Details

sample40.0ms

Algorithm

intervals

Results

20.0ms

277×

body

valid

simplify860.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.6b	(* y (/ (- z t) (- z a)))

rewrite115.0ms

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:

42.0ms	(/ (- z t) (- z a))
65.0ms	(* y (/ (- z t) (- z a)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ (- z t) (- z a))
107.0ms	(* y (/ (- z t) (- z a)))

simplify1.7s

Counts

108 → 108

Iterations

Useful iterations: 2 (177.0ms)

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

prune315.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
3.5b	(cbrt (/ (- z t) (- z a)))
3.5b	(cbrt (/ (- z t) (- z a)))
3.5b	(cbrt (/ (- z t) (- z a)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

119.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
9.0ms	(cbrt (/ (- z t) (- z a)))
9.0ms	(cbrt (/ (- z t) (- z a)))
10.0ms	(cbrt (/ (- z t) (- z a)))

series740.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
180.0ms	(cbrt (/ (- z t) (- z a)))
168.0ms	(cbrt (/ (- z t) (- z a)))
175.0ms	(cbrt (/ (- z t) (- z a)))

simplify3.2s

Counts

288 → 288

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	228	6188
1	380	5793
2	987	5677
3	1628	5405
4	3648	5383
done	5001	5308

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.6b	(cbrt (- z t))
3.5b	(cbrt (/ (- z t) (- z a)))
3.5b	(cbrt (/ (- z t) (- z a)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
50×	`times-frac`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `associate-/r/` `add-cbrt-cube` `flip--` `add-log-exp`
2×	`div-inv`

Counts

4 → 110

Calls

4 calls:

6.0ms	(cbrt (- z a))
7.0ms	(cbrt (- z t))
18.0ms	(cbrt (/ (- z t) (- z a)))
9.0ms	(cbrt (/ (- z t) (- z a)))

series765.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (- z a))
197.0ms	(cbrt (- z t))
186.0ms	(cbrt (/ (- z t) (- z a)))
190.0ms	(cbrt (/ (- z t) (- z a)))

simplify2.1s

Counts

122 → 122

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	199	1778
1	377	1716
2	705	1668
3	1334	1638
4	3345	1604
done	5001	1598

prune591.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite98.0ms

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:

19.0ms	(/ y (- z a))
74.0ms	(* (- z t) (/ y (- z a)))

series143.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ y (- z a))
98.0ms	(* (- z t) (/ y (- z a)))

simplify2.6s

Counts

89 → 89

Iterations

Useful iterations: 2 (132.0ms)

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

prune325.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes306.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.4s

Algorithm

intervals

Results

758.0ms	8761×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid