Details

sample38.0ms

Algorithm

intervals

Results

15.0ms

285×

body

valid

simplify871.0ms

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	93	11
5	139	11
6	166	11
7	183	11
8	205	11
9	238	11
10	295	11
11	327	11
12	371	11
13	406	11
14	418	11
done	418	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.3b	(* y (/ (- z t) (- a t)))

rewrite113.0ms

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))
73.0ms	(* y (/ (- z t) (- a t)))

series163.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (- z t) (- a t))
107.0ms	(* y (/ (- z t) (- a t)))

simplify1.7s

Counts

108 → 108

Iterations

Useful iterations: 2 (154.0ms)

Iter	Nodes	Cost
0	138	1319
1	345	1247
2	950	1165
3	2812	1165
done	5001	1165

prune330.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
4.2b	(cbrt (/ (- z t) (- a t)))
4.2b	(cbrt (/ (- z t) (- a t)))
4.2b	(cbrt (/ (- z t) (- a t)))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

134.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
17.0ms	(cbrt (/ (- z t) (- a t)))
13.0ms	(cbrt (/ (- z t) (- a t)))
14.0ms	(cbrt (/ (- z t) (- a t)))

series1.4s

Counts

4 → 12

Calls

4 calls:

332.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
371.0ms	(cbrt (/ (- z t) (- a t)))
345.0ms	(cbrt (/ (- z t) (- a t)))
390.0ms	(cbrt (/ (- z t) (- a t)))

simplify2.0s

Counts

288 → 288

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	291	6459
1	542	6052
2	1406	5920
3	2860	5628
done	5000	5533

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
9.2b	(* (- z t) (/ y (- a t)))

rewrite94.0ms

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

Counts

2 → 83

Calls

2 calls:

17.0ms	(/ y (- a t))
72.0ms	(* (- z t) (/ y (- a t)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ y (- a t))
89.0ms	(* (- z t) (/ y (- a t)))

simplify2.6s

Counts

89 → 89

Iterations

Useful iterations: 2 (163.0ms)

Iter	Nodes	Cost
0	130	977
1	290	931
2	1085	857
3	4338	857
done	5000	857

prune307.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
9.2b	(* (- z t) (* y (/ 1 (- a t))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 117

Calls

3 calls:

12.0ms	(/ 1 (- a t))
32.0ms	(* y (/ 1 (- a t)))
54.0ms	(* (- z t) (* y (/ 1 (- a t))))

series144.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ 1 (- a t))
31.0ms	(* y (/ 1 (- a t)))
74.0ms	(* (- z t) (* y (/ 1 (- a t))))

simplify2.3s

Counts

126 → 126

Iterations

Useful iterations: 2 (159.0ms)

Iter	Nodes	Cost
0	156	1352
1	357	1085
2	934	939
3	3388	939
done	5000	939

prune319.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes213.0ms

Accuracy

-14.8% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.5b

bsearch52.0ms

Steps

Iters	Range		Point
8	-3.518204586301314e-196	-2.669311405549095e-199	-5.99385018195476e-198

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	18	28
1	24	26
done	24	26

end0.0ms

sample1.1s

Algorithm

intervals

Results

474.0ms	8723×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid