Details

sample105.0ms

Algorithm

intervals

Results

29.0ms	706×	body	80	nan
10.0ms	36×	body	640	valid
8.0ms	166×	body	80	valid
7.0ms	13×	body	1280	valid
5.0ms	27×	body	320	valid
2.0ms	16×	body	160	valid

simplify241.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	12	13
1	22	12
2	38	12
3	52	12
4	60	12
5	77	12
6	105	12
7	154	12
8	198	12
9	221	12
10	239	12
11	240	12
done	240	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.0b	(- (fma x (log y) (* z (log (- 1.0 y)))) t)
0.3b	(fma x (log y) (* z (log (- 1.0 y))))
6.2b	(log (- 1.0 y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

15.0ms	(* z (log (- 1.0 y)))
7.0ms	(- (fma x (log y) (* z (log (- 1.0 y)))) t)
0.0ms	(fma x (log y) (* z (log (- 1.0 y))))
6.0ms	(log (- 1.0 y))

series284.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* z (log (- 1.0 y)))
91.0ms	(- (fma x (log y) (* z (log (- 1.0 y)))) t)
79.0ms	(fma x (log y) (* z (log (- 1.0 y))))
45.0ms	(log (- 1.0 y))

simplify2.2s

Counts

100 → 100

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	204	1528
1	458	1378
2	1072	1218
3	2838	1112
done	5000	1079

prune314.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b

(* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))

0.0b

(- (fma x (log y) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)

0.2b

(fma x (log y) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 98

Calls

3 calls:

32.0ms

(* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))

7.0ms

(- (fma x (log y) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)

0.0ms

(fma x (log y) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series434.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms

(* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))

196.0ms

(- (fma x (log y) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)

133.0ms

(fma x (log y) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify1.8s

Counts

107 → 107

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	202	4584
1	387	3431
2	901	2796
3	3860	2213
done	5000	2206

prune340.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

7.0ms	(- (fma x (log y) (* z (- (log 1.0) (* 1.0 y)))) t)
0.0ms	(fma x (log y) (* z (- (log 1.0) (* 1.0 y))))

series213.0ms

Counts

2 → 6

Calls

2 calls:

126.0ms	(- (fma x (log y) (* z (- (log 1.0) (* 1.0 y)))) t)
86.0ms	(fma x (log y) (* z (- (log 1.0) (* 1.0 y))))

simplify1.2s

Counts

45 → 45

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	93	1024
1	202	909
2	436	801
3	1451	692
done	5000	665

prune154.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow (cbrt (fma x (log y) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) 3) t)
0.2b	(fma x (log y) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.5b	(cbrt (fma x (log y) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.7b	(pow (cbrt (fma x (log y) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) 3)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
54×	`prod-diff`
50×	`*-un-lft-identity`
48×	`add-cube-cbrt`
35×	`cbrt-prod`
32×	`unpow-prod-down` `cube-prod`
18×	`fma-neg`
6×	`add-log-exp` `difference-of-squares` `sqr-pow`
5×	`pow1` `add-exp-log` `cube-mult` `unpow3`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow-unpow`
2×	`pow-pow` `pow1/3`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `flip--` `fma-udef` `distribute-lft-out--` `rem-cube-cbrt`

Counts

4 → 148

Calls

4 calls:

35.0ms	(- (pow (cbrt (fma x (log y) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) 3) t)
0.0ms	(fma x (log y) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
1.0ms	(cbrt (fma x (log y) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
4.0ms	(pow (cbrt (fma x (log y) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) 3)

series1.8s

Counts

4 → 12

Calls

4 calls:

200.0ms	(- (pow (cbrt (fma x (log y) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) 3) t)
141.0ms	(fma x (log y) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
881.0ms	(cbrt (fma x (log y) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
626.0ms	(pow (cbrt (fma x (log y) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) 3)

simplify793.0ms

Counts

160 → 160

Iterations

Useful iterations: done (786.0ms)

Iter	Nodes	Cost
0	206	6879
1	470	4700
2	1115	3839
done	5000	3819

prune458.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.1b

regimes337.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	23
1	20	23
done	20	23

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.0s	24249×	body	80	nan
274.0ms	5483×	body	80	valid
263.0ms	908×	body	640	valid
246.0ms	422×	body	1280	valid
128.0ms	738×	body	320	valid
50.0ms	486×	body	160	valid