Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

272×

body

valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	30	9
3	68	9
4	151	9
5	297	9
6	523	9
7	807	9
8	1168	9
9	1726	9
10	1939	9
11	1943	9
done	1943	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- t z))
7.6b	(/ x (* (- y z) (- t z)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
5×	`associate-r` `associate-l`
4×	`pow1` `associate-r/` `associate-l/`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

2 → 85

Calls

2 calls:

24.0ms	(* (- y z) (- t z))
8.0ms	(/ x (* (- y z) (- t z)))

series180.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* (- y z) (- t z))
138.0ms	(/ x (* (- y z) (- t z)))

simplify760.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (139.0ms)

Iter	Nodes	Cost
0	176	1460
1	388	1275
2	1756	1079
done	5001	1079

prune214.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.9b	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt`
42×	`times-frac`
40×	`*-un-lft-identity`
36×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
11×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`flip3--` `flip--` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 118

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
49.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series794.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt x)
213.0ms	(cbrt x)
204.0ms	(cbrt x)
171.0ms	(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify880.0ms

Counts

130 → 130

Iterations

Useful iterations: 2 (188.0ms)

Iter	Nodes	Cost
0	184	1873
1	547	1802
2	2415	1388
done	5000	1388

prune427.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
2.1b	(/ (/ x (- y z)) (- t z))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
176×	`add-sqr-sqrt` `*-un-lft-identity`
88×	`add-cube-cbrt`
44×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 189

Calls

2 calls:

10.0ms	(/ x (- y z))
18.0ms	(/ (/ x (- y z)) (- t z))

series180.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ x (- y z))
145.0ms	(/ (/ x (- y z)) (- t z))

simplify886.0ms

Counts

195 → 195

Iterations

Useful iterations: 2 (212.0ms)

Iter	Nodes	Cost
0	268	3384
1	651	3198
2	2398	3122
done	5001	3122

prune522.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) x)
0.2b	(/ 1 (/ (- y z) x))
2.1b	(/ (/ 1 (/ (- y z) x)) (- t z))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

1054×	`times-frac`
680×	`add-sqr-sqrt` `*-un-lft-identity`
414×	`add-cube-cbrt`
133×	`distribute-lft-out--` `difference-of-squares`
70×	`associate-/l*`
35×	`add-exp-log`
31×	`div-inv`
27×	`associate-/r*`
22×	`div-exp`
19×	`add-cbrt-cube`
10×	`cbrt-undiv`
9×	`associate-/r/`
4×	`pow1` `rec-exp` `1-exp`
3×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
2×	`flip3--` `flip--`
1×	`pow-flip` `div-sub` `inv-pow`

Counts

3 → 544

Calls

3 calls:

9.0ms	(/ (- y z) x)
10.0ms	(/ 1 (/ (- y z) x))
39.0ms	(/ (/ 1 (/ (- y z) x)) (- t z))

series376.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (- y z) x)
83.0ms	(/ 1 (/ (- y z) x))
260.0ms	(/ (/ 1 (/ (- y z) x)) (- t z))

simplify822.0ms

Counts

553 → 553

Iterations

Useful iterations: done (794.0ms)

Iter	Nodes	Cost
0	675	12204
1	1788	10723
done	5001	9485

prune806.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes191.0ms

Accuracy

11.7% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.6b

bsearch99.0ms

Steps

Iters	Range		Point
8	1.3542269813719534e-125	1.8136824079598192e-122	1.5692981510658075e-125
9	5.608873078538286e-259	9.226920354819254e-253	4.0510841144545337e-255

simplify3.0ms

Iterations

Useful iterations: done (2.0ms)

Iter	Nodes	Cost
0	25	47
1	29	45
done	29	43

end0.0ms

sample435.0ms

Algorithm

intervals

Results

222.0ms

8452×

body

valid