Details

sample79.0ms

Algorithm

intervals

Results

25.0ms	827×	body	80	nan
12.0ms	257×	body	80	valid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

47.0ms	(- (- (* x (log y)) y) z)
9.0ms	(- (* x (log y)) y)
149.0ms	(+ (- (- (* x (log y)) y) z) (log t))
8.0ms	(* x (log y))

series180.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (- (* x (log y)) y) z)
56.0ms	(- (* x (log y)) y)
52.0ms	(+ (- (- (* x (log y)) y) z) (log t))
39.0ms	(* x (log y))

simplify112.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	376	617
1	1219	584
2	4445	548
3	5001	548

prune244.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (* 2 (log (cbrt t))) (* x (log y))) (+ y z)) (log (cbrt t)))
0.3b	(* x (log y))
0.7b	(cbrt t)
0.7b	(cbrt t)

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

222.0ms	(+ (- (+ (* 2 (log (cbrt t))) (* x (log y))) (+ y z)) (log (cbrt t)))
8.0ms	(* x (log y))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series495.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(+ (- (+ (* 2 (log (cbrt t))) (* x (log y))) (+ y z)) (log (cbrt t)))
36.0ms	(* x (log y))
166.0ms	(cbrt t)
169.0ms	(cbrt t)

simplify37.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	329	629
1	1230	559
2	5001	494

prune268.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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)

rewrite16.0ms

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:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series729.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt y) (cbrt y))
177.0ms	(cbrt y)
180.0ms	(cbrt y)
176.0ms	(cbrt y)

simplify93.0ms

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

prune296.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.2b	(* x (log (* 1 (pow y 2/3))))
0.6b	(cbrt y)
6.0b	(pow y 2/3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

9.0ms	(* (log (cbrt y)) x)
22.0ms	(* x (log (* 1 (pow y 2/3))))
1.0ms	(cbrt y)
3.0ms	(pow y 2/3)

series579.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (log (cbrt y)) x)
91.0ms	(* x (log (* 1 (pow y 2/3))))
177.0ms	(cbrt y)
175.0ms	(pow y 2/3)

simplify42.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	248	327
1	1097	273
2	5001	260

prune299.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes140.0ms

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	27	12
1	29	12
2	29	12

end0.0ms

sample2.1s

Algorithm

intervals

Results

736.0ms	23513×	body	80	nan
314.0ms	8024×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid