Details

sample71.0ms

Algorithm

intervals

Results

29.0ms	849×	body	80	nan
11.0ms	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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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))

rewrite23.0ms

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)
4.0ms	(* x (log y))

series134.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (- (- (* x (log y)) y) z) (log t))
57.0ms	(- (* x (log y)) y)
36.0ms	(* x (log y))

simplify83.0ms

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

prune194.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)

rewrite22.0ms

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)

series551.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* x (log (cbrt y)))
98.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
180.0ms	(cbrt y)
183.0ms	(cbrt y)

simplify52.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

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

prune414.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

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))

rewrite19.0ms

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:

9.0ms	(+ (* x (* 2 (log (exp (* (log y) 1/3))))) (* x (log (cbrt y))))
4.0ms	(* (log y) 1/3)
1.0ms	(cbrt y)
2.0ms	(exp (* (log y) 1/3))

series635.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(+ (* x (* 2 (log (exp (* (log y) 1/3))))) (* x (log (cbrt y))))
153.0ms	(* (log y) 1/3)
178.0ms	(cbrt y)
173.0ms	(exp (* (log y) 1/3))

simplify56.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (43.0ms)

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

prune361.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

48×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
27×	`cbrt-prod`
24×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
6×	`add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `associate-r` `pow-exp` `sum-log` `*-commutative` `flip-+` `sqr-pow`

Counts

4 → 106

Calls

4 calls:

6.0ms	(* x (* 2 (log (cbrt y))))
10.0ms	(+ (* x (* 2 (log (cbrt y)))) (pow (* x (log (pow y 1/3))) 1))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series593.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* x (* 2 (log (cbrt y))))
137.0ms	(+ (* x (* 2 (log (cbrt y)))) (pow (* x (log (pow y 1/3))) 1))
186.0ms	(cbrt y)
170.0ms	(pow y 1/3)

simplify61.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	425	836
1	1652	691
2	5002	575

prune427.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes245.0ms

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	26	14
1	26	14

end0.0ms

sample2.0s

Algorithm

intervals

Results

847.0ms	24075×	body	80	nan
345.0ms	8021×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid