Details

sample170.0ms

Algorithm

intervals

Results

72.0ms	812×	body	80	nan
13.0ms	177×	body	80	valid
13.0ms	32×	body	640	valid
10.0ms	11×	body	1280	valid
5.0ms	21×	body	320	valid
3.0ms	16×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	769
7	237
6	112
5	77
4	60
3	52
2	38
1	22
0	12

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (log (- 1.0 y)) (* (log y) x))
0.0b	(- (fma z (log (- 1.0 y)) (* (log y) x)) t)
0.3b	(* (log y) x)
4.7b	(log (- 1.0 y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

0.0ms	(fma z (log (- 1.0 y)) (* (log y) x))
5.0ms	(- (fma z (log (- 1.0 y)) (* (log y) x)) t)
12.0ms	(* (log y) x)
10.0ms	(log (- 1.0 y))

series393.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(fma z (log (- 1.0 y)) (* (log y) x))
137.0ms	(- (fma z (log (- 1.0 y)) (* (log y) x)) t)
82.0ms	(* (log y) x)
59.0ms	(log (- 1.0 y))

simplify1.3s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1449
1	434
0	190

prune602.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma z (- (log 1.0) (fma 1.0 y (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (* (log y) x)) t)
0.0b	(fma z (- (log 1.0) (fma 1.0 y (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (* (log y) x))
0.3b	(* (log y) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

5.0ms	(- (fma z (- (log 1.0) (fma 1.0 y (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (* (log y) x)) t)
0.0ms	(fma z (- (log 1.0) (fma 1.0 y (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (* (log y) x))
7.0ms	(* (log y) x)

series375.0ms

Counts

3 → 9

Calls

3 calls:

187.0ms	(- (fma z (- (log 1.0) (fma 1.0 y (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (* (log y) x)) t)
119.0ms	(fma z (- (log 1.0) (fma 1.0 y (* (* (/ y 1.0) (/ y 1.0)) 1/2))) (* (log y) x))
69.0ms	(* (log y) x)

simplify927.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
2	985
1	307
0	135

prune562.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* x (log y)) (fma 1.0 (* y z) (* (* 0.5 y) (* y z)))) t)
0.0b	(- (* x (log y)) (fma 1.0 (* y z) (* (* 0.5 y) (* y z))))
0.2b	(* (* 0.5 y) (* y z))
0.3b	(* x (log y))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

52.0ms	(- (- (* x (log y)) (fma 1.0 (* y z) (* (* 0.5 y) (* y z)))) t)
13.0ms	(- (* x (log y)) (fma 1.0 (* y z) (* (* 0.5 y) (* y z))))
36.0ms	(* (* 0.5 y) (* y z))
7.0ms	(* x (log y))

series315.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(- (- (* x (log y)) (fma 1.0 (* y z) (* (* 0.5 y) (* y z)))) t)
89.0ms	(- (* x (log y)) (fma 1.0 (* y z) (* (* 0.5 y) (* y z))))
23.0ms	(* (* 0.5 y) (* y z))
55.0ms	(* x (log y))

simplify1.2s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	2384
1	554
0	226

prune701.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (log (sqrt y)) x) (* (log (sqrt y)) x)) (fma 1.0 (* y z) (* (* 0.5 y) (* y z))))
0.2b	(* (* 0.5 y) (* y z))
0.3b	(* (log (sqrt y)) x)
0.3b	(* (log (sqrt y)) x)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

47.0ms	(- (+ (* (log (sqrt y)) x) (* (log (sqrt y)) x)) (fma 1.0 (* y z) (* (* 0.5 y) (* y z))))
22.0ms	(* (* 0.5 y) (* y z))
8.0ms	(* (log (sqrt y)) x)
8.0ms	(* (log (sqrt y)) x)

series433.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(- (+ (* (log (sqrt y)) x) (* (log (sqrt y)) x)) (fma 1.0 (* y z) (* (* 0.5 y) (* y z))))
22.0ms	(* (* 0.5 y) (* y z))
126.0ms	(* (log (sqrt y)) x)
150.0ms	(* (log (sqrt y)) x)

simplify1.7s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	2305
1	461
0	182

prune837.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes412.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.3s	24301×	body	80	nan
817.0ms	5551×	body	80	valid
439.0ms	867×	body	640	valid
369.0ms	388×	body	1280	valid
257.0ms	769×	body	320	valid
97.0ms	453×	body	160	valid