Details

sample73.0ms

Algorithm

intervals

Results

22.0ms	714×	body	80	nan
12.0ms	260×	body	80	valid

simplify31.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite211.0ms

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:

144.0ms	(+ (- (- (* x (log y)) y) z) (log t))
46.0ms	(- (- (* x (log y)) y) z)
9.0ms	(- (* x (log y)) y)
9.0ms	(* x (log y))

series161.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (- (- (* x (log y)) y) z) (log t))
33.0ms	(- (- (* x (log y)) y) z)
50.0ms	(- (* x (log y)) y)
38.0ms	(* x (log y))

simplify104.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (29.0ms)

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

prune261.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

2.0ms	(log (sqrt y))
44.0ms	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) y)
11.0ms	(* x (log (sqrt y)))
11.0ms	(* x (log (sqrt y)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(log (sqrt y))
55.0ms	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) y)
82.0ms	(* x (log (sqrt y)))
83.0ms	(* x (log (sqrt y)))

simplify141.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	305	757
1	1079	646
2	4761	616
3	5001	616

prune287.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)

rewrite19.0ms

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)
4.0ms	(cbrt y)
1.0ms	(cbrt y)

series753.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt y) (cbrt y))
184.0ms	(cbrt y)
180.0ms	(cbrt y)
181.0ms	(cbrt y)

simplify91.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (86.0ms)

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

prune309.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (pow (/ 1 y) -2/3)))
0.3b	(* (log (cbrt y)) x)
0.6b	(cbrt y)
6.0b	(pow (/ 1 y) -2/3)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

39×	`unpow-prod-down`
37×	`add-sqr-sqrt`
34×	`log-prod`
33×	`add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
17×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-exp-log`
11×	`pow1`
8×	`associate-l` `add-cbrt-cube`
7×	`associate-r`
4×	`pow-exp` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `log-pow` `div-inv` `sqr-pow`
2×	`pow1/3` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `inv-pow`

Counts

4 → 116

Calls

4 calls:

17.0ms	(* x (log (pow (/ 1 y) -2/3)))
8.0ms	(* (log (cbrt y)) x)
1.0ms	(cbrt y)
7.0ms	(pow (/ 1 y) -2/3)

series559.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* x (log (pow (/ 1 y) -2/3)))
115.0ms	(* (log (cbrt y)) x)
189.0ms	(cbrt y)
176.0ms	(pow (/ 1 y) -2/3)

simplify56.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	451	785
1	1878	671
2	5002	617

prune382.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes125.0ms

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	14	11
1	14	11

end0.0ms

sample2.3s

Algorithm

intervals

Results

776.0ms	24153×	body	80	nan
324.0ms	8032×	body	80	valid
0.0ms	1×	body	160	valid