Details

sample111.0ms

Algorithm

intervals

Results

38.0ms	802×	body	80	nan
9.0ms	185×	body	80	valid
9.0ms	29×	body	640	valid
6.0ms	10×	body	1280	valid
3.0ms	18×	body	320	valid
2.0ms	16×	body	160	valid

simplify68.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	9
1	57	8
2	136	8
3	312	8
4	709	8
5	1629	8
6	3564	8
7	5001	8
done	5001	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.1b	(* (- x 1.0) (log y))
5.1b	(log (- 1.0 y))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
27×	`log-prod`
20×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
10×	`associate-+r+` `associate-*l/`
9×	`prod-diff`
8×	`pow1`
7×	`add-exp-log` `flip3--` `flip--`
6×	`associate-+l+` `add-cbrt-cube`
5×	`associate-l` `distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `associate-r` `frac-add` `log1p-expm1-u`
3×	`fma-neg`
2×	`log-div` `diff-log` `sum-log` `log-pow`
1×	`+-commutative` `sub-neg` `fma-def` `flip3-+` `rem-log-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

94.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
27.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
25.0ms	(* (- x 1.0) (log y))
6.0ms	(log (- 1.0 y))

series405.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
131.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
61.0ms	(* (- x 1.0) (log y))
45.0ms	(log (- 1.0 y))

simplify75.0ms

Counts

125 → 125

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	741	1209
1	2881	1050
2	5001	1042
done	5001	1042

prune406.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.1b	(* (- x 1.0) (log y))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

107×	`add-sqr-sqrt`
80×	`times-frac`
72×	`associate-r`
71×	`*-un-lft-identity`
67×	`add-cube-cbrt`
56×	`unpow-prod-down`
34×	`associate-+r+`
33×	`prod-diff`
29×	`add-exp-log`
24×	`unpow2` `sqr-pow`
23×	`distribute-rgt-in` `distribute-lft-in`
22×	`flip3--` `associate-*l/` `flip--`
18×	`log-prod` `unswap-sqr`
16×	`frac-add`
15×	`pow1`
11×	`prod-exp` `add-cbrt-cube` `add-log-exp`
9×	`div-exp`
8×	`frac-times` `associate-l`
7×	`associate--l+` `log-pow`
6×	`pow-to-exp` `associate-+l+` `pow-exp`
5×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `fma-neg` `cbrt-unprod`
2×	`diff-log` `pow-prod-down` `sum-log` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `flip-+` `div-inv`

Counts

4 → 243

Calls

4 calls:

41.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
99.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
37.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
25.0ms	(* (- x 1.0) (log y))

series533.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
260.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
51.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
62.0ms	(* (- x 1.0) (log y))

simplify62.0ms

Counts

255 → 255

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1531	3425
1	5001	2940
done	5001	2940

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series735.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt y) (cbrt y))
176.0ms	(cbrt y)
181.0ms	(cbrt y)
176.0ms	(cbrt y)

simplify91.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255
done	5001	255

prune520.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log (pow y 2/3)))
0.2b	(+ (* (- x 1.0) (log (pow y 2/3))) (fma (log (cbrt y)) (- x 1.0) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.6b	(cbrt y)
6.0b	(pow y 2/3)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

25.0ms	(* (- x 1.0) (log (pow y 2/3)))
21.0ms	(+ (* (- x 1.0) (log (pow y 2/3))) (fma (log (cbrt y)) (- x 1.0) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
1.0ms	(cbrt y)
3.0ms	(pow y 2/3)

series705.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (- x 1.0) (log (pow y 2/3)))
231.0ms	(+ (* (- x 1.0) (log (pow y 2/3))) (fma (log (cbrt y)) (- x 1.0) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
183.0ms	(cbrt y)
175.0ms	(pow y 2/3)

simplify59.0ms

Counts

112 → 112

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	487	1083
1	1968	1003
2	5001	966
done	5001	966

prune587.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes283.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	15
1	28	15
done	28	15

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	24165×	body	80	nan
310.0ms	5908×	body	80	valid
227.0ms	771×	body	640	valid
153.0ms	257×	body	1280	valid
119.0ms	663×	body	320	valid
50.0ms	435×	body	160	valid