Details

sample36.0ms

Algorithm

intervals

Results

11.0ms	201×	body	80	valid
6.0ms	20×	body	1280	valid
5.0ms	26×	body	640	valid
3.0ms	21×	body	320	valid
1.0ms	15×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	4

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: 1.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.0b	(/ (* x (/ (sin y) y)) z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

7.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
6.0ms	(/ (* x (/ (sin y) y)) z)

series160.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* x (/ (sin y) y))
29.0ms	(/ (sin y) y)
73.0ms	(/ (* x (/ (sin y) y)) z)

simplify51.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5001	420

prune175.0ms

Filtered

92 candidates to 66 candidates (71.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 0.0b

Counts

93 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.2b	(* (sin y) (/ 1 y))
1.0b	(/ (* x (* (sin y) (/ 1 y))) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-cbrt-cube`
22×	`prod-exp`
21×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`add-cube-cbrt` `times-frac` `associate-r`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `associate-*r/`
6×	`associate-l`
4×	`pow-prod-down`
3×	`rec-exp` `1-exp` `associate-/r*` `un-div-inv` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

3 → 89

Calls

3 calls:

7.0ms	(* x (* (sin y) (/ 1 y)))
8.0ms	(* (sin y) (/ 1 y))
9.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

series160.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* x (* (sin y) (/ 1 y)))
35.0ms	(* (sin y) (/ 1 y))
70.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	415	565
1	2095	432
2	5002	410

prune143.0ms

Filtered

98 candidates to 60 candidates (61.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	98	6	104

Merged error: 0b

Counts

104 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
1.0b	(/ (* x (* (* (cbrt (sin y)) (cbrt (sin y))) (/ (cbrt (sin y)) y))) z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
23×	`add-cbrt-cube`
11×	`prod-exp` `cbrt-unprod`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-undiv` `div-exp`
4×	`pow1` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/r*`
2×	`associate-*r/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l/` `associate-/l*`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
14.0ms	(/ (* x (* (* (cbrt (sin y)) (cbrt (sin y))) (/ (cbrt (sin y)) y))) z)

series366.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (sin y))
101.0ms	(cbrt (sin y))
97.0ms	(cbrt (sin y))
69.0ms	(/ (* x (* (* (cbrt (sin y)) (cbrt (sin y))) (/ (cbrt (sin y)) y))) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	370	666
1	1922	475
2	5001	423

prune159.0ms

Filtered

75 candidates to 51 candidates (68.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	75	6	81

Merged error: 0b

Counts

81 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.4b	(/ 1 (/ (/ z x) (/ (sin y) y)))
2.1b	(/ (/ z x) (/ (sin y) y))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

2564×	`times-frac`
1114×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
190×	`associate-/r*`
139×	`div-inv`
61×	`add-exp-log`
43×	`div-exp`
35×	`add-cbrt-cube`
22×	`cbrt-undiv`
19×	`associate-/l*`
6×	`associate-/r/`
5×	`rec-exp` `1-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 974

Calls

3 calls:

4.0ms	(/ (sin y) y)
38.0ms	(/ 1 (/ (/ z x) (/ (sin y) y)))
10.0ms	(/ (/ z x) (/ (sin y) y))

series199.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ (sin y) y)
68.0ms	(/ 1 (/ (/ z x) (/ (sin y) y)))
101.0ms	(/ (/ z x) (/ (sin y) y))

simplify190.0ms

Algorithm

egg-herbie

Counts

983 → 983

Iterations

Useful iterations: 1 (73.0ms)

Iter	Nodes	Cost
0	3679	13389
1	5002	12903

prune2.0s

Filtered

983 candidates to 668 candidates (68.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	983	0	983
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	983	6	989

Merged error: 0b

Counts

989 → 6

regimes179.0ms

Accuracy

81.1% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 3.4b

bsearch70.0ms

Steps

Iters	Range		Point
9	1.1146202952519258e+79	7.923002044620438e+84	2.908889239515125e+83
7	-1.3854357611465948e+56	-4.954656935459967e+54	-7.696849941471373e+55

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

266.0ms	951×	body	1280	valid
255.0ms	5914×	body	80	valid
188.0ms	1008×	body	640	valid
73.0ms	572×	body	320	valid
26.0ms	294×	body	160	valid