Details

sample126.0ms

Algorithm

intervals

Results

48.0ms	705×	body	80	nan
14.0ms	177×	body	80	valid
13.0ms	18×	body	1280	valid
11.0ms	27×	body	640	valid
6.0ms	22×	body	320	valid
2.0ms	13×	body	160	valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	7
1	30	7
2	39	7
3	45	7
4	60	7
5	88	7
6	125	7
7	176	7
8	208	7
9	225	7
10	293	7
11	293	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b	(* x (log y))
4.4b	(log (- 1.0 y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 86

Calls

4 calls:

9.0ms	(* z (log (- 1.0 y)))
16.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
4.0ms	(* x (log y))
2.0ms	(log (- 1.0 y))

series223.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* z (log (- 1.0 y)))
84.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
38.0ms	(* x (log y))
41.0ms	(log (- 1.0 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	436	628
1	1539	553
2	5002	530

prune249.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.0b	(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.3b	(* x (log y))
6.9b	(* z (pow y 2))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
26×	`prod-exp`
25×	`add-sqr-sqrt`
24×	`associate-r`
17×	`add-cbrt-cube`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`div-exp`
9×	`pow1` `associate-l`
8×	`pow-to-exp` `times-frac` `pow-exp`
7×	`unpow-prod-down`
6×	`log-prod` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `unpow2` `sqr-pow`
2×	`cbrt-undiv` `pow-prod-down`
1×	`+-commutative` `flip3-+` `associate-*r/` `sum-log` `log-pow` `flip-+` `div-inv`

Counts

4 → 105

Calls

4 calls:

13.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
5.0ms	(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
4.0ms	(* x (log y))
8.0ms	(* z (pow y 2))

series231.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
106.0ms	(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
39.0ms	(* x (log y))
29.0ms	(* z (pow y 2))

simplify68.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	488	651
1	2291	577
2	5001	577

prune353.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)
6.9b	(* z (pow y 2))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
27×	`add-sqr-sqrt`
24×	`cbrt-prod` `associate-+l+`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-+r+`
9×	`add-exp-log`
8×	`associate-r`
6×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `unpow-prod-down` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 97

Calls

4 calls:

12.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
0.0ms	(cbrt y)
6.0ms	(* z (pow y 2))

series474.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
170.0ms	(cbrt y)
170.0ms	(cbrt y)
33.0ms	(* z (pow y 2))

simplify50.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	402	637
1	1429	528
2	5001	467

prune625.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)
6.9b	(* z (pow y 2))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `cbrt-prod`
8×	`associate-r`
6×	`add-cbrt-cube`
4×	`pow1` `unpow-prod-down` `add-log-exp` `unswap-sqr`
3×	`pow1/3` `associate-l` `prod-exp`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 60

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
6.0ms	(* z (pow y 2))

series566.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt y)
184.0ms	(cbrt y)
180.0ms	(cbrt y)
29.0ms	(* z (pow y 2))

simplify87.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	139	219
1	495	193
2	2414	183
3	5001	183

prune415.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes179.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	29
1	46	29

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.5s	23922×	body	80	nan
442.0ms	5521×	body	80	valid
372.0ms	905×	body	640	valid
295.0ms	401×	body	1280	valid
191.0ms	738×	body	320	valid
77.0ms	469×	body	160	valid