Details

sample33.0ms

Algorithm

intervals

Results

13.0ms	258×	body	80	valid
6.0ms	266×	body	80	nan

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	41	4
3	52	4
4	85	4
5	106	4
6	141	4
7	215	4
8	236	4
9	236	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.0b	(- (* x (log y)) z)
0.2b	(* x (log y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

19.0ms	(- (- (* x (log y)) z) y)
4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series122.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- (- (* x (log y)) z) y)
54.0ms	(- (* x (log y)) z)
37.0ms	(* x (log y))

simplify63.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	257	372
1	752	352
2	2351	328
3	5002	328

prune164.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (log (sqrt y)) x) (- (* (log (sqrt y)) x) z)) y)
0.0b	(+ (* (log (sqrt y)) x) (- (* (log (sqrt y)) x) z))
0.2b	(* (log (sqrt y)) x)
0.2b	(* (log (sqrt y)) x)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

70.0ms	(- (+ (* (log (sqrt y)) x) (- (* (log (sqrt y)) x) z)) y)
10.0ms	(+ (* (log (sqrt y)) x) (- (* (log (sqrt y)) x) z))
4.0ms	(* (log (sqrt y)) x)
4.0ms	(* (log (sqrt y)) x)

series427.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (+ (* (log (sqrt y)) x) (- (* (log (sqrt y)) x) z)) y)
122.0ms	(+ (* (log (sqrt y)) x) (- (* (log (sqrt y)) x) z))
110.0ms	(* (log (sqrt y)) x)
115.0ms	(* (log (sqrt y)) x)

simplify123.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	302	670
1	1016	580
2	4188	545
3	5001	532

prune219.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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×	`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)

series698.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt y) (cbrt y))
168.0ms	(cbrt y)
170.0ms	(cbrt y)
166.0ms	(cbrt y)

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	236

prune272.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (sqrt y))
0.5b	(cbrt (sqrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt (sqrt y))
1.0ms	(cbrt (sqrt y))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series669.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (sqrt y))
151.0ms	(cbrt (sqrt y))
180.0ms	(cbrt y)
172.0ms	(cbrt y)

simplify44.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	105	242
1	277	224
2	1136	210
3	5002	208

prune254.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes100.0ms

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	11	9
1	11	9

end0.0ms

sample938.0ms

Algorithm

intervals

Results

406.0ms	8032×	body	80	valid
196.0ms	8178×	body	80	nan
0.0ms	1×	body	640	valid