Details

sample84.0ms

Algorithm

intervals

Results

25.0ms	298×	body	80	valid
18.0ms	266×	body	80	nan

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	25	12
2	51	12
3	101	12
4	156	12
5	206	12
6	250	12
7	363	12
8	497	12
9	624	12
10	679	12
11	680	12
done	680	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

32.0ms	(+ (- 1.0 z) (log z))
99.0ms	(* y (+ (- 1.0 z) (log z)))

series374.0ms

Counts

2 → 6

Calls

2 calls:

283.0ms	(+ (- 1.0 z) (log z))
91.0ms	(* y (+ (- 1.0 z) (log z)))

simplify2.8s

Counts

54 → 54

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	95	529
1	247	501
2	794	444
3	4014	443
done	5000	437

prune181.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.1b	(+ (* y (- 1.0 z)) (* y (log z)))
0.3b	(* y (log z))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

32.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
19.0ms	(* y (log z))

series192.0ms

Counts

2 → 6

Calls

2 calls:

141.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
51.0ms	(* y (log z))

simplify2.7s

Counts

53 → 53

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	104	559
1	250	477
2	661	430
3	2686	412
done	5000	410

prune195.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
0.2b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

111.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
18.0ms	(* (log (cbrt z)) y)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series992.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
185.0ms	(* (log (cbrt z)) y)
263.0ms	(cbrt z)
269.0ms	(cbrt z)

simplify3.5s

Counts

76 → 76

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	111	697
1	279	673
2	906	562
3	4232	549
done	5000	549

prune425.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
5.9b	(pow z 2/3)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
3.0ms	(pow z 2/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

400.0ms	(cbrt (cbrt z))
292.0ms	(cbrt z)
305.0ms	(cbrt z)
271.0ms	(pow z 2/3)

simplify1.9s

Counts

65 → 65

Iterations

Useful iterations: 4 (787.0ms)

Iter	Nodes	Cost
0	75	356
1	144	315
2	277	288
3	647	274
4	2171	270
done	5001	270

prune406.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	34
1	34	34
done	34	34

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	9165×	body	80	valid
614.0ms	9289×	body	80	nan