Details

sample68.0ms

Algorithm

intervals

Results

18.0ms	299×	body	80	valid
16.0ms	305×	body	80	nan

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	57	11
3	124	11
4	355	11
5	1056	11
6	2596	11
7	4834	11
done	5000	11

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

1.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
59.0ms	(+ (- 1.0 z) (log z))
131.0ms	(* y (+ (- 1.0 z) (log z)))

series519.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
284.0ms	(+ (- 1.0 z) (log z))
125.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.1s

Counts

85 → 85

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	136	897
1	362	831
2	1484	702
done	5000	697

prune270.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x 0.5 (+ (* (- 1.0 z) y) (* y (log z))))
0.1b	(+ (* (- 1.0 z) y) (* y (log z)))
0.3b	(* y (log z))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

0.0ms	(fma x 0.5 (+ (* (- 1.0 z) y) (* y (log z))))
29.0ms	(+ (* (- 1.0 z) y) (* y (log z)))
18.0ms	(* y (log z))

series289.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(fma x 0.5 (+ (* (- 1.0 z) y) (* y (log z))))
142.0ms	(+ (* (- 1.0 z) y) (* y (log z)))
56.0ms	(* y (log z))

simplify960.0ms

Counts

66 → 66

Iterations

Useful iterations: done (958.0ms)

Iter	Nodes	Cost
0	127	777
1	330	698
2	1230	616
done	5001	578

prune250.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (fma 2 (log (cbrt z)) (- 1.0 z)))
0.2b	(* y (log (cbrt z)))
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `log-prod`
9×	`pow1`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

13.0ms	(* y (fma 2 (log (cbrt z)) (- 1.0 z)))
11.0ms	(* y (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series928.0ms

Counts

4 → 12

Calls

4 calls:

271.0ms	(* y (fma 2 (log (cbrt z)) (- 1.0 z)))
135.0ms	(* y (log (cbrt z)))
259.0ms	(cbrt z)
263.0ms	(cbrt z)

simplify3.2s

Counts

94 → 94

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	128	829
1	271	798
2	861	699
3	4421	664
done	5000	662

prune473.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (* 2 (log (cbrt z))))
0.3b	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod`
54×	`distribute-rgt-in` `distribute-lft-in`
36×	`cbrt-prod`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`associate-+l+`
12×	`associate-+r+`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `fma-def` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 121

Calls

4 calls:

36.0ms	(* y (* 2 (log (cbrt z))))
43.0ms	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series822.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* y (* 2 (log (cbrt z))))
148.0ms	(+ (* y (* 2 (log (cbrt z)))) (* y (log (cbrt z))))
283.0ms	(cbrt z)
232.0ms	(cbrt z)

simplify2.1s

Counts

133 → 133

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	190	1591
1	488	1405
2	2071	1124
done	5000	1064

prune652.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes200.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	9465×	body	80	nan
682.0ms	9167×	body	80	valid