Details

sample179.0ms

Algorithm

intervals

Results

78.0ms	818×	body	80	nan
16.0ms	201×	body	80	valid
7.0ms	18×	body	640	valid
7.0ms	8×	body	1280	valid
4.0ms	15×	body	320	valid
2.0ms	14×	body	160	valid

simplify4.6s

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	14	17
1	27	16
2	57	16
3	135	16
4	388	16
5	1306	16
6	3670	16
done	5000	16

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.2b	(fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y))))
4.2b	(log (- 1.0 y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

40.0ms	(* (- z 1.0) (log (- 1.0 y)))
1.0ms	(fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y))))
13.0ms	(log (- 1.0 y))

series309.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* (- z 1.0) (log (- 1.0 y)))
169.0ms	(fma (- x 1.0) (log y) (* (- z 1.0) (log (- 1.0 y))))
79.0ms	(log (- 1.0 y))

simplify1.1s

Counts

72 → 72

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	159	966
1	374	928
2	1436	822
done	5000	815

prune418.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 77

Calls

2 calls:

74.0ms	(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0ms	(fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series280.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
196.0ms	(fma (- x 1.0) (log y) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify2.2s

Counts

83 → 83

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	188	4010
1	445	2951
2	2630	2399
done	5000	1925

prune369.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 3 expressions with local error:

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

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
48×	`prod-diff`
43×	`add-cube-cbrt`
40×	`distribute-rgt-in` `distribute-lft-in`
34×	`associate-+r+`
27×	`flip3--` `flip--`
24×	`log-prod` `associate-*l/`
21×	`pow1`
16×	`frac-add`
14×	`log-pow`
12×	`frac-times` `associate--l+`
10×	`associate-r` `associate-l`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+l+` `associate-*r/`
5×	`add-log-exp`
4×	`sub-neg` `distribute-lft-out--`
3×	`expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 168

Calls

3 calls:

45.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
72.0ms	(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
59.0ms	(* (- x 1.0) (log y))

series434.0ms

Counts

3 → 9

Calls

3 calls:

233.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
102.0ms	(* (- z 1.0) (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
99.0ms	(* (- x 1.0) (log y))

simplify698.0ms

Counts

177 → 177

Iterations

Useful iterations: done (684.0ms)

Iter	Nodes	Cost
0	365	7828
1	1054	6011
done	5001	5431

prune969.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log (cbrt y)))
0.3b	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

38.0ms	(* (- x 1.0) (log (cbrt y)))
41.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series963.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (- x 1.0) (log (cbrt y)))
277.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
245.0ms	(cbrt y)
263.0ms	(cbrt y)

simplify2.1s

Counts

131 → 131

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	212	1942
1	638	1652
2	3159	1351
done	5000	1341

prune886.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes382.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	38
1	29	38
done	29	38

end0.0ms

sample6.6s

Algorithm

intervals

Results

3.2s	25077×	body	80	nan
642.0ms	5923×	body	80	valid
338.0ms	755×	body	640	valid
253.0ms	672×	body	320	valid
240.0ms	244×	body	1280	valid
77.0ms	430×	body	160	valid