Details

sample47.0ms

Algorithm

intervals

Results

12.0ms	255×	body	80	valid
10.0ms	269×	body	80	nan
0.0ms	1×	body	160	valid

simplify221.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

85.0ms	(- (- (* x (log y)) z) y)
12.0ms	(* x (log y))

series102.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (- (* x (log y)) z) y)
62.0ms	(* x (log y))

simplify3.1s

Counts

74 → 74

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	149	881
1	303	773
2	615	656
3	1998	583
done	5000	547

prune238.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma x (log y) (- (* z 1))) (- 0 y))
0.2b	(fma x (log y) (- (* z 1)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
11×	`associate-+r+`
9×	`add-sqr-sqrt` `add-cube-cbrt` `prod-diff`
7×	`add-log-exp`
3×	`fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `sub0-neg` `sum-log` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `sub-neg` `associate-+l+` `flip3-+` `diff-log` `unsub-neg` `flip-+` `distribute-lft-out--`

Counts

2 → 44

Calls

2 calls:

32.0ms	(+ (fma x (log y) (- (* z 1))) (- 0 y))
0.0ms	(fma x (log y) (- (* z 1)))

series182.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (fma x (log y) (- (* z 1))) (- 0 y))
117.0ms	(fma x (log y) (- (* z 1)))

simplify3.6s

Counts

50 → 50

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	99	698
1	221	454
2	685	415
3	3391	399
done	5000	399

prune205.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

24×	`distribute-rgt-in` `associate-+l+` `log-prod` `distribute-lft-in`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-r`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

12.0ms	(* (log (cbrt y)) x)
35.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series844.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (log (cbrt y)) x)
120.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
299.0ms	(cbrt y)
271.0ms	(cbrt y)

simplify2.3s

Counts

98 → 98

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	132	968
1	321	855
2	1006	698
done	5000	596

prune371.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log y) x)
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* 1/3 (* (log y) x)))
0.3b	(* 1/3 (* (log y) x))
0.5b	(cbrt y)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

24×	`distribute-rgt-in` `associate-+l+` `log-prod` `distribute-lft-in`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`*-commutative`
1×	`+-commutative` `fma-def` `flip3-+` `pow1/3` `sum-log` `log-pow` `flip-+` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

8.0ms	(* (log y) x)
26.0ms	(+ (* x (* 2 (log (cbrt y)))) (* 1/3 (* (log y) x)))
35.0ms	(* 1/3 (* (log y) x))
1.0ms	(cbrt y)

series670.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (log y) x)
228.0ms	(+ (* x (* 2 (log (cbrt y)))) (* 1/3 (* (log y) x)))
102.0ms	(* 1/3 (* (log y) x))
248.0ms	(cbrt y)

simplify1.6s

Counts

104 → 104

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	173	1135
1	414	985
2	1336	780
done	5001	728

prune437.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	12
1	19	9
2	21	9
done	21	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

935.0ms	8017×	body	80	valid
397.0ms	7973×	body	80	nan
1.0ms	2×	body	1280	valid
1.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid