Details

sample64.0ms

Algorithm

intervals

Results

24.0ms	701×	body	80	nan
11.0ms	261×	body	80	valid

simplify32.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

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))

rewrite22.0ms

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))

series133.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (- (- (* 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 (25.0ms)

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

prune172.0ms

Filtered

83 candidates to 56 candidates (67.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	76	7	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	8	84

Merged error: 0.0b

Counts

84 → 8

localize18.0ms

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)

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)

series539.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* x (log (cbrt y)))
99.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
179.0ms	(cbrt y)
172.0ms	(cbrt y)

simplify54.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (45.0ms)

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

prune352.0ms

Filtered

114 candidates to 91 candidates (79.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	116	6	122

Merged error: 0b

Counts

122 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (+ (* 2/3 (log y)) (log (cbrt (sqrt y)))))
0.4b	(* 2/3 (log y))
0.6b	(cbrt (sqrt y))
0.6b	(cbrt (sqrt y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod`
9×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`log-prod` `associate-l` `sqrt-prod`
4×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
2×	`pow1/3` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3-+` `log-pow` `flip-+`

Counts

4 → 75

Calls

4 calls:

7.0ms	(* x (+ (* 2/3 (log y)) (log (cbrt (sqrt y)))))
4.0ms	(* 2/3 (log y))
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series603.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* x (+ (* 2/3 (log y)) (log (cbrt (sqrt y)))))
138.0ms	(* 2/3 (log y))
154.0ms	(cbrt (sqrt y))
151.0ms	(cbrt (sqrt y))

simplify42.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	347	524
1	1386	463
2	5001	441

prune269.0ms

Filtered

87 candidates to 62 candidates (71.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	87	6	93

Merged error: 0b

Counts

93 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* (log y) 5/6) x) (* x (log (cbrt (sqrt y)))))
0.3b	(* (* (log y) 5/6) x)
0.4b	(* (log y) 5/6)
0.6b	(cbrt (sqrt y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

8.0ms	(+ (* (* (log y) 5/6) x) (* x (log (cbrt (sqrt y)))))
5.0ms	(* (* (log y) 5/6) x)
4.0ms	(* (log y) 5/6)
2.0ms	(cbrt (sqrt y))

series574.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(+ (* (* (log y) 5/6) x) (* x (log (cbrt (sqrt y)))))
65.0ms	(* (* (log y) 5/6) x)
158.0ms	(* (log y) 5/6)
140.0ms	(cbrt (sqrt y))

simplify65.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	440	582
1	1579	531
2	5002	493

prune239.0ms

Filtered

92 candidates to 62 candidates (67.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	92	6	98

Merged error: 0b

Counts

98 → 6

regimes451.0ms

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	12	6
1	12	6

end0.0ms

sample2.1s

Algorithm

intervals

Results

881.0ms	23955×	body	80	nan
360.0ms	8030×	body	80	valid
0.0ms	1×	body	640	valid