Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

273×

body

valid

simplify256.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	29	9
3	54	9
4	81	9
5	109	9
6	129	9
7	139	9
8	150	9
9	154	9
10	160	9
11	162	9
done	162	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
11.0b	(/ (* x (- y z)) (- t z))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

31.0ms	(* x (- y z))
30.0ms	(/ (* x (- y z)) (- t z))

series139.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* x (- y z))
98.0ms	(/ (* x (- y z)) (- t z))

simplify715.0ms

Counts

61 → 61

Iterations

Useful iterations: done (713.0ms)

Iter	Nodes	Cost
0	105	599
1	280	575
2	1110	509
done	5001	501

prune183.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- t z))
2.2b	(* x (/ (- y z) (- t z)))

rewrite109.0ms

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:

39.0ms	(/ (- y z) (- t z))
63.0ms	(* x (/ (- y z) (- t z)))

series180.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(/ (- y z) (- t z))
107.0ms	(* x (/ (- y z) (- t z)))

simplify877.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (272.0ms)

Iter	Nodes	Cost
0	138	1319
1	374	1259
2	1521	1169
done	5000	1169

prune265.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- t z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

5.0ms	(cbrt (- t z))
10.0ms	(cbrt (- y z))
4.0ms	(cbrt (- y z))
4.0ms	(cbrt (- y z))

series763.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (- t z))
198.0ms	(cbrt (- y z))
186.0ms	(cbrt (- y z))
167.0ms	(cbrt (- y z))

simplify854.0ms

Counts

72 → 72

Iterations

Useful iterations: done (851.0ms)

Iter	Nodes	Cost
0	114	744
1	231	728
2	576	696
3	1871	656
done	5000	604

prune327.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (cbrt (- y z)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
17×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`cbrt-div`
9×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 63

Calls

4 calls:

7.0ms	(cbrt (- y z))
7.0ms	(cbrt (- y z))
7.0ms	(cbrt (- y z))
8.0ms	(cbrt (cbrt (- y z)))

series759.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(cbrt (- y z))
189.0ms	(cbrt (- y z))
183.0ms	(cbrt (- y z))
222.0ms	(cbrt (cbrt (- y z)))

simplify803.0ms

Counts

75 → 75

Iterations

Useful iterations: done (800.0ms)

Iter	Nodes	Cost
0	110	805
1	225	786
2	528	752
3	1619	715
done	5001	656

prune759.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes232.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	43
1	20	43
done	20	43

end0.0ms

sample926.0ms

Algorithm

intervals

Results

399.0ms

8656×

body

valid