Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

284×

body

valid

simplify103.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	17	9
2	24	9
3	48	9
4	67	9
5	92	9
6	109	9
7	125	9
8	136	9
9	141	9
done	141	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (- x y) (- z y))
1.4b	(* (/ (- x y) (- z y)) t)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
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-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

10.0ms	(/ (- x y) (- z y))
26.0ms	(* (/ (- x y) (- z y)) t)

series167.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (- x y) (- z y))
108.0ms	(* (/ (- x y) (- z y)) t)

simplify1.7s

Counts

108 → 108

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	143	1303
1	361	1269
2	948	1185
3	2988	1185
done	5001	1183

prune242.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.2b	(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`associate-l`
26×	`times-frac`
18×	`add-cube-cbrt`
16×	`add-exp-log`
12×	`add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `cbrt-prod`
6×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `unswap-sqr`
1×	`flip3--` `associate-r` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

4 → 86

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)
34.0ms	(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

series841.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt t)
196.0ms	(cbrt t)
202.0ms	(cbrt t)
250.0ms	(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

simplify2.2s

Counts

98 → 98

Iterations

Useful iterations: 3 (988.0ms)

Iter	Nodes	Cost
0	120	1072
1	330	1050
2	952	828
3	4551	819
done	5000	819

prune483.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
6.8b	(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log`
31×	`prod-exp` `add-cbrt-cube`
18×	`cbrt-unprod`
17×	`div-exp`
15×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `cbrt-undiv` `add-cube-cbrt`
7×	`associate-l`
6×	`cbrt-div` `1-exp`
4×	`add-log-exp`
3×	`flip3--` `times-frac` `pow1/3` `pow-prod-down` `associate-*l/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 90

Calls

4 calls:

2.0ms	(cbrt (- x y))
2.0ms	(cbrt (- x y))
2.0ms	(cbrt (- x y))
53.0ms	(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series599.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (- x y))
164.0ms	(cbrt (- x y))
162.0ms	(cbrt (- x y))
107.0ms	(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify841.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (172.0ms)

Iter	Nodes	Cost
0	163	1949
1	468	1739
2	1444	1162
done	5000	1162

prune284.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (pow (cbrt (- x y)) 3) (- z y))
0.6b	(cbrt (- x y))
0.7b	(pow (cbrt (- x y)) 3)
1.4b	(* t (/ (pow (cbrt (- x y)) 3) (- z y)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

271×	`add-sqr-sqrt`
252×	`*-un-lft-identity`
226×	`times-frac`
127×	`cbrt-prod`
116×	`associate-r`
112×	`add-cube-cbrt`
98×	`unpow-prod-down` `cube-prod`
70×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/l*`
20×	`add-exp-log`
13×	`sqr-pow`
12×	`cube-mult` `unpow3`
11×	`add-cbrt-cube`
7×	`pow1` `unswap-sqr`
6×	`cbrt-div` `div-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`cube-div` `prod-exp` `associate-/r/` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `associate-l` `pow-exp`
2×	`cbrt-undiv` `pow-pow` `pow1/3` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `rem-cube-cbrt`

Counts

4 → 348

Calls

4 calls:

21.0ms	(/ (pow (cbrt (- x y)) 3) (- z y))
2.0ms	(cbrt (- x y))
5.0ms	(pow (cbrt (- x y)) 3)
61.0ms	(* t (/ (pow (cbrt (- x y)) 3) (- z y)))

series431.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (pow (cbrt (- x y)) 3) (- z y))
165.0ms	(cbrt (- x y))
140.0ms	(pow (cbrt (- x y)) 3)
71.0ms	(* t (/ (pow (cbrt (- x y)) 3) (- z y)))

simplify932.0ms

Counts

360 → 360

Iterations

Useful iterations: 2 (387.0ms)

Iter	Nodes	Cost
0	323	5986
1	779	4505
2	2576	4194
done	5000	4194

prune567.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	9	9
done	9	9

end0.0ms

sample477.0ms

Algorithm

intervals

Results

240.0ms

8752×

body

valid