Details

sample92.0ms

Algorithm

intervals

Results

39.0ms	701×	body	80	nan
20.0ms	261×	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

localize14.0ms

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))

rewrite77.0ms

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:

65.0ms	(+ (- (- (* x (log y)) y) z) (log t))
4.0ms	(- (* x (log y)) y)
4.0ms	(* x (log y))

series137.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (- (- (* x (log y)) y) z) (log t))
58.0ms	(- (* x (log y)) y)
38.0ms	(* x (log y))

simplify77.0ms

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

prune243.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite367.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

1.0ms	(log (sqrt t))
68.0ms	(+ (- (- (* x (log y)) y) z) (log (sqrt t)))
290.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
4.0ms	(* x (log y))

series211.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(log (sqrt t))
52.0ms	(+ (- (- (* x (log y)) y) z) (log (sqrt t)))
57.0ms	(+ (+ (- (- (* x (log y)) y) z) (log (sqrt t))) (log (sqrt t)))
38.0ms	(* x (log y))

simplify42.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	456	898
1	1555	810
2	5001	740

prune303.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 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)))
13.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series730.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* x (log (cbrt y)))
98.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
359.0ms	(cbrt y)
181.0ms	(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

prune418.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

7.0ms	(* (* x 1/3) (log y))
15.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
3.0ms	(* x 1/3)
1.0ms	(cbrt y)

series384.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* x 1/3) (log y))
151.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (* x 1/3) (log y)))
14.0ms	(* x 1/3)
176.0ms	(cbrt y)

simplify75.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	421	677
1	1947	555
2	5002	453

prune366.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes248.0ms

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	15	10
1	15	10

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	23955×	body	80	nan
542.0ms	8030×	body	80	valid
0.0ms	1×	body	640	valid