Details

sample263.0ms

Algorithm

intervals

Results

113.0ms	856×	body	80	nan
28.0ms	289×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	20	21
1	39	20
2	109	18
3	448	18
4	1850	18
done	5000	18

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) z)
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))

rewrite903.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

15.0ms	(+ (* x (log y)) z)
842.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
24.0ms	(* (- b 0.5) (log c))
15.0ms	(* x (log y))

series556.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ (* x (log y)) z)
354.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
88.0ms	(* (- b 0.5) (log c))
50.0ms	(* x (log y))

simplify1.8s

Counts

122 → 122

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	249	1698
1	681	1531
2	2768	1410
done	5001	1392

prune946.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

59.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
9.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series1.0s

Counts

4 → 12

Calls

4 calls:

421.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
45.0ms	(* x (log y))
291.0ms	(cbrt c)
244.0ms	(cbrt c)

simplify2.1s

Counts

128 → 128

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	244	2056
1	672	1727
2	3112	1290
done	5001	1179

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `cbrt-prod` `log-prod` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
2×	`pow1/3`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

1.0ms	(fma (* 2 (log (cbrt c))) (- b 0.5) (* (log (cbrt c)) (- b 0.5)))
17.0ms	(* x (log y))
2.0ms	(cbrt c)
2.0ms	(cbrt c)

series1.0s

Counts

4 → 12

Calls

4 calls:

380.0ms	(fma (* 2 (log (cbrt c))) (- b 0.5) (* (log (cbrt c)) (- b 0.5)))
41.0ms	(* x (log y))
280.0ms	(cbrt c)
316.0ms	(cbrt c)

simplify1.8s

Counts

75 → 75

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	117	627
1	228	604
2	623	478
3	2722	402
done	5001	398

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ a (+ (fma x (log y) z) t))
0.0b	(+ (fma x (log y) z) t)
0.1b	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
0.1b	(fma x (log y) z)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out`
3×	`fma-udef`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `associate-+r+`

Counts

4 → 58

Calls

4 calls:

28.0ms	(+ a (+ (fma x (log y) z) t))
6.0ms	(+ (fma x (log y) z) t)
0.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
0.0ms	(fma x (log y) z)

series775.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(+ a (+ (fma x (log y) z) t))
70.0ms	(+ (fma x (log y) z) t)
509.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
76.0ms	(fma x (log y) z)

simplify594.0ms

Counts

70 → 70

Iterations

Useful iterations: done (590.0ms)

Iter	Nodes	Cost
0	105	812
1	260	772
2	852	706
done	5000	690

prune703.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes1.8s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	18
1	19	18
done	19	18

end0.0ms

sample10.5s

Algorithm

intervals

Results

5.3s	27015×	body	80	nan
1.3s	9156×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid