Details

sample37.0ms

Algorithm

intervals

Results

10.0ms	36×	body	1280	valid
8.0ms	184×	body	80	valid
6.0ms	30×	body	640	valid
3.0ms	20×	body	320	valid
1.0ms	10×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 2.4b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.4b	(/ (* x (/ (sin y) y)) z)

rewrite19.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

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

series148.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
69.0ms	(/ (* x (/ (sin y) y)) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	333	511
1	1655	443
2	5001	443

prune193.0ms

Filtered

98 candidates to 72 candidates (73.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	89	9	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	9	99

Merged error: 0b

Counts

99 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.2b	(* (sin y) (/ 1 y))
2.4b	(/ (* x (* (sin y) (/ 1 y))) z)

rewrite30.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-/r*` `un-div-inv` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

3 → 95

Calls

3 calls:

8.0ms	(* x (* (sin y) (/ 1 y)))
7.0ms	(* (sin y) (/ 1 y))
12.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

series144.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* x (* (sin y) (/ 1 y)))
25.0ms	(* (sin y) (/ 1 y))
68.0ms	(/ (* x (* (sin y) (/ 1 y))) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	422	595
1	2107	461
2	5002	439

prune162.0ms

Filtered

104 candidates to 66 candidates (63.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	104	9	113

Merged error: 0b

Counts

113 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
0.2b	(/ 1 (/ z (* x (/ (sin y) y))))
2.3b	(/ z (* x (/ (sin y) y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
54×	`add-exp-log`
44×	`add-sqr-sqrt`
39×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-cbrt-cube`
26×	`div-exp`
14×	`cbrt-undiv`
13×	`associate-r`
12×	`associate-/r*`
10×	`prod-exp`
9×	`associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`associate-*r/` `associate-/r/` `cbrt-unprod`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 155

Calls

4 calls:

7.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
8.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
7.0ms	(/ z (* x (/ (sin y) y)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* x (/ (sin y) y))
27.0ms	(/ (sin y) y)
66.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
103.0ms	(/ z (* x (/ (sin y) y)))

simplify77.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	518	1041
1	2809	893
2	5001	852

prune247.0ms

Filtered

167 candidates to 103 candidates (61.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	168	8	176

Merged error: 0b

Counts

176 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

2.4b	(/ (* (* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y)))) (cbrt (* x (/ (sin y) y)))) z)
8.1b	(cbrt (* x (/ (sin y) y)))
8.1b	(cbrt (* x (/ (sin y) y)))
8.1b	(cbrt (* x (/ (sin y) y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
15×	`cbrt-div`
13×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`associate-/l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`frac-times` `associate-*l/`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `cbrt-prod` `times-frac` `pow1/3` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 68

Calls

4 calls:

11.0ms	(/ (* (* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y)))) (cbrt (* x (/ (sin y) y)))) z)
4.0ms	(cbrt (* x (/ (sin y) y)))
4.0ms	(cbrt (* x (/ (sin y) y)))
4.0ms	(cbrt (* x (/ (sin y) y)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ (* (* (cbrt (* x (/ (sin y) y))) (cbrt (* x (/ (sin y) y)))) (cbrt (* x (/ (sin y) y)))) z)
119.0ms	(cbrt (* x (/ (sin y) y)))
123.0ms	(cbrt (* x (/ (sin y) y)))
119.0ms	(cbrt (* x (/ (sin y) y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	262	784
1	1035	604
2	5001	541

prune190.0ms

Filtered

80 candidates to 68 candidates (85.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	80	8	88

Merged error: 0b

Counts

88 → 8

regimes232.0ms

Accuracy

88.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.7b

bsearch72.0ms

Steps

Iters	Range		Point
4	2529654550.545884	3623643182.046867	2905713142.6243463
10	-4.38185475066306e+81	-1.046981426553593e+65	-1.5958346741098731e+66

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	14
1	26	14

end0.0ms

sample1.0s

Algorithm

intervals

Results

269.0ms	950×	body	1280	valid
255.0ms	5896×	body	80	valid
203.0ms	1043×	body	640	valid
77.0ms	547×	body	320	valid
32.0ms	312×	body	160	valid