Details

sample69.0ms

Algorithm

intervals

Results

22.0ms	301×	body	80	valid
15.0ms	255×	body	80	nan

simplify3.5s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite155.0ms

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-+`
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 → 61

Calls

3 calls:

17.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
35.0ms	(+ (- 1.0 z) (log z))
101.0ms	(* y (+ (- 1.0 z) (log z)))

series492.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
254.0ms	(+ (- 1.0 z) (log z))
132.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.5s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1478
1	362
0	126

prune410.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (+ (log (cbrt z)) (log (cbrt z))) (- 1.0 z)) (log (cbrt z)))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
58×	`distribute-lft-out`
31×	`pow1`
27×	`log-pow`
13×	`add-log-exp`
12×	`cbrt-prod`
11×	`sum-log`
10×	`distribute-lft-out--`
9×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-+r+` `log-prod`
4×	`add-cbrt-cube` `add-exp-log`
3×	`pow1/3`
2×	`diff-log`
1×	`+-commutative` `associate-+l+` `associate-+r-` `flip3-+` `associate-+l-` `flip-+`

Counts

4 → 78

Calls

4 calls:

368.0ms	(+ (+ (+ (log (cbrt z)) (log (cbrt z))) (- 1.0 z)) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.6s

Counts

4 → 12

Calls

4 calls:

648.0ms	(+ (+ (+ (log (cbrt z)) (log (cbrt z))) (- 1.0 z)) (log (cbrt z)))
349.0ms	(cbrt z)
258.0ms	(cbrt z)
330.0ms	(cbrt z)

simplify2.8s

Counts

90 → 90

Iterations

Iter	Nodes
done	5009
3	3209
2	832
1	241
0	88

prune592.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (+ (log (cbrt z)) (log (cbrt z))) (- 1.0 z)) (log (pow z 1/3)))
0.5b	(cbrt z)
0.5b	(cbrt z)
5.1b	(pow z 1/3)

rewrite365.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
29×	`distribute-lft-out`
13×	`pow1` `add-log-exp`
11×	`sum-log`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`log-pow`
7×	`associate-+r+` `log-prod`
6×	`cbrt-prod` `unpow-prod-down`
5×	`add-exp-log` `distribute-lft-out--`
4×	`add-cbrt-cube`
3×	`pow-unpow`
2×	`pow1/3` `diff-log` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+l+` `associate-+r-` `pow-pow` `flip3-+` `unpow1/3` `pow-exp` `associate-+l-` `flip-+`

Counts

4 → 75

Calls

4 calls:

359.0ms	(+ (+ (+ (log (cbrt z)) (log (cbrt z))) (- 1.0 z)) (log (pow z 1/3)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
3.0ms	(pow z 1/3)

series1.7s

Counts

4 → 12

Calls

4 calls:

748.0ms	(+ (+ (+ (log (cbrt z)) (log (cbrt z))) (- 1.0 z)) (log (pow z 1/3)))
309.0ms	(cbrt z)
365.0ms	(cbrt z)
275.0ms	(pow z 1/3)

simplify3.5s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
3	4749
2	1094
1	333
0	122

prune675.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
9.0ms	(cbrt (* (cbrt z) (cbrt z)))

series1.5s

Counts

4 → 12

Calls

4 calls:

302.0ms	(cbrt z)
332.0ms	(cbrt z)
274.0ms	(cbrt z)
566.0ms	(cbrt (* (cbrt z) (cbrt z)))

simplify3.5s

Counts

54 → 54

Iterations

Iter	Nodes
done	5003
5	4046
4	1128
3	442
2	190
1	84
0	42

prune474.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes483.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample2.0s

Algorithm

intervals

Results

834.0ms	9193×	body	80	valid
576.0ms	8855×	body	80	nan