Details

sample43.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
12.0ms	258×	body	80	nan

simplify146.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	6
1	61	6
2	192	6
3	649	6
4	1602	6
5	2720	6
6	3667	6
7	4387	6
8	4711	6
9	4956	6
10	5001	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
19×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
12×	`log-prod`
10×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `diff-log` `add-cbrt-cube` `associate--r+`
4×	`associate-r` `associate-l` `sum-log`
3×	`sub-neg` `distribute-lft-out`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip3-+` `associate-*l/` `flip--` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

3.0ms	(- x (* (+ y 0.5) (log y)))
54.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
9.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
10.0ms	(* (+ y 0.5) (log y))

series387.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- x (* (+ y 0.5) (log y)))
50.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
49.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
245.0ms	(* (+ y 0.5) (log y))

simplify49.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	446	640
1	1624	599
2	5001	591

prune224.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series736.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (cbrt y) (cbrt y))
180.0ms	(cbrt y)
180.0ms	(cbrt y)
187.0ms	(cbrt y)

simplify85.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune283.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(pow y 1/3)

series767.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (cbrt y) (cbrt y))
183.0ms	(cbrt y)
187.0ms	(cbrt y)
170.0ms	(pow y 1/3)

simplify144.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	173	288
1	778	209
2	4922	194
3	5003	194

prune305.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.0b	(* (cbrt 1/3) (cbrt 1/3))
4.0b	(pow y (* (cbrt 1/3) (cbrt 1/3)))
5.3b	(pow (pow y (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`cbrt-prod`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`unpow-prod-down`
12×	`pow1`
9×	`add-exp-log`
7×	`pow-unpow` `pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
5×	`pow-exp`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `sqr-pow`
2×	`pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 92

Calls

4 calls:

0.0ms	(cbrt y)
5.0ms	(* (cbrt 1/3) (cbrt 1/3))
1.0ms	(pow y (* (cbrt 1/3) (cbrt 1/3)))
3.0ms	(pow (pow y (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

series888.0ms

Counts

4 → 10

Calls

4 calls:

174.0ms	(cbrt y)
0.0ms	(* (cbrt 1/3) (cbrt 1/3))
239.0ms	(pow y (* (cbrt 1/3) (cbrt 1/3)))
476.0ms	(pow (pow y (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))

simplify39.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	266	565
1	1089	514
2	5002	462

prune368.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6
1	13	6

end0.0ms

sample1.2s

Algorithm

intervals

Results

491.0ms	8044×	body	80	valid
331.0ms	8327×	body	80	nan
0.0ms	1×	body	640	valid