Details

sample265.0ms

Algorithm

intervals

Results

79.0ms	885×	body	80	nan
51.0ms	189×	body	80	valid
15.0ms	16×	body	1280	valid
10.0ms	18×	body	640	valid
8.0ms	22×	body	320	valid
3.0ms	12×	body	160	valid

simplify782.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.2b	(* x (log y))
5.4b	(log (- 1.0 y))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
21×	`log-prod`
18×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`pow1`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-l`
3×	`expm1-log1p-u` `log-pow` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `rem-log-exp` `flip--`

Counts

3 → 76

Calls

3 calls:

24.0ms	(* z (log (- 1.0 y)))
14.0ms	(* x (log y))
10.0ms	(log (- 1.0 y))

series214.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(* z (log (- 1.0 y)))
50.0ms	(* x (log y))
69.0ms	(log (- 1.0 y))

simplify1.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	1186
1	389
0	174

prune588.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z (- (log 1.0) (* 1.0 y))) (* (/ (* z 1/2) 1.0) (/ (pow y 2) 1.0)))
0.0b	(+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* (/ (* z 1/2) 1.0) (/ (pow y 2) 1.0))))
0.2b	(* x (log y))
7.4b	(* (/ (* z 1/2) 1.0) (/ (pow y 2) 1.0))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
48×	`associate--l+` `add-exp-log`
35×	`*-un-lft-identity` `add-cube-cbrt`
32×	`associate-r`
31×	`times-frac`
27×	`add-cbrt-cube`
24×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
21×	`associate-+r+`
18×	`prod-diff`
17×	`div-exp` `prod-exp`
13×	`pow1`
11×	`add-log-exp`
10×	`unpow-prod-down` `associate-l`
9×	`associate-*r/` `cbrt-unprod`
7×	`cbrt-undiv`
6×	`associate-+l+` `sub-neg` `frac-sub` `unswap-sqr`
5×	`log-pow`
4×	`expm1-log1p-u` `flip3--` `log1p-expm1-u` `flip--` `unpow2` `sqr-pow`
3×	`frac-times` `pow-to-exp` `associate-*l/` `pow-exp`
2×	`sum-log` `diff-log` `pow-prod-down` `*-commutative` `div-inv`
1×	`+-commutative` `associate-+r-` `fma-def` `flip3-+` `fma-neg` `flip-+`

Counts

4 → 182

Calls

4 calls:

16.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* (/ (* z 1/2) 1.0) (/ (pow y 2) 1.0)))
28.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* (/ (* z 1/2) 1.0) (/ (pow y 2) 1.0))))
14.0ms	(* x (log y))
45.0ms	(* (/ (* z 1/2) 1.0) (/ (pow y 2) 1.0))

series378.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (* z (- (log 1.0) (* 1.0 y))) (* (/ (* z 1/2) 1.0) (/ (pow y 2) 1.0)))
191.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (* 1.0 y))) (* (/ (* z 1/2) 1.0) (/ (pow y 2) 1.0))))
43.0ms	(* x (log y))
45.0ms	(* (/ (* z 1/2) 1.0) (/ (pow y 2) 1.0))

simplify583.0ms

Counts

194 → 194

Iterations

Iter	Nodes
done	5001
1	1085
0	369

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ (log 1.0) (* (- 1.0) y)) z (* x (log y)))
0.0b	(+ (fma (+ (log 1.0) (* (- 1.0) y)) z (* x (log y))) (- (* z (fma (- y) 1.0 (* y 1.0))) (* (/ (* z 1/2) 1.0) (/ (pow y 2) 1.0))))
0.2b	(* x (log y))
7.4b	(* (/ (* z 1/2) 1.0) (/ (pow y 2) 1.0))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-exp-log`
40×	`add-sqr-sqrt`
32×	`associate-r`
31×	`times-frac`
28×	`*-un-lft-identity`
27×	`add-cbrt-cube`
26×	`add-cube-cbrt`
17×	`div-exp` `prod-exp`
10×	`unpow-prod-down` `associate-l`
9×	`pow1` `cbrt-unprod` `add-log-exp`
7×	`cbrt-undiv`
6×	`log-prod` `unswap-sqr`
5×	`associate-+r+`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `fma-udef` `log1p-expm1-u` `unpow2` `sqr-pow`
3×	`pow-to-exp` `fma-def` `pow-exp`
2×	`sum-log` `pow-prod-down` `associate--l+` `*-commutative` `div-inv`
1×	`frac-times` `+-commutative` `associate-+l+` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `prod-diff` `associate-l/` `associate-r/` `log-pow` `flip-+` `distribute-lft-out`

Counts

4 → 134

Calls

4 calls:

0.0ms	(fma (+ (log 1.0) (* (- 1.0) y)) z (* x (log y)))
13.0ms	(+ (fma (+ (log 1.0) (* (- 1.0) y)) z (* x (log y))) (- (* z (fma (- y) 1.0 (* y 1.0))) (* (/ (* z 1/2) 1.0) (/ (pow y 2) 1.0))))
10.0ms	(* x (log y))
51.0ms	(* (/ (* z 1/2) 1.0) (/ (pow y 2) 1.0))

series1.3s

Counts

4 → 12

Calls

4 calls:

120.0ms	(fma (+ (log 1.0) (* (- 1.0) y)) z (* x (log y)))
1.1s	(+ (fma (+ (log 1.0) (* (- 1.0) y)) z (* x (log y))) (- (* z (fma (- y) 1.0 (* y 1.0))) (* (/ (* z 1/2) 1.0) (/ (pow y 2) 1.0))))
51.0ms	(* x (log y))
46.0ms	(* (/ (* z 1/2) 1.0) (/ (pow y 2) 1.0))

simplify506.0ms

Counts

146 → 146

Iterations

Iter	Nodes
done	5001
1	827
0	283

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (+ (log 1.0) (* (- 1.0) y)) z (* x (log y)))
0.0b	(+ (fma (+ (log 1.0) (* (- 1.0) y)) z (* x (log y))) (- (* z (fma (- y) 1.0 (* y 1.0))) (* (* 0.5 z) (* y y))))
0.2b	(* x (log y))
7.4b	(* (* 0.5 z) (* y y))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

0.0ms	(fma (+ (log 1.0) (* (- 1.0) y)) z (* x (log y)))
13.0ms	(+ (fma (+ (log 1.0) (* (- 1.0) y)) z (* x (log y))) (- (* z (fma (- y) 1.0 (* y 1.0))) (* (* 0.5 z) (* y y))))
7.0ms	(* x (log y))
31.0ms	(* (* 0.5 z) (* y y))

series1.1s

Counts

4 → 12

Calls

4 calls:

89.0ms	(fma (+ (log 1.0) (* (- 1.0) y)) z (* x (log y)))
934.0ms	(+ (fma (+ (log 1.0) (* (- 1.0) y)) z (* x (log y))) (- (* z (fma (- y) 1.0 (* y 1.0))) (* (* 0.5 z) (* y y))))
43.0ms	(* x (log y))
38.0ms	(* (* 0.5 z) (* y y))

simplify995.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	5002
2	1974
1	452
0	178

prune647.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes532.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	34
2	34
1	32
0	23

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.6s	24083×	body	80	nan
693.0ms	875×	body	640	valid
533.0ms	5446×	body	80	valid
332.0ms	408×	body	1280	valid
261.0ms	792×	body	320	valid
107.0ms	506×	body	160	valid