Details

sample75.0ms

Algorithm

intervals

Results

28.0ms	45×	body	1280	valid
16.0ms	150×	body	80	valid
16.0ms	39×	body	640	valid
6.0ms	19×	body	320	valid
1.0ms	3×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	9
1	43	9
2	93	9
3	174	9
4	269	9
5	288	9
6	288	9

prune3.0ms

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: 16.2b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))
16.0b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

9.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
7.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
11.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series25.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
7.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
12.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify54.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	402	818
1	2097	614
2	5002	599

prune182.0ms

Filtered

62 candidates to 88 candidates (-41.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	77	11	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	11	89

Merged error: 0.1b

Counts

89 → 11

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) (sin x))
0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 98

Calls

3 calls:

4.0ms	(/ (sin (* 0.5 x)) (sin x))
11.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
7.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series25.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ (sin (* 0.5 x)) (sin x))
12.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
6.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify63.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	463	970
1	2477	779
2	5002	764

prune190.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	110	8	118

Merged error: 0b

Counts

118 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) 3.0)
0.1b	(/ (sin (* 0.5 x)) (sin x))
0.2b	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
27×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r` `associate-/l`
3×	`associate-*r/` `pow-prod-down` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-l` `associate-l/` `-commutative`

Counts

3 → 93

Calls

3 calls:

4.0ms	(/ (sin (* 0.5 x)) 3.0)
4.0ms	(/ (sin (* 0.5 x)) (sin x))
12.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ (sin (* 0.5 x)) 3.0)
7.0ms	(/ (sin (* 0.5 x)) (sin x))
12.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	426	934
1	2116	775
2	5001	753

prune179.0ms

Filtered

73 candidates to 102 candidates (-39.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	102	8	110

Merged error: 0b

Counts

110 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sin x))
0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))
16.1b	(* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (/ 1 (sin x)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-exp-log`
52×	`add-cbrt-cube`
43×	`prod-exp`
33×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
25×	`cbrt-unprod`
21×	`pow1`
19×	`associate-r`
16×	`div-exp`
15×	`associate-l`
10×	`pow-prod-down`
9×	`cbrt-undiv`
8×	`associate-*l/`
5×	`rec-exp` `1-exp`
4×	`add-log-exp`
3×	`associate-/r` `-commutative` `div-inv` `associate-/l*`
2×	`unswap-sqr`
1×	`frac-times` `pow-flip` `frac-2neg` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 137

Calls

4 calls:

4.0ms	(/ 1 (sin x))
9.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
10.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
14.0ms	(* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (/ 1 (sin x)))

series25.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (sin x))
6.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
4.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
11.0ms	(* (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (/ 1 (sin x)))

simplify75.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	590	1352
1	3153	985
2	5002	926

prune364.0ms

Filtered

84 candidates to 149 candidates (-77.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	149	8	157

Merged error: 0b

Counts

157 → 8

regimes49.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	9
1	14	9

end0.0ms

sample2.2s

Algorithm

intervals

Results

944.0ms	1464×	body	1280	valid
505.0ms	1214×	body	640	valid
381.0ms	4340×	body	80	valid
184.0ms	655×	body	320	valid
68.0ms	327×	body	160	valid

Details

sample75.0ms

simplify15.0ms

prune3.0ms

localize10.0ms

rewrite30.0ms

series25.0ms

simplify54.0ms

prune182.0ms

localize13.0ms

rewrite26.0ms

series25.0ms

simplify63.0ms

prune190.0ms

localize10.0ms

rewrite23.0ms

series22.0ms

simplify57.0ms

prune179.0ms

localize11.0ms

rewrite42.0ms

series25.0ms

simplify75.0ms

prune364.0ms

regimes49.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.2s

Profiling