Details

sample67.0ms

Algorithm

intervals

Results

21.0ms	292×	body	80	nan
14.0ms	256×	body	80	valid

simplify299.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	15	8
2	29	8
3	49	8
4	56	8
5	64	8
6	86	8
7	111	8
8	141	8
9	153	8
10	154	8
11	160	8
12	161	8
done	161	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.0b	(- (* x (log y)) z)
0.3b	(* x (log y))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`associate--l+`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
15×	`prod-diff`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`fma-neg` `diff-log` `associate-r`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 92

Calls

3 calls:

85.0ms	(- (- (* x (log y)) z) y)
20.0ms	(- (* x (log y)) z)
17.0ms	(* x (log y))

series185.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (- (* x (log y)) z) y)
77.0ms	(- (* x (log y)) z)
52.0ms	(* x (log y))

simplify3.6s

Counts

101 → 101

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	172	1162
1	364	991
2	763	877
3	2550	791
done	5001	749

prune316.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (cbrt y))))
0.3b	(* (log (cbrt y)) x)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

24×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
19×	`add-sqr-sqrt`
18×	`cbrt-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-l`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 92

Calls

4 calls:

27.0ms	(* x (* 2 (log (cbrt y))))
9.0ms	(* (log (cbrt y)) x)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series904.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* x (* 2 (log (cbrt y))))
201.0ms	(* (log (cbrt y)) x)
251.0ms	(cbrt y)
283.0ms	(cbrt y)

simplify3.9s

Counts

104 → 104

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	147	952
1	298	896
2	828	765
3	3269	748
done	5001	748

prune327.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series960.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(cbrt y)
254.0ms	(cbrt y)
210.0ms	(cbrt y)
271.0ms	(cbrt y)

simplify1.8s

Counts

64 → 64

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	26	284
1	44	268
2	85	244
3	162	232
4	407	232
5	1333	232
done	5000	232

prune365.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* x (log y)) z))
0.2b	(fma (sqrt (- (* x (log y)) z)) (sqrt (- (* x (log y)) z)) (- y))
0.3b	(* x (log y))
0.3b	(* x (log y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`log-prod`
11×	`pow1`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`
2×	`sqrt-div` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `flip--` `fma-udef`

Counts

4 → 81

Calls

4 calls:

23.0ms	(sqrt (- (* x (log y)) z))
0.0ms	(fma (sqrt (- (* x (log y)) z)) (sqrt (- (* x (log y)) z)) (- y))
9.0ms	(* x (log y))
9.0ms	(* x (log y))

series669.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(sqrt (- (* x (log y)) z))
386.0ms	(fma (sqrt (- (* x (log y)) z)) (sqrt (- (* x (log y)) z)) (- y))
47.0ms	(* x (log y))
48.0ms	(* x (log y))

simplify2.3s

Counts

93 → 93

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	163	1025
1	378	843
2	957	771
3	2868	740
done	5000	725

prune465.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes180.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample2.2s

Algorithm

intervals

Results

767.0ms	7960×	body	80	nan
499.0ms	8039×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid