Details

sample64.0ms

Algorithm

intervals

Results

26.0ms	734×	body	80	nan
10.0ms	258×	body	80	valid

simplify35.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

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))

rewrite106.0ms

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:

21.0ms	(- (- (* x (log y)) y) z)
4.0ms	(- (* x (log y)) y)
73.0ms	(+ (- (- (* x (log y)) y) z) (log t))
4.0ms	(* x (log y))

series178.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (- (* x (log y)) y) z)
54.0ms	(- (* x (log y)) y)
49.0ms	(+ (- (- (* x (log y)) y) z) (log t))
39.0ms	(* x (log y))

simplify103.0ms

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

prune265.0ms

Filtered

110 candidates to 76 candidates (69.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

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)

rewrite12.0ms

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:

9.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series739.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt y) (cbrt y))
188.0ms	(cbrt y)
175.0ms	(cbrt y)
175.0ms	(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	235

prune300.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
0.6b	(cbrt (* x (log y)))
0.6b	(cbrt (* x (log y)))
0.6b	(cbrt (* x (log y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
2.0ms	(cbrt (* x (log y)))
2.0ms	(cbrt (* x (log y)))
2.0ms	(cbrt (* x (log y)))

series493.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
115.0ms	(cbrt (* x (log y)))
122.0ms	(cbrt (* x (log y)))
116.0ms	(cbrt (* x (log y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	188	445
1	594	383
2	2797	337
3	5001	321

prune216.0ms

Filtered

70 candidates to 49 candidates (70.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.5b	(pow (sqrt (cbrt (* x (log y)))) 4)
0.6b	(cbrt (* x (log y)))
0.6b	(cbrt (* x (log y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1`
7×	`add-exp-log` `unpow-prod-down`
6×	`log-prod` `add-cbrt-cube`
4×	`pow-pow` `associate-r` `sqrt-prod` `add-log-exp`
3×	`cbrt-prod` `distribute-rgt-in` `pow-unpow` `distribute-lft-in` `pow1/3` `associate-l`
2×	`sqrt-pow1`
1×	`pow-to-exp` `pow1/2` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `sqrt-pow2` `cbrt-unprod` `unswap-sqr` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

4.0ms	(* x (log y))
2.0ms	(pow (sqrt (cbrt (* x (log y)))) 4)
2.0ms	(cbrt (* x (log y)))
2.0ms	(cbrt (* x (log y)))

series425.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* x (log y))
157.0ms	(pow (sqrt (cbrt (* x (log y)))) 4)
115.0ms	(cbrt (* x (log y)))
116.0ms	(cbrt (* x (log y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	266	458
1	907	360
2	5001	327

prune268.0ms

Filtered

80 candidates to 55 candidates (68.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes273.0ms

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	19	13
1	19	13

end0.0ms

sample1.9s

Algorithm

intervals

Results

773.0ms	24285×	body	80	nan
322.0ms	8025×	body	80	valid