Details

sample30.0ms

Algorithm

intervals

Results

11.0ms

280×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	35	11
3	56	11
4	96	11
5	157	11
6	231	11
7	263	11
8	335	11
9	473	11
10	799	11
11	2276	11
done	5000	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.3b	(* y (/ (- z t) (- z a)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

9.0ms	(+ x (* y (/ (- z t) (- z a))))
32.0ms	(/ (- z t) (- z a))
72.0ms	(* y (/ (- z t) (- z a)))

series282.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(+ x (* y (/ (- z t) (- z a))))
61.0ms	(/ (- z t) (- z a))
99.0ms	(* y (/ (- z t) (- z a)))

simplify905.0ms

Counts

122 → 122

Iterations

Useful iterations: done (900.0ms)

Iter	Nodes	Cost
0	162	1555
1	448	1466
2	1785	1374
done	5000	1368

prune373.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- z a)))))
0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
1.3b	(* y (* (- z t) (/ 1 (- z a))))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

15.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
21.0ms	(/ 1 (- z a))
56.0ms	(* (- z t) (/ 1 (- z a)))
65.0ms	(* y (* (- z t) (/ 1 (- z a))))

series299.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(+ x (* y (* (- z t) (/ 1 (- z a)))))
44.0ms	(/ 1 (- z a))
48.0ms	(* (- z t) (/ 1 (- z a)))
104.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify3.8s

Counts

142 → 142

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	182	1728
1	484	1527
2	3193	1234
done	5000	1228

prune390.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
3.6b	(cbrt (/ (- z t) (- z a)))
3.6b	(cbrt (/ (- z t) (- z a)))
3.6b	(cbrt (/ (- z t) (- z a)))

rewrite521.0ms

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/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

457.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
14.0ms	(cbrt (/ (- z t) (- z a)))
26.0ms	(cbrt (/ (- z t) (- z a)))
17.0ms	(cbrt (/ (- z t) (- z a)))

series776.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* y (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))))
199.0ms	(cbrt (/ (- z t) (- z a)))
185.0ms	(cbrt (/ (- z t) (- z a)))
193.0ms	(cbrt (/ (- z t) (- z a)))

simplify1.4s

Counts

154 → 154

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	156	2618
1	303	2514
2	636	2386
3	1938	2355
done	5001	2343

prune648.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.3b	(* y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))))
3.6b	(cbrt (/ (- z t) (- z a)))
3.6b	(cbrt (/ (- z t) (- z a)))
3.6b	(cbrt (/ (- z t) (- z a)))

rewrite456.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 148

Calls

4 calls:

403.0ms	(* y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))))
10.0ms	(cbrt (/ (- z t) (- z a)))
10.0ms	(cbrt (/ (- z t) (- z a)))
16.0ms	(cbrt (/ (- z t) (- z a)))

series679.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* y (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))))
220.0ms	(cbrt (/ (- z t) (- z a)))
191.0ms	(cbrt (/ (- z t) (- z a)))
173.0ms	(cbrt (/ (- z t) (- z a)))

simplify2.2s

Counts

160 → 160

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	169	3014
1	352	2907
2	851	2419
3	3845	2328
done	5000	2319

prune596.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes271.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	17	13
done	17	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

445.0ms	8752×	body	80	valid
0.0ms	1×	body	640	valid