Details

sample152.0ms

Algorithm

intervals

Results

73.0ms	719×	body	80	nan
22.0ms	197×	body	80	valid
7.0ms	8×	body	1280	valid
7.0ms	20×	body	640	valid
6.0ms	22×	body	320	valid
2.0ms	10×	body	160	valid

simplify64.0ms

Algorithm

egg-herbie

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

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))
4.7b	(log (- 1.0 y))

rewrite72.0ms

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:

40.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
12.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
13.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series378.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
121.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
57.0ms	(* (- x 1.0) (log y))
46.0ms	(log (- 1.0 y))

simplify73.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (61.0ms)

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

prune434.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

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:

27.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
47.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
18.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
11.0ms	(* (- x 1.0) (log y))

series519.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
245.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
155.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
65.0ms	(* (- x 1.0) (log y))

simplify64.0ms

Algorithm

egg-herbie

Counts

255 → 255

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1531	3494
1	5001	2940

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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)

rewrite9.0ms

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:

6.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series752.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt y) (cbrt y))
176.0ms	(cbrt y)
178.0ms	(cbrt y)
193.0ms	(cbrt y)

simplify88.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (81.0ms)

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

prune523.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log (* 1 (pow y 2/3))))
0.3b	(+ (* (- x 1.0) (log (* 1 (pow y 2/3)))) (* (- x 1.0) (log (cbrt y))))
0.6b	(cbrt y)
6.1b	(pow y 2/3)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

16.0ms	(* (- x 1.0) (log (* 1 (pow y 2/3))))
11.0ms	(+ (* (- x 1.0) (log (* 1 (pow y 2/3)))) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(pow y 2/3)

series796.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (- x 1.0) (log (* 1 (pow y 2/3))))
319.0ms	(+ (* (- x 1.0) (log (* 1 (pow y 2/3)))) (* (- x 1.0) (log (cbrt y))))
178.0ms	(cbrt y)
178.0ms	(pow y 2/3)

simplify80.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	584	784
1	2691	616
2	5001	577

prune583.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes225.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	15
1	28	15

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.2s	24344×	body	80	nan
612.0ms	5898×	body	80	valid
273.0ms	726×	body	640	valid
172.0ms	706×	body	320	valid
164.0ms	238×	body	1280	valid
81.0ms	455×	body	160	valid