Details

sample105.0ms

Algorithm

intervals

Results

31.0ms	761×	body	80	nan
8.0ms	174×	body	80	valid
8.0ms	30×	body	640	valid
8.0ms	14×	body	1280	valid
4.0ms	25×	body	320	valid
4.0ms	13×	body	160	valid

simplify245.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize11.0ms

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))
4.9b	(log (- 1.0 y))

rewrite81.0ms

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:

16.0ms	(* z (log (- 1.0 y)))
45.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
11.0ms	(* x (log y))
6.0ms	(log (- 1.0 y))

series238.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* z (log (- 1.0 y)))
86.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
41.0ms	(* x (log y))
43.0ms	(log (- 1.0 y))

simplify1.7s

Counts

118 → 118

Iterations

Useful iterations: done (1.7s)

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

prune306.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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	(fma -1/2 (/ (* z (pow y 2)) (pow 1.0 2)) (* z (- (log 1.0) (* 1.0 y))))
0.3b	(* x (log y))
10.1b	(* z (pow y 2))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

56.0ms	(- (+ (* x (log y)) (fma -1/2 (/ (* z (pow y 2)) (pow 1.0 2)) (* z (- (log 1.0) (* 1.0 y))))) t)
0.0ms	(fma -1/2 (/ (* z (pow y 2)) (pow 1.0 2)) (* z (- (log 1.0) (* 1.0 y))))
9.0ms	(* x (log y))
12.0ms	(* z (pow y 2))

series368.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(- (+ (* x (log y)) (fma -1/2 (/ (* z (pow y 2)) (pow 1.0 2)) (* z (- (log 1.0) (* 1.0 y))))) t)
102.0ms	(fma -1/2 (/ (* z (pow y 2)) (pow 1.0 2)) (* z (- (log 1.0) (* 1.0 y))))
40.0ms	(* x (log y))
32.0ms	(* z (pow y 2))

simplify1.9s

Counts

108 → 108

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	193	2112
1	394	1945
2	954	1689
3	3691	1499
done	5000	1492

prune381.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
0.5b	(cbrt y)
0.5b	(cbrt y)
10.1b	(* z (pow y 2))

rewrite35.0ms

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:

20.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
12.0ms	(* z (pow y 2))

series527.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
184.0ms	(cbrt y)
182.0ms	(cbrt y)
30.0ms	(* z (pow y 2))

simplify2.6s

Counts

82 → 82

Iterations

Useful iterations: 3 (1.1s)

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

prune402.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt y)) x)
0.5b	(cbrt y)
0.5b	(cbrt y)
10.1b	(* z (pow y 2))

rewrite24.0ms

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:

8.0ms	(* (log (cbrt y)) x)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
12.0ms	(* z (pow y 2))

series525.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (log (cbrt y)) x)
181.0ms	(cbrt y)
188.0ms	(cbrt y)
35.0ms	(* z (pow y 2))

simplify1.5s

Counts

89 → 89

Iterations

Useful iterations: 3 (440.0ms)

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

prune385.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes171.0ms

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 (2.0ms)

Iter	Nodes	Cost
0	23	34
1	29	34
done	29	34

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.0s	23838×	body	80	nan
267.0ms	5516×	body	80	valid
250.0ms	892×	body	640	valid
244.0ms	423×	body	1280	valid
120.0ms	725×	body	320	valid
48.0ms	476×	body	160	valid