Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

284×

body

valid

simplify860.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	36	10
3	58	10
4	95	10
5	138	10
6	190	10
7	215	10
8	245	10
9	281	10
10	372	10
11	488	10
12	594	10
13	748	10
14	779	10
15	780	10
done	780	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.6b	(* y (/ (- z t) (- z a)))

rewrite45.0ms

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` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

12.0ms	(/ (- z t) (- z a))
28.0ms	(* y (/ (- z t) (- z a)))

series122.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- z t) (- z a))
75.0ms	(* y (/ (- z t) (- z a)))

simplify2.1s

Counts

112 → 112

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	142	1355
1	359	1282
2	1133	1200
3	4414	1200
done	5000	1198

prune284.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.3b	(* (- z t) (/ 1 (- z a)))
1.6b	(* y (* (- z t) (/ 1 (- z a))))

rewrite61.0ms

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-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

3 → 125

Calls

3 calls:

6.0ms	(/ 1 (- z a))
26.0ms	(* (- z t) (/ 1 (- z a)))
25.0ms	(* y (* (- z t) (/ 1 (- z a))))

series161.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ 1 (- z a))
47.0ms	(* (- z t) (/ 1 (- z a)))
73.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify2.2s

Counts

134 → 134

Iterations

Useful iterations: 2 (143.0ms)

Iter	Nodes	Cost
0	164	1512
1	396	1232
2	1228	1072
3	4925	1072
done	5000	1072

prune290.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
3.2b	(cbrt (/ (- z t) (- z a)))
3.2b	(cbrt (/ (- z t) (- z a)))
3.2b	(cbrt (/ (- z t) (- z a)))

rewrite109.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 284

Calls

4 calls:

67.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
8.0ms	(cbrt (/ (- z t) (- z a)))
6.0ms	(cbrt (/ (- z t) (- z a)))
6.0ms	(cbrt (/ (- z t) (- z a)))

series600.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
140.0ms	(cbrt (/ (- z t) (- z a)))
143.0ms	(cbrt (/ (- z t) (- z a)))
144.0ms	(cbrt (/ (- z t) (- z a)))

simplify2.0s

Counts

296 → 296

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	232	6278
1	389	5877
2	1069	5761
3	3133	5477
done	5001	5477

prune880.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
3.2b	(cbrt (/ (- z t) (- z a)))
3.2b	(cbrt (/ (- z t) (- z a)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
50×	`times-frac`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `associate-/r/` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`div-inv`

Counts

4 → 118

Calls

4 calls:

2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
6.0ms	(cbrt (/ (- z t) (- z a)))
6.0ms	(cbrt (/ (- z t) (- z a)))

series624.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (- z t))
164.0ms	(cbrt (- z t))
147.0ms	(cbrt (/ (- z t) (- z a)))
143.0ms	(cbrt (/ (- z t) (- z a)))

simplify950.0ms

Counts

130 → 130

Iterations

Useful iterations: 3 (296.0ms)

Iter	Nodes	Cost
0	174	1834
1	329	1766
2	669	1718
3	1803	1684
done	5000	1684

prune642.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes228.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample524.0ms

Algorithm

intervals

Results

268.0ms	8709×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	1×	body	160	valid