Details

sample28.0ms

Algorithm

intervals

Results

9.0ms

294×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	36	10
3	59	10
4	102	10
5	161	10
6	212	10
7	240	10
8	278	10
9	319	10
10	404	10
11	502	10
12	570	10
13	634	10
14	662	10
done	662	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.5b	(* y (/ (- z t) (- a t)))

rewrite96.0ms

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` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

30.0ms	(/ (- z t) (- a t))
55.0ms	(* y (/ (- z t) (- a t)))

series182.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ (- z t) (- a t))
110.0ms	(* y (/ (- z t) (- a t)))

simplify2.1s

Counts

112 → 112

Iterations

Useful iterations: 2 (199.0ms)

Iter	Nodes	Cost
0	142	1355
1	352	1282
2	970	1200
3	2905	1200
done	5000	1200

prune388.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- a t))
4.0ms	(cbrt (- a t))
5.0ms	(cbrt (- a t))

series952.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt (- z t))
235.0ms	(cbrt (- a t))
237.0ms	(cbrt (- a t))
232.0ms	(cbrt (- a t))

simplify3.5s

Counts

80 → 80

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	118	784
1	243	760
2	486	728
3	1047	679
4	2722	631
done	5002	612

prune586.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
13.2b	(* (- z t) (/ y (- a t)))

rewrite99.0ms

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` `expm1-log1p-u` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 87

Calls

2 calls:

12.0ms	(/ y (- a t))
80.0ms	(* (- z t) (/ y (- a t)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ y (- a t))
111.0ms	(* (- z t) (/ y (- a t)))

simplify3.6s

Counts

93 → 93

Iterations

Useful iterations: 2 (239.0ms)

Iter	Nodes	Cost
0	134	1009
1	298	962
2	1104	888
3	4477	888
done	5000	888

prune385.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
0.0b	(/ 1 (- a t))
10.8b	(* (* (- z t) y) (/ 1 (- a t)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
31×	`add-exp-log`
30×	`times-frac`
24×	`add-cube-cbrt` `associate-r`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
8×	`associate-*l/` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `associate-l`
5×	`flip3--` `associate-/r*` `flip--`
4×	`pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`frac-times` `*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

3 → 119

Calls

3 calls:

32.0ms	(* (- z t) y)
13.0ms	(/ 1 (- a t))
63.0ms	(* (* (- z t) y) (/ 1 (- a t)))

series219.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (- z t) y)
55.0ms	(/ 1 (- a t))
125.0ms	(* (* (- z t) y) (/ 1 (- a t)))

simplify1.9s

Counts

128 → 128

Iterations

Useful iterations: 2 (425.0ms)

Iter	Nodes	Cost
0	164	1387
1	398	1157
2	1343	1013
done	5000	1013

prune441.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes432.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	33
1	19	33
done	19	33

end0.0ms

sample994.0ms

Algorithm

intervals

Results

412.0ms	8770×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid