Details

sample41.0ms

Algorithm

intervals

Results

15.0ms

269×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	34	11
3	55	11
4	95	11
5	157	11
6	246	11
7	282	11
8	353	11
9	496	11
10	818	11
11	2304	11
done	5000	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.2b	(* y (/ (- z t) (- a t)))

rewrite104.0ms

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:

33.0ms	(/ (- z t) (- a t))
67.0ms	(* y (/ (- z t) (- a t)))

series173.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(/ (- z t) (- a t))
97.0ms	(* y (/ (- z t) (- a t)))

simplify716.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (170.0ms)

Iter	Nodes	Cost
0	138	1319
1	374	1259
2	1521	1169
done	5000	1169

prune343.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.5b	(/ 1 (/ (- a t) (- z t)))
2.2b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
335×	`add-sqr-sqrt`
323×	`*-un-lft-identity`
157×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
35×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 327

Calls

3 calls:

25.0ms	(/ (- a t) (- z t))
25.0ms	(/ 1 (/ (- a t) (- z t)))
95.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series413.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (- a t) (- z t))
157.0ms	(/ 1 (/ (- a t) (- z t)))
194.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify590.0ms

Counts

336 → 336

Iterations

Useful iterations: done (578.0ms)

Iter	Nodes	Cost
0	351	5446
1	1033	4549
done	5001	4239

prune897.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.0b	(* y (- z t))
8.6b	(* (* y (- z t)) (/ 1 (- a t)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 117

Calls

3 calls:

19.0ms	(/ 1 (- a t))
32.0ms	(* y (- z t))
91.0ms	(* (* y (- z t)) (/ 1 (- a t)))

series175.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ 1 (- a t))
42.0ms	(* y (- z t))
78.0ms	(* (* y (- z t)) (/ 1 (- a t)))

simplify3.2s

Counts

126 → 126

Iterations

Useful iterations: 2 (326.0ms)

Iter	Nodes	Cost
0	162	1373
1	456	1201
2	3071	1014
done	5000	1014

prune372.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (/ (sqrt (- a t)) (- z t)))
0.1b	(* (/ 1 (sqrt (- a t))) (/ 1 (/ (sqrt (- a t)) (- z t))))
0.2b	(/ (sqrt (- a t)) (- z t))
1.2b	(* y (* (/ 1 (sqrt (- a t))) (/ 1 (/ (sqrt (- a t)) (- z t)))))

rewrite439.0ms

Algorithm

rewrite-expression-head

Rules

698×	`times-frac`
605×	`add-sqr-sqrt`
515×	`*-un-lft-identity`
268×	`add-cube-cbrt`
244×	`sqrt-prod`
213×	`add-exp-log`
144×	`associate-r`
109×	`distribute-lft-out--` `difference-of-squares`
92×	`div-exp`
85×	`prod-exp`
61×	`add-cbrt-cube`
51×	`associate-/r*`
35×	`unswap-sqr`
33×	`associate-l`
32×	`rec-exp` `1-exp`
22×	`cbrt-undiv`
20×	`associate-/r/`
19×	`cbrt-unprod`
14×	`pow1`
11×	`div-inv` `associate-/l*`
10×	`flip3--` `flip--`
6×	`associate-*r/` `pow-prod-down`
4×	`sqrt-div` `add-log-exp`
3×	`pow-flip` `inv-pow`
2×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `un-div-inv` `-commutative` `associate-/l/`

Counts

4 → 588

Calls

4 calls:

33.0ms	(/ 1 (/ (sqrt (- a t)) (- z t)))
165.0ms	(* (/ 1 (sqrt (- a t))) (/ 1 (/ (sqrt (- a t)) (- z t))))
22.0ms	(/ (sqrt (- a t)) (- z t))
175.0ms	(* y (* (/ 1 (sqrt (- a t))) (/ 1 (/ (sqrt (- a t)) (- z t)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

464.0ms	(/ 1 (/ (sqrt (- a t)) (- z t)))
159.0ms	(* (/ 1 (sqrt (- a t))) (/ 1 (/ (sqrt (- a t)) (- z t))))
173.0ms	(/ (sqrt (- a t)) (- z t))
219.0ms	(* y (* (/ 1 (sqrt (- a t))) (/ 1 (/ (sqrt (- a t)) (- z t)))))

simplify1.3s

Counts

600 → 600

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	575	13068
1	1946	11076
done	5001	10084

prune1.5s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes243.0ms

Accuracy

41.6% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.4b

bsearch80.0ms

Steps

Iters	Range		Point
5	3.4639301501646947e-99	9.24740580129548e-99	7.263410915894397e-99
8	-8.607335052620534e+67	-1.9345149210569344e+64	-1.9656940792377115e+64

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	45
1	34	45
done	34	45

end0.0ms

sample1.2s

Algorithm

intervals

Results

507.0ms

8679×

body

valid