Details

sample231.0ms

Algorithm

intervals

Results

83.0ms	843×	body	80	nan
21.0ms	35×	body	640	valid
19.0ms	175×	body	80	valid
12.0ms	10×	body	1280	valid
8.0ms	23×	body	320	valid
3.0ms	13×	body	160	valid

simplify486.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b	(* x (log y))
6.3b	(log (- 1.0 y))

rewrite139.0ms

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:

18.0ms	(* z (log (- 1.0 y)))
83.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
20.0ms	(* x (log y))
14.0ms	(log (- 1.0 y))

series395.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* z (log (- 1.0 y)))
143.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
70.0ms	(* x (log y))
54.0ms	(log (- 1.0 y))

simplify2.5s

Counts

118 → 118

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	241	1599
1	520	1423
2	1247	1242
3	3547	1137
done	5000	1136

prune468.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (fma -1/2 (/ (* z (pow y 2)) (pow 1.0 2)) (* z (- (log 1.0) (* 1.0 y))))) t)
0.0b	(+ (* x (log y)) (fma -1/2 (/ (* z (pow y 2)) (pow 1.0 2)) (* z (- (log 1.0) (* 1.0 y)))))
0.3b	(* x (log y))
7.9b	(* z (pow y 2))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
12×	`log-prod` `associate-r`
11×	`add-exp-log` `add-log-exp`
9×	`prod-diff`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-l`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `prod-exp` `log1p-expm1-u`
3×	`fma-neg`
2×	`diff-log` `sum-log` `*-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `associate-+r+` `flip3--` `fma-def` `flip3-+` `pow-prod-down` `pow-exp` `associate--l+` `log-pow` `flip--` `flip-+` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 107

Calls

4 calls:

98.0ms	(- (+ (* x (log y)) (fma -1/2 (/ (* z (pow y 2)) (pow 1.0 2)) (* z (- (log 1.0) (* 1.0 y))))) t)
10.0ms	(+ (* x (log y)) (fma -1/2 (/ (* z (pow y 2)) (pow 1.0 2)) (* z (- (log 1.0) (* 1.0 y)))))
9.0ms	(* x (log y))
16.0ms	(* z (pow y 2))

series565.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(- (+ (* x (log y)) (fma -1/2 (/ (* z (pow y 2)) (pow 1.0 2)) (* z (- (log 1.0) (* 1.0 y))))) t)
201.0ms	(+ (* x (log y)) (fma -1/2 (/ (* z (pow y 2)) (pow 1.0 2)) (* z (- (log 1.0) (* 1.0 y)))))
52.0ms	(* x (log y))
43.0ms	(* z (pow y 2))

simplify3.6s

Counts

119 → 119

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	205	2523
1	455	2259
2	1154	2049
3	4580	1858
done	5000	1852

prune726.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)
7.9b	(* z (pow y 2))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`cbrt-prod` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `distribute-rgt-out` `fma-def` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 70

Calls

4 calls:

23.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
14.0ms	(* z (pow y 2))

series781.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
334.0ms	(cbrt y)
248.0ms	(cbrt y)
40.0ms	(* z (pow y 2))

simplify3.3s

Counts

82 → 82

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	112	707
1	278	573
2	864	489
3	4123	431
done	5000	431

prune587.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt y)) x)
0.6b	(cbrt y)
0.6b	(cbrt y)
7.9b	(* z (pow y 2))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
11×	`add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
8×	`associate-l` `add-cbrt-cube`
7×	`pow1`
6×	`cbrt-prod`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `prod-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-prod-down` `pow-exp`

Counts

4 → 77

Calls

4 calls:

14.0ms	(* (log (cbrt y)) x)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
29.0ms	(* z (pow y 2))

series767.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (log (cbrt y)) x)
277.0ms	(cbrt y)
270.0ms	(cbrt y)
46.0ms	(* z (pow y 2))

simplify1.7s

Counts

89 → 89

Iterations

Useful iterations: 3 (625.0ms)

Iter	Nodes	Cost
0	111	572
1	218	533
2	544	465
3	1628	457
done	5001	457

prune560.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes203.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	35
1	32	35
done	32	35

end0.0ms

sample6.6s

Algorithm

intervals

Results

2.9s	24189×	body	80	nan
685.0ms	5553×	body	80	valid
448.0ms	901×	body	640	valid
394.0ms	388×	body	1280	valid
232.0ms	731×	body	320	valid
79.0ms	458×	body	160	valid