11
14	417	11
done	417	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.5b	(* y (/ (- z t) (- z a)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

23.0ms	(/ (- z t) (- z a))
52.0ms	(* y (/ (- z t) (- z a)))

series137.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (- z t) (- z a))
77.0ms	(* y (/ (- z t) (- z a)))

simplify1.7s

Counts

108 → 108

Iterations

Useful iterations: 2 (185.0ms)

Iter	Nodes	Cost
0	138	1319
1	347	1247
2	946	1165
3	2828	1165
done	5000	1165

prune259.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (- z a) (- z t)))
2.5b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
335×	`add-sqr-sqrt`
323×	`*-un-lft-identity`
157×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
35×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 327

Calls

3 calls:

36.0ms	(/ (- z a) (- z t))
41.0ms	(/ 1 (/ (- z a) (- z t)))
110.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series362.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- z a) (- z t))
123.0ms	(/ 1 (/ (- z a) (- z t)))
185.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify2.0s

Counts

336 → 336

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	348	5434
1	849	4391
2	1788	4010
done	5000	3934

prune829.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.9b	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ (- z a) (- z t))))
1.5b	(/ (cbrt y) (/ (- z a) (- z t)))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

703×	`times-frac`
547×	`add-sqr-sqrt`
536×	`*-un-lft-identity`
276×	`add-cube-cbrt`
197×	`cbrt-prod`
191×	`associate-r`
130×	`distribute-lft-out--` `difference-of-squares`
31×	`associate-/r*`
30×	`add-exp-log`
28×	`associate-/r/`
18×	`add-cbrt-cube`
15×	`div-inv`
13×	`flip3--` `flip--`
9×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow1/3`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

4 → 480

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt y)
162.0ms	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ (- z a) (- z t))))
44.0ms	(/ (cbrt y) (/ (- z a) (- z t)))

series1.2s

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt y)
232.0ms	(cbrt y)
188.0ms	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ (- z a) (- z t))))
543.0ms	(/ (cbrt y) (/ (- z a) (- z t)))

simplify935.0ms

Counts

492 → 492

Iterations

Useful iterations: done (906.0ms)

Iter	Nodes	Cost
0	518	9973
1	1480	9169
done	5000	8845

prune1.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
10.7b	(* (- z t) (/ y (- z a)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-l` `associate-/r*`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 83

Calls

2 calls:

18.0ms	(/ y (- z a))
55.0ms	(* (- z t) (/ y (- z a)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ y (- z a))
79.0ms	(* (- z t) (/ y (- z a)))

simplify2.5s

Counts

89 → 89

Iterations

Useful iterations: 2 (144.0ms)

Iter	Nodes	Cost
0	130	977
1	294	931
2	1096	857
3	4353	857
done	5001	857

prune224.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes203.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

538.0ms	8699×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid