Details

sample73.0ms

Algorithm

intervals

Results

28.0ms	849×	body	80	nan
13.0ms	257×	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 3 expressions with local error:

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

rewrite24.0ms

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:

12.0ms	(+ (- (- (* x (log y)) y) z) (log t))
4.0ms	(- (* x (log y)) y)
5.0ms	(* x (log y))

series139.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (- (- (* x (log y)) y) z) (log t))
52.0ms	(- (* x (log y)) y)
40.0ms	(* x (log y))

simplify107.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (31.0ms)

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

prune206.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series550.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* x (log (cbrt y)))
100.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
176.0ms	(cbrt y)
183.0ms	(cbrt y)

simplify54.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	345	729
1	1431	634
2	5001	547

prune429.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (exp (* (log y) 1/3))))) (* x (log (cbrt y))))
0.4b	(* (log y) 1/3)
0.6b	(cbrt y)
4.2b	(exp (* (log y) 1/3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`distribute-rgt-in` `distribute-lft-in`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-+l+` `associate-+r+`
9×	`cbrt-prod`
7×	`pow1` `add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
4×	`associate-l`
3×	`associate-r`
1×	`+-commutative` `exp-prod` `exp-to-pow` `flip3-+` `pow1/3` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `rem-exp-log` `distribute-lft-out` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

10.0ms	(+ (* x (* 2 (log (exp (* (log y) 1/3))))) (* x (log (cbrt y))))
5.0ms	(* (log y) 1/3)
1.0ms	(cbrt y)
2.0ms	(exp (* (log y) 1/3))

series631.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(+ (* x (* 2 (log (exp (* (log y) 1/3))))) (* x (log (cbrt y))))
143.0ms	(* (log y) 1/3)
177.0ms	(cbrt y)
176.0ms	(exp (* (log y) 1/3))

simplify50.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	378	585
1	1297	482
2	5001	392

prune384.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (pow y 1/3)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (+ 0 (* x (log (pow y 1/3)))))
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

38×	`log-prod`
31×	`distribute-rgt-in` `distribute-lft-in`
24×	`associate-+l+`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
9×	`unpow-prod-down` `add-log-exp`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube`
4×	`associate-r`
3×	`pow-unpow` `associate-l` `sum-log` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

6.0ms	(* x (log (pow y 1/3)))
11.0ms	(+ (* x (* 2 (log (cbrt y)))) (+ 0 (* x (log (pow y 1/3)))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series572.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* x (log (pow y 1/3)))
142.0ms	(+ (* x (* 2 (log (cbrt y)))) (+ 0 (* x (log (pow y 1/3)))))
177.0ms	(cbrt y)
173.0ms	(pow y 1/3)

simplify75.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	440	707
1	1938	578
2	5002	536

prune415.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes352.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	19
1	38	19
2	38	19

end0.0ms

sample2.0s

Algorithm

intervals

Results

827.0ms	24075×	body	80	nan
339.0ms	8021×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid