Details

sample104.0ms

Algorithm

intervals

Results

29.0ms	715×	body	80	nan
11.0ms	40×	body	640	valid
10.0ms	171×	body	80	valid
6.0ms	11×	body	1280	valid
4.0ms	23×	body	320	valid
1.0ms	13×	body	160	valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 12.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (* z (log (- 1.0 y))))
0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
4.6b	(log (- 1.0 y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
11×	`pow1`
10×	`associate-+r+`
9×	`add-exp-log`
8×	`associate-r` `add-cbrt-cube`
6×	`associate-+l+` `associate-l` `add-log-exp`
5×	`distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `rem-log-exp` `sum-log` `flip--` `flip-+`

Counts

4 → 97

Calls

4 calls:

17.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
15.0ms	(* z (log (- 1.0 y)))
11.0ms	(* x (log y))
5.0ms	(log (- 1.0 y))

series219.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
65.0ms	(* z (log (- 1.0 y)))
34.0ms	(* x (log y))
44.0ms	(log (- 1.0 y))

simplify50.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	449	675
1	1570	619
2	5002	588

prune296.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
0.0b	(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.3b	(* x (log y))
6.7b	(* z (pow y 2))

rewrite666.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
20×	`add-log-exp`
13×	`*-un-lft-identity`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`log-prod` `diff-log` `associate-l`
5×	`sum-log` `unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`*-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`+-commutative` `associate--l-` `pow-to-exp` `associate-+r-` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `pow-exp` `associate--l+` `log-pow` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 82

Calls

4 calls:

624.0ms	(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
17.0ms	(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
9.0ms	(* x (log y))
15.0ms	(* z (pow y 2))

series335.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
102.0ms	(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
34.0ms	(* x (log y))
29.0ms	(* z (pow y 2))

simplify57.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	424	816
1	1761	732
2	5002	705

prune336.0ms

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 (log (cbrt y)))
0.7b	(cbrt y)
0.7b	(cbrt y)
6.7b	(* z (pow y 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
12×	`cbrt-prod` `log-prod`
11×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-prod-down` `pow-exp`

Counts

4 → 81

Calls

4 calls:

10.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
15.0ms	(* z (pow y 2))

series458.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* x (log (cbrt y)))
175.0ms	(cbrt y)
168.0ms	(cbrt y)
27.0ms	(* z (pow y 2))

simplify144.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	233	381
1	903	336
2	4666	321
3	5001	321

prune426.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)
6.7b	(* z (pow y 2))

rewrite19.0ms

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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
15.0ms	(* z (pow y 2))

series557.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt y)
174.0ms	(cbrt y)
172.0ms	(cbrt y)
28.0ms	(* z (pow y 2))

simplify90.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (17.0ms)

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

prune434.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes198.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	29
1	49	29

end0.0ms

sample3.1s

Algorithm

intervals

Results

987.0ms	23747×	body	80	nan
265.0ms	5629×	body	80	valid
240.0ms	874×	body	640	valid
215.0ms	377×	body	1280	valid
117.0ms	716×	body	320	valid
45.0ms	435×	body	160	valid