Details

sample119.0ms

Algorithm

intervals

Results

32.0ms	290×	body	80	valid
29.0ms	310×	body	80	nan

simplify7.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	4712
13	4355
12	3979
11	3616
10	3118
9	2180
8	1453
7	986
6	673
5	394
4	198
3	93
2	51
1	25
0	11

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize95.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite318.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
9×	`pow1`
8×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`add-cube-cbrt`
5×	`associate-+r+` `add-cbrt-cube` `add-exp-log`
4×	`log-pow` `distribute-lft-out--`
3×	`log-prod` `sum-log` `flip3-+` `associate-l` `flip-+` `insert-posit16`
2×	`distribute-rgt-in` `+-commutative` `associate-+l+` `distribute-lft-in` `associate-*r/`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

71.0ms	(+ (- 1.0 z) (log z))
72.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
168.0ms	(* y (+ (- 1.0 z) (log z)))

series479.0ms

Counts

3 → 9

Calls

3 calls:

235.0ms	(+ (- 1.0 z) (log z))
94.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
149.0ms	(* y (+ (- 1.0 z) (log z)))

simplify3.5s

Counts

73 → 73

Iterations

Iter	Nodes
done	5042
2	1500
1	365
0	129

prune822.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize157.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 77

Calls

4 calls:

26.0ms	(* (cbrt z) (cbrt z))
3.0ms	(cbrt z)
2.0ms	(cbrt z)
3.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

265.0ms	(* (cbrt z) (cbrt z))
226.0ms	(cbrt z)
284.0ms	(cbrt z)
329.0ms	(cbrt z)

simplify7.9s

Counts

89 → 89

Iterations

Iter	Nodes
done	5015
4	3770
3	1044
2	353
1	137
0	63

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize221.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (- 1.0 z) (log (pow z 2/3))) (log (cbrt z)))
0.2b	(* y (+ (+ (- 1.0 z) (log (pow z 2/3))) (log (cbrt z))))
0.6b	(cbrt z)
5.9b	(pow z 2/3)

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
20×	`distribute-lft-out`
13×	`add-sqr-sqrt` `pow1`
11×	`add-cube-cbrt`
9×	`associate-r`
8×	`add-log-exp`
7×	`add-exp-log`
6×	`cbrt-prod` `associate-+r+` `log-prod` `add-cbrt-cube` `log-pow`
5×	`sum-log`
4×	`insert-posit16` `distribute-lft-out--`
3×	`pow-unpow` `unpow-prod-down` `associate-l`
2×	`flip3-+` `associate-*r/` `associate-+l-` `flip-+`
1×	`distribute-rgt-in` `pow-to-exp` `+-commutative` `associate-+l+` `pow-pow` `distribute-lft-in` `pow1/3` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `sqr-pow`

Counts

4 → 87

Calls

4 calls:

351.0ms	(+ (+ (- 1.0 z) (log (pow z 2/3))) (log (cbrt z)))
816.0ms	(* y (+ (+ (- 1.0 z) (log (pow z 2/3))) (log (cbrt z))))
5.0ms	(cbrt z)
11.0ms	(pow z 2/3)

series2.6s

Counts

4 → 12

Calls

4 calls:

1.2s	(+ (+ (- 1.0 z) (log (pow z 2/3))) (log (cbrt z)))
735.0ms	(* y (+ (+ (- 1.0 z) (log (pow z 2/3))) (log (cbrt z))))
305.0ms	(cbrt z)
309.0ms	(pow z 2/3)

simplify4.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1672
1	489
0	173

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize140.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* (log z) -1)) (- 1.0 z))
0.0b	(+ (* x 0.5) (* y (+ (- (* (log z) -1)) (- 1.0 z))))
0.2b	(* y (+ (- (* (log z) -1)) (- 1.0 z)))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity` `add-log-exp`
7×	`add-sqr-sqrt`
5×	`pow1` `sum-log` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
4×	`associate-+r+` `distribute-lft-out`
3×	`flip3-+` `associate-l` `flip-+` `insert-posit16`
2×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `diff-log` `neg-log` `associate-*r/` `distribute-lft-out--`
1×	`neg-sub0` `associate-+r-` `sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

46.0ms	(+ (- (* (log z) -1)) (- 1.0 z))
21.0ms	(+ (* x 0.5) (* y (+ (- (* (log z) -1)) (- 1.0 z))))
174.0ms	(* y (+ (- (* (log z) -1)) (- 1.0 z)))

series614.0ms

Counts

3 → 9

Calls

3 calls:

283.0ms	(+ (- (* (log z) -1)) (- 1.0 z))
140.0ms	(+ (* x 0.5) (* y (+ (- (* (log z) -1)) (- 1.0 z))))
192.0ms	(* y (+ (- (* (log z) -1)) (- 1.0 z)))

simplify3.3s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1516
1	380
0	127

prune775.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify49.0ms

Iterations

Iter	Nodes
done	38
4	38
3	37
2	34
1	24
0	14

end0.0ms

sample2.8s

Algorithm

intervals

Results

812.0ms	9184×	body	80	valid
680.0ms	9157×	body	80	nan