Details

sample246.0ms

Algorithm

intervals

Results

99.0ms	850×	body	80	nan
31.0ms	306×	body	80	valid

simplify10.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	20	21
1	39	20
2	109	18
3	424	18
4	1400	18
5	3582	18
done	5000	18

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`log-prod` `*-un-lft-identity`
10×	`add-cube-cbrt`
8×	`pow1` `associate-r` `associate-l`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
2×	`expm1-log1p-u` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 58

Calls

2 calls:

49.0ms	(* (- b 0.5) (log c))
9.0ms	(* x (log y))

series156.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(* (- b 0.5) (log c))
64.0ms	(* x (log y))

simplify1.7s

Counts

64 → 64

Iterations

Useful iterations: 3 (783.0ms)

Iter	Nodes	Cost
0	138	560
1	257	540
2	651	473
3	1691	463
done	5000	463

prune384.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.7b	(cbrt c)
0.7b	(cbrt c)

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
33×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `add-sqr-sqrt` `associate-+l+`
22×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-+r+`
8×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `associate-r` `frac-add` `flip--` `log1p-expm1-u`
3×	`associate-l`
2×	`pow1/3`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

19.0ms	(* x (log y))
92.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
2.0ms	(cbrt c)
2.0ms	(cbrt c)

series774.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* x (log y))
224.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
210.0ms	(cbrt c)
284.0ms	(cbrt c)

simplify1.5s

Counts

120 → 120

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	228	1656
1	601	1289
2	2001	1126
done	5000	1061

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (pow (/ 1 c) -1/3)))) (* (- b 0.5) (log (cbrt c))))
0.7b	(cbrt c)
4.9b	(pow (/ 1 c) -1/3)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

86×	`log-prod`
77×	`distribute-rgt-in` `distribute-lft-in`
68×	`associate-+l+`
65×	`unpow-prod-down`
55×	`add-sqr-sqrt`
53×	`add-cube-cbrt` `*-un-lft-identity`
45×	`times-frac`
12×	`associate-+r+`
11×	`add-exp-log`
9×	`pow1` `cbrt-prod`
8×	`associate-*l/`
6×	`add-cbrt-cube` `add-log-exp`
5×	`div-inv` `sqr-pow`
4×	`expm1-log1p-u` `flip3--` `associate-r` `frac-add` `pow-exp` `flip--` `log1p-expm1-u`
3×	`pow-unpow` `pow-pow` `associate-l`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `fma-def` `flip3-+` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

4 → 173

Calls

4 calls:

10.0ms	(* x (log y))
70.0ms	(+ (* (- b 0.5) (* 2 (log (pow (/ 1 c) -1/3)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
8.0ms	(pow (/ 1 c) -1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

60.0ms	(* x (log y))
434.0ms	(+ (* (- b 0.5) (* 2 (log (pow (/ 1 c) -1/3)))) (* (- b 0.5) (log (cbrt c))))
288.0ms	(cbrt c)
335.0ms	(pow (/ 1 c) -1/3)

simplify2.9s

Counts

185 → 185

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	425	3071
1	1106	2419
2	2936	2053
done	5001	1931

prune1.8s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 3 b) 1.5)
0.2b	(* x (log y))
0.3b	(* (log (* (cbrt -1) (cbrt (- c)))) (- (* 3 b) 1.5))
0.7b	(cbrt (- c))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
10×	`cbrt-prod`
9×	`associate-l` `prod-diff`
8×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
7×	`associate-r`
6×	`log-prod` `add-log-exp`
4×	`expm1-log1p-u` `pow-prod-down` `log-pow` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `sub-neg` `distribute-rgt-neg-in` `pow1/3`
2×	`flip3--` `associate-r/` `prod-exp` `-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`neg-mul-1` `fma-neg` `diff-log`

Counts

4 → 100

Calls

4 calls:

22.0ms	(- (* 3 b) 1.5)
14.0ms	(* x (log y))
85.0ms	(* (log (* (cbrt -1) (cbrt (- c)))) (- (* 3 b) 1.5))
4.0ms	(cbrt (- c))

series849.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (* 3 b) 1.5)
79.0ms	(* x (log y))
404.0ms	(* (log (* (cbrt -1) (cbrt (- c)))) (- (* 3 b) 1.5))
299.0ms	(cbrt (- c))

simplify3.6s

Counts

112 → 112

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	203	1362
1	387	1242
2	1075	1109
3	4309	1050
done	5000	1050

prune782.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	28
1	37	28
done	37	28

end0.0ms

sample10.2s

Algorithm

intervals

Results

4.9s	27847×	body	80	nan
1.7s	9206×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid