Details

sample23.0ms

Algorithm

intervals

Results

8.0ms	278×	body	80	valid
0.0ms	1×	body	640	valid

simplify86.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	20	5
1	36	4
2	59	4
3	103	4
4	173	4
5	236	4
6	265	4
7	311	4
8	375	4
9	511	4
10	674	4
11	1179	4
12	1300	4
13	1308	4
14	1308	4
done	1308	4

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.4b	(* y (/ (- z t) (- a t)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

7.0ms	(+ x (* y (/ (- z t) (- a t))))
24.0ms	(/ (- z t) (- a t))
47.0ms	(* y (/ (- z t) (- a t)))

series249.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(+ x (* y (/ (- z t) (- a t))))
63.0ms	(/ (- z t) (- a t))
80.0ms	(* y (/ (- z t) (- a t)))

simplify63.0ms

Counts

131 → 131

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	433	776
1	1705	730
2	5002	730
done	5002	730

prune363.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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

series740.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (- a t))
186.0ms	(cbrt (- z t))
177.0ms	(cbrt (- z t))
194.0ms	(cbrt (- z t))

simplify65.0ms

Counts

80 → 80

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	241	452
1	531	432
2	1470	420
3	5002	392
done	5002	392

prune405.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.3b	(fma y (/ (- z t) (- a t)) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

28.0ms	(/ (- z t) (- a t))
0.0ms	(fma y (/ (- z t) (- a t)) x)

series155.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(/ (- z t) (- a t))
91.0ms	(fma y (/ (- z t) (- a t)) x)

simplify70.0ms

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	258	433
1	707	410
2	2404	410
3	5003	410
done	5003	410

prune465.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (- a t) (- z t)))
1.3b	(fma y (/ 1 (/ (- a t) (- z t))) x)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

24.0ms	(/ (- a t) (- z t))
30.0ms	(/ 1 (/ (- a t) (- z t)))
0.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

series477.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- a t) (- z t))
154.0ms	(/ 1 (/ (- a t) (- z t)))
268.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify91.0ms

Counts

223 → 223

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	620	1891
1	2762	1708
2	5002	1537
done	5002	1537

prune436.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes226.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	19
1	19	19
done	19	19

end0.0ms

sample601.0ms

Algorithm

intervals

Results

256.0ms	8784×	body	80	valid
0.0ms	1×	body	640	valid