Details

sample50.0ms

Algorithm

intervals

Results

17.0ms

283×

body

valid

simplify8.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
29	4873
28	4661
27	4456
26	4244
25	4037
24	3825
23	3620
22	3408
21	3199
20	2984
19	2775
18	2560
17	2343
16	2094
15	1816
14	1445
13	1266
12	898
11	542
10	315
9	258
8	217
7	197
6	168
5	129
4	86
3	53
2	34
1	20
0	10

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.4b	(* y (/ (- z t) (- a t)))

rewrite170.0ms

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-cbrt-cube` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 104

Calls

2 calls:

31.0ms	(/ (- z t) (- a t))
120.0ms	(* y (/ (- z t) (- a t)))

series213.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ (- z t) (- a t))
138.0ms	(* y (/ (- z t) (- a t)))

simplify7.5s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
3	4766
2	1143
1	370
0	140

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize89.0ms

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)))

rewrite360.0ms

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--` `div-inv` `flip--`
6×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 280

Calls

4 calls:

239.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
27.0ms	(cbrt (/ (- z t) (- a t)))
26.0ms	(cbrt (/ (- z t) (- a t)))
18.0ms	(cbrt (/ (- z t) (- a t)))

series3.2s

Counts

4 → 12

Calls

4 calls:

774.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
748.0ms	(cbrt (/ (- z t) (- a t)))
810.0ms	(cbrt (/ (- z t) (- a t)))
896.0ms	(cbrt (/ (- z t) (- a t)))

simplify5.4s

Counts

292 → 292

Iterations

Iter	Nodes
done	5004
3	2838
2	1231
1	570
0	293

prune4.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize290.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
1.6b	(cbrt (/ (cbrt (- z t)) (- a t)))
1.6b	(cbrt (/ (cbrt (- z t)) (- a t)))
4.2b	(cbrt (/ (- z t) (- a t)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

178×	`cbrt-prod`
128×	`add-sqr-sqrt` `*-un-lft-identity`
105×	`times-frac`
54×	`add-cube-cbrt`
37×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
5×	`cbrt-div`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `flip--` `add-log-exp`
3×	`div-inv`

Counts

4 → 169

Calls

4 calls:

6.0ms	(cbrt (- z t))
15.0ms	(cbrt (/ (cbrt (- z t)) (- a t)))
22.0ms	(cbrt (/ (cbrt (- z t)) (- a t)))
26.0ms	(cbrt (/ (- z t) (- a t)))

series3.2s

Counts

4 → 12

Calls

4 calls:

349.0ms	(cbrt (- z t))
1.0s	(cbrt (/ (cbrt (- z t)) (- a t)))
1.0s	(cbrt (/ (cbrt (- z t)) (- a t)))
819.0ms	(cbrt (/ (- z t) (- a t)))

simplify5.4s

Counts

181 → 181

Iterations

Iter	Nodes
done	5000
3	3283
2	1181
1	593
0	320

prune3.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
6.7b	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

rewrite310.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
50×	`times-frac`
46×	`associate-r`
42×	`cbrt-prod`
28×	`add-cube-cbrt`
25×	`add-exp-log`
20×	`cbrt-div`
18×	`add-cbrt-cube`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-l/` `associate-r/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 140

Calls

4 calls:

8.0ms	(cbrt (- a t))
6.0ms	(cbrt (- a t))
6.0ms	(cbrt (- a t))
262.0ms	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

series1.3s

Counts

4 → 12

Calls

4 calls:

309.0ms	(cbrt (- a t))
349.0ms	(cbrt (- a t))
387.0ms	(cbrt (- a t))
297.0ms	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

simplify5.1s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
2	2334
1	668
0	226

prune2.2s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes2.4s

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

580.0ms	8716×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	1280	valid