Details

sample44.0ms

Algorithm

intervals

Results

22.0ms

332×

body

valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	31	9
3	57	9
4	89	9
5	114	9
6	133	9
7	154	9
8	190	9
9	245	9
10	273	9
11	300	9
12	341	9
13	354	9
14	370	9
15	386	9
16	473	9
17	564	9
18	812	9
19	1138	9
20	1568	9
21	1651	9
22	1656	9
done	1656	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize7.0ms

Local error

Found 1 expressions with local error:

5.8b	(* (/ x y) (- z t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 42

Calls

1 calls:

36.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

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

simplify2.3s

Counts

45 → 45

Iterations

Useful iterations: 2 (175.0ms)

Iter	Nodes	Cost
0	99	475
1	254	466
2	800	410
3	2720	410
done	5000	410

prune135.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.9b	(* (/ x (cbrt y)) (- z t))
4.6b	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-exp-log`
46×	`prod-exp`
35×	`add-cbrt-cube`
32×	`add-sqr-sqrt`
29×	`associate-l`
24×	`*-un-lft-identity`
23×	`times-frac`
22×	`add-cube-cbrt`
20×	`div-exp` `cbrt-unprod`
16×	`cbrt-prod`
11×	`pow1` `frac-times` `associate-*r/`
10×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg` `rec-exp` `flip3--` `1-exp` `associate-r` `flip--`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 141

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
34.0ms	(* (/ x (cbrt y)) (- z t))
101.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

series889.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt y)
283.0ms	(cbrt y)
228.0ms	(* (/ x (cbrt y)) (- z t))
107.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

simplify1.5s

Counts

153 → 153

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	227	2370
1	624	2126
2	2532	1564
done	5002	1333

prune426.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) y)
6.9b	(* x (/ (- z t) y))

rewrite52.0ms

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

Counts

2 → 76

Calls

2 calls:

15.0ms	(/ (- z t) y)
34.0ms	(* x (/ (- z t) y))

series103.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (- z t) y)
65.0ms	(* x (/ (- z t) y))

simplify1.6s

Counts

82 → 82

Iterations

Useful iterations: 3 (716.0ms)

Iter	Nodes	Cost
0	116	831
1	272	783
2	772	721
3	2701	709
done	5002	709

prune180.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

28.0ms	(* (- z t) x)
16.0ms	(/ (* (- z t) x) y)

series106.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* (- z t) x)
64.0ms	(/ (* (- z t) x) y)

simplify2.6s

Counts

51 → 51

Iterations

Useful iterations: 2 (128.0ms)

Iter	Nodes	Cost
0	91	459
1	224	447
2	814	369
3	3808	369
done	5000	369

prune143.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes215.0ms

Accuracy

-4.8% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.2b

bsearch46.0ms

Steps

Iters	Range		Point
9	3991008.2413703846	8957669900665.303	4034252.392433282
1	-5.132897305472796e-288	-4.723113380990579e-288	-4.8255593621111334e-288

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	17	35
1	24	27
done	24	27

end0.0ms

sample1.0s

Algorithm

intervals

Results

621.0ms

10664×

body

valid