Details

sample411.0ms

Algorithm

intervals

Results

163.0ms	885×	body	80	nan
65.0ms	306×	body	80	valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	21
1	38	21
2	99	21
3	399	21
4	1689	21
done	5000	21

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (* x (log y)) z) t) a)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
21×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
18×	`log-prod`
16×	`sum-log`
14×	`add-cube-cbrt`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`associate-+r+` `associate-*l/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--` `distribute-lft-out`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 95

Calls

4 calls:

255.0ms	(+ (+ (+ (* x (log y)) z) t) a)
1.1s	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
44.0ms	(* (- b 0.5) (log c))
17.0ms	(* x (log y))

series754.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(+ (+ (+ (* x (log y)) z) t) a)
429.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
99.0ms	(* (- b 0.5) (log c))
70.0ms	(* x (log y))

simplify1.9s

Counts

107 → 107

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	225	1697
1	588	1603
2	2681	1501
done	5000	1479

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

16.0ms	(* x (log y))
68.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
1.0ms	(cbrt c)
2.0ms	(cbrt c)

series1.3s

Counts

4 → 12

Calls

4 calls:

66.0ms	(* x (log y))
532.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
362.0ms	(cbrt c)
367.0ms	(cbrt c)

simplify1.3s

Counts

83 → 83

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	164	1074
1	458	966
2	1823	786
done	5002	751

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (pow c 2/3))
0.6b	(cbrt c)
0.6b	(cbrt c)
6.0b	(pow c 2/3)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

3.0ms	(cbrt (pow c 2/3))
1.0ms	(cbrt c)
1.0ms	(cbrt c)
4.0ms	(pow c 2/3)

series1.3s

Counts

4 → 12

Calls

4 calls:

324.0ms	(cbrt (pow c 2/3))
303.0ms	(cbrt c)
333.0ms	(cbrt c)
351.0ms	(pow c 2/3)

simplify2.8s

Counts

66 → 66

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	75	385
1	167	339
2	582	307
3	2581	293
done	5001	289

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (* (cbrt (- c)) (cbrt -1)))
0.3b	(* x (log y))
0.4b	(* (log (* (cbrt (- c)) (cbrt -1))) (- (* 3 b) 1.5))
0.6b	(cbrt (- c))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log`
10×	`cbrt-prod`
9×	`associate-l`
8×	`add-cbrt-cube`
7×	`log-prod` `associate-r` `log-pow`
6×	`pow-prod-down`
5×	`distribute-rgt-in` `distribute-lft-in` `pow1/3`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `prod-exp`
2×	`sub-neg` `associate-r/` `rem-log-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`neg-mul-1` `flip3--` `flip--`

Counts

4 → 83

Calls

4 calls:

16.0ms	(log (* (cbrt (- c)) (cbrt -1)))
14.0ms	(* x (log y))
91.0ms	(* (log (* (cbrt (- c)) (cbrt -1))) (- (* 3 b) 1.5))
3.0ms	(cbrt (- c))

series1.4s

Counts

4 → 12

Calls

4 calls:

527.0ms	(log (* (cbrt (- c)) (cbrt -1)))
66.0ms	(* x (log y))
411.0ms	(* (log (* (cbrt (- c)) (cbrt -1))) (- (* 3 b) 1.5))
366.0ms	(cbrt (- c))

simplify793.0ms

Counts

95 → 95

Iterations

Useful iterations: done (789.0ms)

Iter	Nodes	Cost
0	161	1022
1	341	985
2	1216	874
done	5001	862

prune923.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes2.0s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	38
1	43	38
done	43	38

end0.0ms

sample11.6s

Algorithm

intervals

Results

5.8s	27283×	body	80	nan
1.6s	9230×	body	80	valid
1.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid