Details

sample74.0ms

Algorithm

intervals

Results

22.0ms	259×	body	80	valid
16.0ms	232×	body	80	nan

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (181.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	63	12
3	206	12
4	1068	11
done	5000	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(* (+ y 0.5) (log y))
0.2b	(+ (- x (* (+ y 0.5) (log y))) y)

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

15.0ms	(- x (* (+ y 0.5) (log y)))
217.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
44.0ms	(* (+ y 0.5) (log y))
50.0ms	(+ (- x (* (+ y 0.5) (log y))) y)

series574.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- x (* (+ y 0.5) (log y)))
76.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
367.0ms	(* (+ y 0.5) (log y))
83.0ms	(+ (- x (* (+ y 0.5) (log y))) y)

simplify2.3s

Counts

129 → 129

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	212	1986
1	566	1753
2	2404	1570
done	5001	1493

prune431.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) (+ y 0.5))
0.3b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

33.0ms	(* (log (cbrt y)) (+ y 0.5))
49.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series2.5s

Counts

4 → 12

Calls

4 calls:

676.0ms	(* (log (cbrt y)) (+ y 0.5))
1.2s	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
295.0ms	(cbrt y)
252.0ms	(cbrt y)

simplify2.6s

Counts

88 → 88

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	147	1170
1	468	1004
2	2684	838
done	5000	800

prune527.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma 3 y 1.5)
0.2b	(+ (- x (* (* (- (log y)) -1/3) (fma 3 y 1.5))) y)
0.3b	(* (* (- (log y)) -1/3) (fma 3 y 1.5))
0.4b	(* (- (log y)) -1/3)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

0.0ms	(fma 3 y 1.5)
23.0ms	(+ (- x (* (* (- (log y)) -1/3) (fma 3 y 1.5))) y)
40.0ms	(* (* (- (log y)) -1/3) (fma 3 y 1.5))
21.0ms	(* (- (log y)) -1/3)

series724.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(fma 3 y 1.5)
67.0ms	(+ (- x (* (* (- (log y)) -1/3) (fma 3 y 1.5))) y)
428.0ms	(* (* (- (log y)) -1/3) (fma 3 y 1.5))
181.0ms	(* (- (log y)) -1/3)

simplify1.4s

Counts

99 → 99

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	150	1162
1	402	1104
2	1919	908
done	5000	847

prune402.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1.5 -1/3 (- y))
0.0b	(- (+ x (fma (fma 1.5 -1/3 (- y)) (log y) y)) z)
0.0b	(+ x (fma (fma 1.5 -1/3 (- y)) (log y) y))
0.1b	(fma (fma 1.5 -1/3 (- y)) (log y) y)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`prod-diff`
11×	`add-log-exp`
6×	`distribute-lft-out`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-neg` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-def` `fma-udef`
2×	`diff-log` `sum-log` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `difference-of-squares`

Counts

4 → 73

Calls

4 calls:

0.0ms	(fma 1.5 -1/3 (- y))
63.0ms	(- (+ x (fma (fma 1.5 -1/3 (- y)) (log y) y)) z)
6.0ms	(+ x (fma (fma 1.5 -1/3 (- y)) (log y) y))
0.0ms	(fma (fma 1.5 -1/3 (- y)) (log y) y)

series583.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma 1.5 -1/3 (- y))
71.0ms	(- (+ x (fma (fma 1.5 -1/3 (- y)) (log y) y)) z)
53.0ms	(+ x (fma (fma 1.5 -1/3 (- y)) (log y) y))
421.0ms	(fma (fma 1.5 -1/3 (- y)) (log y) y)

simplify677.0ms

Counts

85 → 85

Iterations

Useful iterations: done (669.0ms)

Iter	Nodes	Cost
0	140	1486
1	331	1297
2	1028	1156
done	5000	1068

prune289.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes104.0ms

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	11	13
1	12	13
done	12	13

end0.0ms

sample2.3s

Algorithm

intervals

Results

951.0ms	8152×	body	80	nan
639.0ms	8050×	body	80	valid