Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

275×

body

valid

simplify530.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	33	11
3	53	11
4	85	11
5	115	11
6	143	11
7	161	11
8	186	11
9	220	11
10	286	11
11	375	11
12	421	11
13	498	11
14	519	11
done	519	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.6b	(* y (/ (- z t) (- a t)))

rewrite38.0ms

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:

10.0ms	(/ (- z t) (- a t))
23.0ms	(* y (/ (- z t) (- a t)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- z t) (- a t))
64.0ms	(* y (/ (- z t) (- a t)))

simplify1.1s

Counts

108 → 108

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	138	1319
1	350	1247
2	917	1165
3	2779	1165
done	5000	1163

prune225.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.6b	(* y (/ (- z t) (- a t)))
4.8b	(cbrt (* y (/ (- z t) (- a t))))
4.8b	(cbrt (* y (/ (- z t) (- a t))))
4.8b	(cbrt (* y (/ (- z t) (- a t))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

37.0ms	(* y (/ (- z t) (- a t)))
6.0ms	(cbrt (* y (/ (- z t) (- a t))))
6.0ms	(cbrt (* y (/ (- z t) (- a t))))
7.0ms	(cbrt (* y (/ (- z t) (- a t))))

series699.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* y (/ (- z t) (- a t)))
214.0ms	(cbrt (* y (/ (- z t) (- a t))))
208.0ms	(cbrt (* y (/ (- z t) (- a t))))
210.0ms	(cbrt (* y (/ (- z t) (- a t))))

simplify1.1s

Counts

92 → 92

Iterations

Useful iterations: 3 (564.0ms)

Iter	Nodes	Cost
0	143	1172
1	336	1118
2	936	995
3	3115	974
done	5001	974

prune312.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

8.3b	(* (- z t) (/ y (- a t)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 46

Calls

1 calls:

22.0ms

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify2.8s

Counts

49 → 49

Iterations

Useful iterations: 2 (124.0ms)

Iter	Nodes	Cost
0	109	597
1	264	568
2	1037	514
3	4804	514
done	5000	514

prune146.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
11.4b	(/ (* y (- z t)) (- a t))

rewrite20.0ms

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:

9.0ms	(* y (- z t))
9.0ms	(/ (* y (- z t)) (- a t))

series100.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* y (- z t))
66.0ms	(/ (* y (- z t)) (- a t))

simplify1.2s

Counts

61 → 61

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	105	599
1	264	575
2	847	501
3	3535	501
done	5000	499

prune125.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes168.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample544.0ms

Algorithm

intervals

Results

280.0ms	8721×	body	80	valid
0.0ms	1×	body	2560	valid