Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	259×	body	80	valid
10.0ms	289×	body	80	nan

simplify142.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	6
1	61	6
2	192	6
3	649	6
4	1602	6
5	2720	6
6	3667	6
7	4387	6
8	4711	6
9	4956	6
10	5001	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

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
8×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`add-cube-cbrt` `log-prod`
5×	`pow1`
4×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`associate-+l+` `flip3-+` `associate-*l/` `sum-log` `flip-+` `distribute-lft-out`
1×	`+-commutative` `associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 44

Calls

2 calls:

5.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
7.0ms	(* (+ y 0.5) (log y))

series277.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
235.0ms	(* (+ y 0.5) (log y))

simplify98.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	293	330
1	1007	287
2	4787	274
3	5001	274

prune106.0ms

Filtered

50 candidates to 34 candidates (68.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	43	7	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	7	51

Merged error: 0.0b

Counts

51 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.1b	(+ (- x (+ (* (log (sqrt y)) (+ y 0.5)) (* (log (sqrt y)) (+ y 0.5)))) y)
0.1b	(* (log (sqrt y)) (+ y 0.5))
0.1b	(* (log (sqrt y)) (+ y 0.5))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`pow1` `add-sqr-sqrt`
13×	`add-log-exp`
12×	`associate-l`
10×	`add-cube-cbrt`
9×	`add-exp-log` `log-pow`
8×	`associate-r` `add-cbrt-cube`
6×	`log-prod`
4×	`associate-*r/` `sum-log` `distribute-lft-out`
3×	`sqrt-pow1` `flip3-+` `pow1/2` `sqrt-prod` `flip-+`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `rem-log-exp` `distribute-lft-out--`

Counts

4 → 87

Calls

4 calls:

2.0ms	(log (sqrt y))
12.0ms	(+ (- x (+ (* (log (sqrt y)) (+ y 0.5)) (* (log (sqrt y)) (+ y 0.5)))) y)
7.0ms	(* (log (sqrt y)) (+ y 0.5))
7.0ms	(* (log (sqrt y)) (+ y 0.5))

series357.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(log (sqrt y))
123.0ms	(+ (- x (+ (* (log (sqrt y)) (+ y 0.5)) (* (log (sqrt y)) (+ y 0.5)))) y)
85.0ms	(* (log (sqrt y)) (+ y 0.5))
87.0ms	(* (log (sqrt y)) (+ y 0.5))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	369	763
1	1314	640
2	5001	620

prune232.0ms

Filtered

99 candidates to 69 candidates (69.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	100	6	106

Merged error: 0.0b

Counts

106 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

49×	`distribute-rgt-in` `distribute-lft-in`
48×	`log-prod`
30×	`cbrt-prod`
25×	`*-un-lft-identity`
24×	`associate-+l+`
23×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `associate-*l/` `flip-+` `add-log-exp`
4×	`associate-r/` `associate-l*` `frac-add`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+` `pow1/3`
1×	`+-commutative` `associate-r` `sum-log` `*-commutative` `distribute-lft-out`

Counts

4 → 108

Calls

4 calls:

9.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
13.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.8s

Counts

4 → 12

Calls

4 calls:

458.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
954.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
175.0ms	(cbrt y)
179.0ms	(cbrt y)

simplify73.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	640	1104
1	2507	971
2	5003	939

prune319.0ms

Filtered

120 candidates to 91 candidates (75.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	120	6	126

Merged error: 0b

Counts

126 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
0.2b	(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
0.6b	(cbrt y)
5.0b	(pow y 1/3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

7.0ms	(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
6.0ms	(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series1.7s

Counts

4 → 12

Calls

4 calls:

858.0ms	(+ (* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2))) (* (log (cbrt y)) 0.5))
457.0ms	(* (log (pow y 1/3)) (+ y (* (+ y 0.5) 2)))
172.0ms	(cbrt y)
187.0ms	(pow y 1/3)

simplify60.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	391	537
1	1772	452
2	5002	434

prune226.0ms

Filtered

77 candidates to 60 candidates (77.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	77	6	83

Merged error: 0b

Counts

83 → 6

regimes84.0ms

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	12
1	15	12

end0.0ms

sample953.0ms

Algorithm

intervals

Results

340.0ms	8046×	body	80	valid
278.0ms	8131×	body	80	nan