Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

310×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	123
1	11	123
2	20	123
3	37	123
4	53	123
5	73	123
6	86	123
7	122	123
8	224	123
9	469	123
10	1026	123
11	2114	123
12	4250	123
done	5000	123

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
12.8b	(/ (* x (- y z)) y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

18.0ms	(* x (- y z))
14.0ms	(/ (* x (- y z)) y)

series133.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* x (- y z))
87.0ms	(/ (* x (- y z)) y)

simplify2.8s

Counts

55 → 55

Iterations

Useful iterations: 2 (159.0ms)

Iter	Nodes	Cost
0	90	9319
1	230	8454
2	701	8134
3	3400	8134
done	5001	8134

prune234.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- y z))
2.8b	(/ x (/ y (- y z)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

15.0ms	(/ y (- y z))
24.0ms	(/ x (/ y (- y z)))

series122.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(/ y (- y z))
59.0ms	(/ x (/ y (- y z)))

simplify1.9s

Counts

145 → 145

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	218	47197
1	554	43222
2	2297	42084
done	5000	41841

prune664.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) y)
3.0b	(* x (/ (- y z) y))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 76

Calls

2 calls:

20.0ms	(/ (- y z) y)
30.0ms	(* x (/ (- y z) y))

series97.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (- y z) y)
53.0ms	(* x (/ (- y z) y))

simplify2.8s

Counts

82 → 82

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	111	16495
1	276	15318
2	932	15158
3	4082	14998
done	5001	14998

prune387.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

3.0b	(* x (- 1 (/ z y)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
8×	`associate-r`
7×	`*-un-lft-identity`
4×	`difference-of-squares`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `times-frac` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `add-log-exp` `unswap-sqr`

Counts

1 → 29

Calls

1 calls:

58.0ms

(* x (- 1 (/ z y)))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* x (- 1 (/ z y)))

simplify3.6s

Counts

32 → 32

Iterations

Useful iterations: 3 (425.0ms)

Iter	Nodes	Cost
0	62	6026
1	162	5247
2	428	5205
3	1343	5154
done	5000	5154

prune95.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes185.0ms

Accuracy

0.6% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.0b

bsearch35.0ms

Steps

Iters	Range		Point
9	2.5239547065466994e+139	1.347497447004779e+146	2.6711348618870302e+144

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	334
1	12	334
done	12	334

end0.0ms

sample733.0ms

Algorithm

intervals

Results

364.0ms

9627×

body

valid