Details

sample66.0ms

Algorithm

intervals

Results

24.0ms	746×	body	80	nan
10.0ms	256×	body	80	valid

simplify34.0ms

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

localize11.0ms

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))

rewrite27.0ms

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:

4.0ms	(- (* x (log y)) y)
15.0ms	(+ (- (- (* x (log y)) y) z) (log t))
5.0ms	(* x (log y))

series138.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (* x (log y)) y)
46.0ms	(+ (- (- (* x (log y)) y) z) (log t))
39.0ms	(* x (log y))

simplify78.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (24.0ms)

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

prune245.0ms

Pruning

5 alts after pruning (5 fresh and 0 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)

rewrite14.0ms

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:

8.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series747.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt y) (cbrt y))
190.0ms	(cbrt y)
178.0ms	(cbrt y)
176.0ms	(cbrt y)

simplify92.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (87.0ms)

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

prune329.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite13.0ms

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:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series753.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt y) (cbrt y))
184.0ms	(cbrt y)
183.0ms	(cbrt y)
181.0ms	(pow y 1/3)

simplify146.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (29.0ms)

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

prune355.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
30×	`log-prod`
22×	`distribute-lft-out`
20×	`associate--l+`
19×	`add-log-exp`
18×	`pow1` `add-sqr-sqrt`
16×	`add-cube-cbrt`
12×	`associate-+r+` `log-pow`
11×	`associate-+l+`
10×	`sum-log`
9×	`distribute-rgt-in` `distribute-lft-in`
7×	`diff-log`
6×	`add-exp-log` `sqrt-prod` `add-cbrt-cube` `distribute-lft-out--`
4×	`associate-r`
3×	`associate-+l-` `sub-neg` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

5.0ms	(- (* x (log y)) y)
16.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
13.0ms	(+ (- (- (* x (log y)) y) z) (log (sqrt t)))
5.0ms	(* x (log y))

series207.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* x (log y)) y)
53.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
56.0ms	(+ (- (- (* x (log y)) y) z) (log (sqrt t)))
39.0ms	(* x (log y))

simplify43.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	453	915
1	1520	828
2	5002	778

prune309.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes201.0ms

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	21	13
1	21	13

end0.0ms

sample2.0s

Algorithm

intervals

Results

790.0ms	24183×	body	80	nan
325.0ms	8035×	body	80	valid