Details

sample79.0ms

Algorithm

intervals

Results

32.0ms	719×	body	80	nan
16.0ms	255×	body	80	valid
0.0ms	1×	body	640	valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	6
1	48	6
2	118	6
3	247	6
4	525	6
5	732	6
6	937	6
7	1108	6
8	1128	6
9	1128	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
20×	`*-un-lft-identity` `associate--l+`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
11×	`add-log-exp`
10×	`associate-+l+`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`diff-log` `associate-r` `distribute-lft-out`
3×	`sub-neg` `associate-+r+` `associate-l` `sum-log` `log-pow`
2×	`distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

3.0ms	(- (* x (log y)) y)
66.0ms	(+ (- (- (* x (log y)) y) z) (log t))
4.0ms	(* x (log y))

series145.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- (* x (log y)) y)
43.0ms	(+ (- (- (* x (log y)) y) z) (log t))
42.0ms	(* x (log y))

simplify80.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	333	472
1	1030	432
2	3338	405
3	5002	405

prune211.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
27×	`log-prod`
23×	`add-sqr-sqrt`
19×	`add-log-exp`
17×	`add-cube-cbrt`
15×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `sqrt-prod`
9×	`log-pow`
8×	`add-exp-log` `add-cbrt-cube`
7×	`diff-log` `distribute-lft-out--`
6×	`associate-l` `sum-log` `distribute-lft-out`
5×	`associate-+l+` `associate--l+`
3×	`sub-neg` `associate-+r+`
2×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

4 → 111

Calls

4 calls:

18.0ms	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) y)
300.0ms	(+ (- (- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) y) z) (log t))
5.0ms	(* x (log (sqrt y)))
5.0ms	(* x (log (sqrt y)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) y)
79.0ms	(+ (- (- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) y) z) (log t))
87.0ms	(* x (log (sqrt y)))
85.0ms	(* x (log (sqrt y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	402	1023
1	1390	864
2	5001	831

prune313.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

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)

series911.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt y) (cbrt y))
358.0ms	(cbrt y)
177.0ms	(cbrt y)
183.0ms	(cbrt y)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

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

prune304.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.2b	(* (log (* (cbrt 1) (pow y 2/3))) x)
0.6b	(cbrt y)
5.9b	(pow y 2/3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

4.0ms	(* (log (cbrt y)) x)
10.0ms	(* (log (* (cbrt 1) (pow y 2/3))) x)
0.0ms	(cbrt y)
1.0ms	(pow y 2/3)

series580.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (log (cbrt y)) x)
109.0ms	(* (log (* (cbrt 1) (pow y 2/3))) x)
178.0ms	(cbrt y)
175.0ms	(pow y 2/3)

simplify116.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	246	345
1	870	296
2	4315	275
3	5001	270

prune327.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes168.0ms

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	26	13
1	26	13

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	24148×	body	80	nan
534.0ms	8028×	body	80	valid
1.0ms	2×	body	1280	valid