Details

sample47.0ms

Algorithm

intervals

Results

18.0ms	270×	body	80	valid
0.0ms	1×	body	160	valid

simplify9.9s

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

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize111.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.0b	(* y (/ (- z t) (- a t)))

rewrite230.0ms

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:

95.0ms	(/ (- z t) (- a t))
115.0ms	(* y (/ (- z t) (- a t)))

series228.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(/ (- z t) (- a t))
129.0ms	(* y (/ (- z t) (- a t)))

simplify8.2s

Counts

110 → 110

Iterations

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

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize148.0ms

Local error

Found 4 expressions with local error:

0.5b	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
2.8b	(cbrt (/ (- z t) (- a t)))
2.8b	(cbrt (/ (- z t) (- a t)))
2.8b	(cbrt (/ (- z t) (- a t)))

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
6×	`associate-/r/`
4×	`associate-*r/` `insert-posit16` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv` `flip--`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

247.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
39.0ms	(cbrt (/ (- z t) (- a t)))
37.0ms	(cbrt (/ (- z t) (- a t)))
30.0ms	(cbrt (/ (- z t) (- a t)))

series2.9s

Counts

4 → 12

Calls

4 calls:

559.0ms	(* y (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))))
791.0ms	(cbrt (/ (- z t) (- a t)))
753.0ms	(cbrt (/ (- z t) (- a t)))
748.0ms	(cbrt (/ (- z t) (- a t)))

simplify5.5s

Counts

158 → 158

Iterations

Iter	Nodes
done	5004
3	2366
2	970
1	456
0	216

prune2.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize365.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.8b	(cbrt (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ (cbrt (- z t)) (cbrt (- a t)))))
2.8b	(cbrt (/ (- z t) (- a t)))
2.8b	(cbrt (/ (- z t) (- a t)))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt` `*-un-lft-identity`
68×	`cbrt-prod`
50×	`times-frac`
27×	`add-cube-cbrt`
21×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-div`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `associate-/r/` `insert-posit16` `add-log-exp`
3×	`flip3--` `flip--`
2×	`div-inv`
1×	`frac-times` `associate-l/` `associate-r/`

Counts

4 → 111

Calls

4 calls:

9.0ms	(cbrt (- z t))
74.0ms	(cbrt (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ (cbrt (- z t)) (cbrt (- a t)))))
21.0ms	(cbrt (/ (- z t) (- a t)))
38.0ms	(cbrt (/ (- z t) (- a t)))

series3.0s

Counts

4 → 12

Calls

4 calls:

678.0ms	(cbrt (- z t))
712.0ms	(cbrt (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ (cbrt (- z t)) (cbrt (- a t)))))
824.0ms	(cbrt (/ (- z t) (- a t)))
747.0ms	(cbrt (/ (- z t) (- a t)))

simplify4.9s

Counts

123 → 123

Iterations

Iter	Nodes
done	5002
3	2205
2	986
1	496
0	248

prune2.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize173.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
1.0b	(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))

rewrite589.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
22×	`associate-*r/` `add-exp-log`
16×	`frac-times` `add-cbrt-cube`
15×	`cbrt-prod` `flip3--` `flip--`
14×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`pow1`
12×	`associate-*l/`
11×	`prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt`
6×	`pow-prod-down`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-l` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp`
1×	`associate-r` `*-commutative`

Counts

4 → 91

Calls

4 calls:

11.0ms	(cbrt (- z t))
9.0ms	(cbrt (- z t))
9.0ms	(cbrt (- z t))
544.0ms	(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))

series1.2s

Counts

4 → 12

Calls

4 calls:

359.0ms	(cbrt (- z t))
313.0ms	(cbrt (- z t))
335.0ms	(cbrt (- z t))
161.0ms	(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))

simplify8.2s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
3	4007
2	1296
1	428
0	169

prune1.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes2.5s

Accuracy

0% (0.5b remaining)

Error of 1.3b against oracle of 0.8b and baseline of 1.3b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

735.0ms	8678×	body	80	valid
0.0ms	1×	body	160	valid