Details

sample67.0ms

Algorithm

intervals

Results

23.0ms	298×	body	80	valid
17.0ms	266×	body	80	nan

simplify1.6s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite165.0ms

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:

30.0ms	(+ (- 1.0 z) (log z))
131.0ms	(* y (+ (- 1.0 z) (log z)))

series427.0ms

Counts

2 → 6

Calls

2 calls:

297.0ms	(+ (- 1.0 z) (log z))
130.0ms	(* y (+ (- 1.0 z) (log z)))

simplify3.2s

Counts

54 → 54

Iterations

Useful iterations: done (3.2s)

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

prune199.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

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:

33.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
25.0ms	(* y (log z))

series225.0ms

Counts

2 → 6

Calls

2 calls:

153.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
71.0ms	(* y (log z))

simplify2.6s

Counts

53 → 53

Iterations

Useful iterations: done (2.6s)

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

prune211.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

73.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
10.0ms	(* y (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

281.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
129.0ms	(* y (log (cbrt z)))
333.0ms	(cbrt z)
272.0ms	(cbrt z)

simplify3.1s

Counts

88 → 88

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	131	842
1	297	812
2	862	683
3	3969	671
done	5000	670

prune480.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
0.3b	(* (- (log z)) y)
0.3b	(* -1/3 (* (- (log z)) y))
0.6b	(cbrt z)

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-l`
16×	`add-sqr-sqrt`
15×	`pow1`
13×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-log-exp`
3×	`cbrt-prod` `*-commutative`
2×	`distribute-lft-neg-out` `associate-*r/` `log-pow` `unswap-sqr`
1×	`distribute-rgt-in` `neg-mul-1` `distribute-lft-in` `flip3-+` `pow1/3` `distribute-rgt-neg-out` `flip-+`

Counts

4 → 80

Calls

4 calls:

69.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
23.0ms	(* (- (log z)) y)
48.0ms	(* -1/3 (* (- (log z)) y))
2.0ms	(cbrt z)

series750.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(* y (+ (* 2 (log (cbrt z))) (- 1.0 z)))
88.0ms	(* (- (log z)) y)
89.0ms	(* -1/3 (* (- (log z)) y))
319.0ms	(cbrt z)

simplify1.2s

Counts

92 → 92

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	153	887
1	396	843
2	1416	684
done	5000	663

prune549.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes212.0ms

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: 3 (5.0ms)

Iter	Nodes	Cost
0	20	23
1	30	23
2	38	23
3	43	22
done	43	22

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.3s	9165×	body	80	valid
663.0ms	9289×	body	80	nan