Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

284×

body

valid

simplify539.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	34	11
3	54	11
4	86	11
5	116	11
6	144	11
7	161	11
8	187	11
9	221	11
10	287	11
11	376	11
12	422	11
13	499	11
14	520	11
done	520	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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:

11.0ms	(/ (- z t) (- z a))
26.0ms	(* y (/ (- z t) (- z a)))

series107.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- z t) (- z a))
60.0ms	(* y (/ (- z t) (- z a)))

simplify1.3s

Counts

108 → 108

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	138	1319
1	352	1247
2	913	1165
3	2792	1165
done	5000	1163

prune238.0ms

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))))

rewrite64.0ms

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` `rec-exp` `1-exp` `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 → 119

Calls

3 calls:

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

series139.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ 1 (- z a))
44.0ms	(* (- z t) (/ 1 (- z a)))
61.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify2.6s

Counts

128 → 128

Iterations

Useful iterations: 2 (140.0ms)

Iter	Nodes	Cost
0	158	1456
1	386	1185
2	1148	1025
3	4633	1025
done	5000	1025

prune242.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

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)))

rewrite108.0ms

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:

69.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
6.0ms	(cbrt (/ (- z t) (- z a)))
6.0ms	(cbrt (/ (- z t) (- z a)))
6.0ms	(cbrt (/ (- z t) (- z a)))

series529.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
127.0ms	(cbrt (/ (- z t) (- z a)))
122.0ms	(cbrt (/ (- z t) (- z a)))
127.0ms	(cbrt (/ (- z t) (- z a)))

simplify3.5s

Counts

288 → 288

Iterations

Useful iterations: 4 (2.5s)

Iter	Nodes	Cost
0	228	6188
1	381	5793
2	990	5677
3	2545	5405
4	4642	5383
done	5000	5383

prune840.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize29.0ms

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)))

rewrite22.0ms

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` `flip3--` `pow1/3` `associate-/r/` `add-cbrt-cube` `flip--` `add-log-exp`
2×	`div-inv`

Counts

4 → 110

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)))

series566.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (- z t))
147.0ms	(cbrt (- z t))
135.0ms	(cbrt (/ (- z t) (- z a)))
130.0ms	(cbrt (/ (- z t) (- z a)))

simplify1.3s

Counts

122 → 122

Iterations

Useful iterations: 4 (639.0ms)

Iter	Nodes	Cost
0	170	1778
1	318	1716
2	591	1668
3	1161	1636
4	2980	1604
done	5000	1604

prune590.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes219.0ms

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

sample534.0ms

Algorithm

intervals

Results

274.0ms	8709×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	1×	body	160	valid