Details

sample151.0ms

Algorithm

intervals

Results

47.0ms	747×	body	80	nan
15.0ms	37×	body	640	valid
13.0ms	177×	body	80	valid
10.0ms	15×	body	1280	valid
4.0ms	15×	body	320	valid
2.0ms	14×	body	160	valid

simplify415.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	12	13
1	22	12
2	38	12
3	52	12
4	60	12
5	77	12
6	105	12
7	154	12
8	198	12
9	221	12
10	239	12
11	240	12
done	240	12

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.2b	(* x (log y))
5.6b	(log (- 1.0 y))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
21×	`log-prod`
20×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `prod-diff` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `log-pow`
2×	`log-div` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 106

Calls

4 calls:

104.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
31.0ms	(* z (log (- 1.0 y)))
18.0ms	(* x (log y))
13.0ms	(log (- 1.0 y))

series371.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
115.0ms	(* z (log (- 1.0 y)))
46.0ms	(* x (log y))
84.0ms	(log (- 1.0 y))

simplify2.4s

Counts

118 → 118

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	241	1599
1	520	1423
2	1245	1242
3	3557	1137
done	5000	1137

prune480.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.0b	(- (+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b	(* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.2b	(* x (log y))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
57×	`prod-diff`
56×	`*-un-lft-identity`
51×	`add-cube-cbrt`
40×	`distribute-rgt-in` `distribute-lft-in`
34×	`associate-+r+`
24×	`log-prod`
22×	`pow1`
14×	`log-pow`
13×	`associate--l+`
11×	`add-log-exp`
10×	`associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+l+` `associate-l`
5×	`sub-neg`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `distribute-lft-out--`
2×	`flip3--` `diff-log` `associate-r/` `pow-prod-down` `prod-exp` `sum-log` `-commutative` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `flip-+`

Counts

4 → 170

Calls

4 calls:

18.0ms	(+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
69.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
69.0ms	(* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
17.0ms	(* x (log y))

series686.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
260.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
149.0ms	(* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
69.0ms	(* x (log y))

simplify1.3s

Counts

182 → 182

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	296	6298
1	622	4630
2	1497	3922
done	5001	3303

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

21.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.5s

Counts

4 → 12

Calls

4 calls:

295.0ms	(* (cbrt y) (cbrt y))
617.0ms	(cbrt y)
277.0ms	(cbrt y)
319.0ms	(cbrt y)

simplify4.8s

Counts

93 → 93

Iterations

Useful iterations: done (4.8s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune740.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

21.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

329.0ms	(* (cbrt x) (cbrt x))
292.0ms	(cbrt x)
273.0ms	(cbrt x)
348.0ms	(cbrt x)

simplify4.6s

Counts

93 → 93

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune512.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

regimes301.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	33
1	27	33
done	27	33

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.9s	24307×	body	80	nan
483.0ms	5589×	body	80	valid
442.0ms	892×	body	640	valid
352.0ms	371×	body	1280	valid
248.0ms	696×	body	320	valid
78.0ms	476×	body	160	valid