Details

sample66.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
15.0ms	282×	body	80	nan

simplify300.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	16	8
3	23	8
4	41	8
5	60	8
6	69	8
7	81	8
8	102	8
9	136	8
10	155	8
11	172	8
12	178	8
done	178	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.3b	(* x (log (/ x y)))
17.5b	(log (/ x y))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

65×	`log-prod`
45×	`times-frac`
42×	`add-sqr-sqrt`
40×	`add-cube-cbrt` `*-un-lft-identity`
26×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
8×	`add-exp-log`
7×	`pow1`
5×	`add-cbrt-cube` `div-inv` `add-log-exp`
4×	`associate-r`
3×	`associate-l`
2×	`rem-log-exp` `log-pow`
1×	`sub-neg` `log-div` `flip3--` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

3 → 107

Calls

3 calls:

27.0ms	(- (* x (log (/ x y))) z)
13.0ms	(* x (log (/ x y)))
3.0ms	(log (/ x y))

series209.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(- (* x (log (/ x y))) z)
64.0ms	(* x (log (/ x y)))
52.0ms	(log (/ x y))

simplify1.4s

Counts

116 → 116

Iterations

Useful iterations: 3 (653.0ms)

Iter	Nodes	Cost
0	192	1277
1	341	1212
2	654	1146
3	1846	1116
done	5002	1116

prune428.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

337.0ms	(cbrt x)
288.0ms	(cbrt x)
307.0ms	(cbrt y)
282.0ms	(cbrt y)

simplify2.1s

Counts

56 → 56

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	42	260
1	71	244
2	144	220
3	298	208
4	773	208
5	2577	208
done	5001	208

prune329.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
4.4b	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `log-prod` `rem-log-exp`
4×	`div-exp` `prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
1×	`log-div` `times-frac` `log-pow` `div-inv`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series972.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt y)
330.0ms	(cbrt y)
244.0ms	(cbrt y)
151.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify2.3s

Counts

64 → 64

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	71	495
1	132	471
2	280	370
3	728	340
4	2589	337
done	5001	330

prune316.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
4.4b	(log (/ (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (cbrt y))))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log`
16×	`prod-exp`
9×	`cbrt-prod` `rem-log-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
5×	`pow1` `log-prod`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
1×	`log-div` `times-frac` `log-pow` `div-inv`

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
182.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (cbrt y))))

series982.0ms

Counts

4 → 12

Calls

4 calls:

333.0ms	(cbrt y)
289.0ms	(cbrt y)
250.0ms	(cbrt y)
110.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (cbrt y))))

simplify2.8s

Counts

68 → 68

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	75	675
1	144	651
2	337	461
3	940	367
4	3580	337
done	5000	337

prune408.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes216.0ms

Accuracy

93.8% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.8b

bsearch96.0ms

Steps

Iters	Range		Point
10	-2.3640911304613525e-298	6.470961600273976e-303	-5.43504861321096e-309

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	44
1	37	44
done	37	44

end0.0ms

sample1.9s

Algorithm

intervals

Results

558.0ms	8042×	body	80	valid
395.0ms	8059×	body	80	nan