Details

sample76.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
19.0ms	291×	body	80	nan

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (217.0ms)

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 91

Calls

3 calls:

183.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
30.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
31.0ms	(* (+ y 0.5) (log y))

series607.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
79.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
431.0ms	(* (+ y 0.5) (log y))

simplify1.8s

Counts

100 → 100

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	179	1585
1	473	1408
2	1824	1241
done	5000	1167

prune406.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`add-log-exp`
18×	`add-cube-cbrt` `prod-diff`
7×	`pow1` `fma-neg` `distribute-lft-out`
6×	`add-exp-log` `diff-log` `add-cbrt-cube`
5×	`associate-+r+`
4×	`expm1-log1p-u` `associate-r` `associate-l` `sum-log` `log1p-expm1-u`
3×	`sub-neg` `fma-def`
2×	`distribute-rgt-in` `associate-+r-` `flip3--` `distribute-lft-in` `flip3-+` `associate-*r/` `flip--` `flip-+` `associate--r+` `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 → 109

Calls

4 calls:

172.0ms	(- (+ x (- y (* (log y) (+ y 0.5)))) z)
19.0ms	(+ x (- y (* (log y) (+ y 0.5))))
11.0ms	(- y (* (log y) (+ y 0.5)))
44.0ms	(* (log y) (+ y 0.5))

series1.2s

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (+ x (- y (* (log y) (+ y 0.5)))) z)
63.0ms	(+ x (- y (* (log y) (+ y 0.5))))
668.0ms	(- y (* (log y) (+ y 0.5)))
431.0ms	(* (log y) (+ y 0.5))

simplify2.4s

Counts

121 → 121

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	193	1855
1	531	1620
2	2590	1450
done	5000	1428

prune519.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (fma (- (+ y 0.5)) (log y) (fma (log y) (+ y 0.5) y)))
0.1b	(fma (log y) (+ y 0.5) y)
0.1b	(* (log y) (+ y 0.5))
4.9b	(fma (- (+ y 0.5)) (log y) (fma (log y) (+ y 0.5) y))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

13.0ms	(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (fma (- (+ y 0.5)) (log y) (fma (log y) (+ y 0.5) y)))
1.0ms	(fma (log y) (+ y 0.5) y)
42.0ms	(* (log y) (+ y 0.5))
1.0ms	(fma (- (+ y 0.5)) (log y) (fma (log y) (+ y 0.5) y))

series1.7s

Counts

4 → 12

Calls

4 calls:

101.0ms	(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (fma (- (+ y 0.5)) (log y) (fma (log y) (+ y 0.5) y)))
495.0ms	(fma (log y) (+ y 0.5) y)
427.0ms	(* (log y) (+ y 0.5))
637.0ms	(fma (- (+ y 0.5)) (log y) (fma (log y) (+ y 0.5) y))

simplify1.8s

Counts

77 → 77

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	128	1255
1	353	1163
2	1733	1023
done	5001	1013

prune403.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* 1 x) (fma (- (log y)) (+ 0.5 y) (fma (- (+ y 0.5)) (log y) (fma (log y) (+ y 0.5) y)))) z)
0.1b	(fma (log y) (+ y 0.5) y)
0.1b	(fma (- (log y)) (+ 0.5 y) (fma (- (+ y 0.5)) (log y) (fma (log y) (+ y 0.5) y)))
4.9b	(fma (- (+ y 0.5)) (log y) (fma (log y) (+ y 0.5) y))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `prod-diff`
9×	`add-log-exp`
5×	`distribute-lft-out`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-neg` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-udef`
2×	`diff-log` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `difference-of-squares`

Counts

4 → 65

Calls

4 calls:

96.0ms	(- (+ (* 1 x) (fma (- (log y)) (+ 0.5 y) (fma (- (+ y 0.5)) (log y) (fma (log y) (+ y 0.5) y)))) z)
0.0ms	(fma (log y) (+ y 0.5) y)
0.0ms	(fma (- (log y)) (+ 0.5 y) (fma (- (+ y 0.5)) (log y) (fma (log y) (+ y 0.5) y)))
0.0ms	(fma (- (+ y 0.5)) (log y) (fma (log y) (+ y 0.5) y))

series2.6s

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (+ (* 1 x) (fma (- (log y)) (+ 0.5 y) (fma (- (+ y 0.5)) (log y) (fma (log y) (+ y 0.5) y)))) z)
358.0ms	(fma (log y) (+ y 0.5) y)
1.2s	(fma (- (log y)) (+ 0.5 y) (fma (- (+ y 0.5)) (log y) (fma (log y) (+ y 0.5) y)))
935.0ms	(fma (- (+ y 0.5)) (log y) (fma (log y) (+ y 0.5) y))

simplify832.0ms

Counts

77 → 77

Iterations

Useful iterations: done (828.0ms)

Iter	Nodes	Cost
0	145	2214
1	341	1989
2	1164	1711
done	5002	1565

prune384.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	16	27
1	23	25
2	26	25
3	28	25
done	28	25

end0.0ms

sample1.9s

Algorithm

intervals

Results

666.0ms	8026×	body	80	valid
511.0ms	8005×	body	80	nan
0.0ms	1×	body	320	valid
0.0ms	2×	body	160	valid