Details

sample143.0ms

Algorithm

intervals

Results

47.0ms	860×	body	80	nan
18.0ms	291×	body	80	valid

simplify7.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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)

rewrite23.0ms

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:

15.0ms	(+ 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)

series521.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ a (+ (fma x (log y) z) t))
52.0ms	(+ (fma x (log y) z) t)
336.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
59.0ms	(fma x (log y) z)

simplify1.4s

Counts

70 → 70

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	105	812
1	244	761
2	691	706
3	3100	689
done	5000	669

prune299.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 38

Calls

3 calls:

5.0ms	(+ (fma x (log y) (+ a z)) t)
0.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) (+ a z)) t))
0.0ms	(fma x (log y) (+ a z))

series523.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(+ (fma x (log y) (+ a z)) t)
381.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) (+ a z)) t))
49.0ms	(fma x (log y) (+ a z))

simplify1.1s

Counts

47 → 47

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	78	588
1	163	565
2	455	514
3	2367	505
done	5000	504

prune218.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.2s

Algorithm

rewrite-expression-head

Rules

38×	`add-log-exp`
25×	`sum-log`
23×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`log-prod`
16×	`add-cube-cbrt`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `fma-def` `associate-r` `associate-l` `add-cbrt-cube`
6×	`associate-+r+` `associate-*l/`
4×	`expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `log1p-expm1-u`
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 → 111

Calls

4 calls:

630.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
2.5s	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
24.0ms	(* (- b 0.5) (log c))
8.0ms	(* x (log y))

series923.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
560.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
60.0ms	(* (- b 0.5) (log c))
45.0ms	(* x (log y))

simplify1.4s

Counts

123 → 123

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	256	2083
1	663	1852
2	2530	1705
done	5000	1690

prune504.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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))))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite53.0ms

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:

8.0ms	(* x (log y))
38.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series593.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* x (log y))
177.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
189.0ms	(cbrt c)
188.0ms	(cbrt c)

simplify952.0ms

Counts

120 → 120

Iterations

Useful iterations: done (948.0ms)

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

prune643.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes871.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.4s	26950×	body	80	nan
563.0ms	9136×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid