Details

sample44.0ms

Algorithm

intervals

Results

11.0ms	255×	body	80	valid
10.0ms	269×	body	80	nan
0.0ms	1×	body	160	valid

simplify239.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	25	8
3	39	8
4	45	8
5	53	8
6	73	8
7	94	8
8	101	8
9	109	8
10	113	8
11	115	8
12	116	8
done	116	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate--l+`
12×	`add-sqr-sqrt` `log-prod`
10×	`*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube`
3×	`diff-log` `associate-l`
2×	`sub-neg`
1×	`associate--l-` `flip3--` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

103.0ms	(- (- (* x (log y)) z) y)
19.0ms	(* x (log y))

series109.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(- (- (* x (log y)) z) y)
49.0ms	(* x (log y))

simplify1.3s

Counts

55 → 55

Iterations

Useful iterations: 3 (327.0ms)

Iter	Nodes	Cost
0	109	506
1	214	491
2	455	448
3	1209	427
done	5000	427

prune168.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt y)) x)
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `cbrt-prod` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
3×	`pow1/3` `associate-r`
2×	`log-pow`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

13.0ms	(* (log (cbrt y)) x)
31.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series889.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (log (cbrt y)) x)
219.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
220.0ms	(cbrt y)
272.0ms	(cbrt y)

simplify4.5s

Counts

66 → 66

Iterations

Useful iterations: done (4.5s)

Iter	Nodes	Cost
0	87	597
1	209	481
2	742	423
3	3667	350
done	5000	345

prune273.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log y) x)
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* 1/3 (* (log y) x)))
0.3b	(* 1/3 (* (log y) x))
0.5b	(cbrt y)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`cbrt-prod`
2×	`*-commutative`
1×	`+-commutative` `flip3-+` `pow1/3` `sum-log` `log-pow` `flip-+` `unswap-sqr`

Counts

4 → 59

Calls

4 calls:

16.0ms	(* (log y) x)
30.0ms	(+ (* (* 2 (log (cbrt y))) x) (* 1/3 (* (log y) x)))
23.0ms	(* 1/3 (* (log y) x))
1.0ms	(cbrt y)

series712.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (log y) x)
298.0ms	(+ (* (* 2 (log (cbrt y))) x) (* 1/3 (* (log y) x)))
98.0ms	(* 1/3 (* (log y) x))
226.0ms	(cbrt y)

simplify1.3s

Counts

71 → 71

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	125	723
1	308	621
2	1106	492
done	5000	446

prune230.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* 2 (log (cbrt y))) x) (* (+ 0 (log y)) (* 1/3 x)))
0.3b	(* 1/3 x)
0.3b	(* (+ 0 (log y)) (* 1/3 x))
0.5b	(cbrt y)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `associate-l`
6×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`cbrt-prod`
2×	`flip3-+` `associate-l/` `-commutative` `flip-+` `distribute-lft-out`
1×	`+-commutative` `pow1/3` `sum-log` `log-pow` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

24.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (+ 0 (log y)) (* 1/3 x)))
7.0ms	(* 1/3 x)
48.0ms	(* (+ 0 (log y)) (* 1/3 x))
1.0ms	(cbrt y)

series724.0ms

Counts

4 → 12

Calls

4 calls:

316.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (+ 0 (log y)) (* 1/3 x)))
21.0ms	(* 1/3 x)
104.0ms	(* (+ 0 (log y)) (* 1/3 x))
282.0ms	(cbrt y)

simplify1.1s

Counts

74 → 74

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	135	809
1	341	600
2	1185	488
done	5001	444

prune256.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes180.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	18
1	20	18
done	20	18

end0.0ms

sample1.8s

Algorithm

intervals

Results

752.0ms	8017×	body	80	valid
350.0ms	7973×	body	80	nan
24.0ms	2×	body	1280	valid
1.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid