Details

sample90.0ms

Algorithm

intervals

Results

42.0ms	881×	body	80	nan
12.0ms	256×	body	80	valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	10
1	122	10
2	509	10
3	2237	10
4	5001	10

prune3.0ms

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: 1.0b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (/ x (* y 27.0)))
1.0b	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
3.6b	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0b	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log` `add-cbrt-cube`
39×	`prod-exp` `cbrt-unprod`
29×	`add-sqr-sqrt`
27×	`cbrt-undiv` `div-exp`
21×	`associate-l`
18×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
15×	`times-frac`
10×	`pow1`
5×	`unswap-sqr`
4×	`sqrt-prod` `div-inv` `add-log-exp`
3×	`pow-prod-down` `*-commutative`
2×	`associate-r/` `associate-l/`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/l/` `associate-/l`

Counts

4 → 130

Calls

4 calls:

7.0ms	(* 3.0 (/ x (* y 27.0)))
6.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
12.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series155.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 3.0 (/ x (* y 27.0)))
16.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
91.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
30.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify101.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	740	1370
1	4281	1055
2	5002	1053

prune289.0ms

Filtered

142 candidates to 79 candidates (55.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	141	2	143

Merged error: 0b

Counts

143 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
1.0b	(/ (cbrt 1.0) (cbrt 3.0))
3.6b	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
8.0b	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-exp-log`
82×	`cbrt-prod`
81×	`add-cbrt-cube`
79×	`add-sqr-sqrt`
78×	`times-frac`
61×	`add-cube-cbrt` `*-un-lft-identity`
45×	`associate-l`
35×	`prod-exp` `cbrt-unprod`
26×	`cbrt-undiv` `div-exp`
9×	`associate-r`
8×	`pow1`
7×	`associate-/r` `associate-/l` `unswap-sqr`
4×	`sqrt-prod` `div-inv` `add-log-exp`
2×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`
1×	`associate-*r/` `associate-/l/`

Counts

4 → 193

Calls

4 calls:

11.0ms	(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
5.0ms	(/ (cbrt 1.0) (cbrt 3.0))
15.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
9.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

series229.0ms

Counts

4 → 10

Calls

4 calls:

109.0ms	(* (/ (cbrt 1.0) (cbrt 3.0)) (acos (* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))))
0.0ms	(/ (cbrt 1.0) (cbrt 3.0))
93.0ms	(* (/ (* 3.0 (/ x (* y 27.0))) (* z 2.0)) (sqrt t))
26.0ms	(/ (* 3.0 (/ x (* y 27.0))) (* z 2.0))

simplify106.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	800	2223
1	4236	1926
2	5003	1924

prune742.0ms

Filtered

203 candidates to 146 candidates (71.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	203	2	205

Merged error: 0b

Counts

205 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.1111111111111111 (/ x y))
1.0b	(* (/ 1.0 3.0) (acos (* (/ (* 0.1111111111111111 (/ x y)) (* z 2.0)) (sqrt t))))
3.5b	(* (/ (* 0.1111111111111111 (/ x y)) (* z 2.0)) (sqrt t))
8.1b	(/ (* 0.1111111111111111 (/ x y)) (* z 2.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

6.0ms	(* 0.1111111111111111 (/ x y))
6.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 0.1111111111111111 (/ x y)) (* z 2.0)) (sqrt t))))
11.0ms	(* (/ (* 0.1111111111111111 (/ x y)) (* z 2.0)) (sqrt t))
11.0ms	(/ (* 0.1111111111111111 (/ x y)) (* z 2.0))

series158.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* 0.1111111111111111 (/ x y))
16.0ms	(* (/ 1.0 3.0) (acos (* (/ (* 0.1111111111111111 (/ x y)) (* z 2.0)) (sqrt t))))
92.0ms	(* (/ (* 0.1111111111111111 (/ x y)) (* z 2.0)) (sqrt t))
26.0ms	(/ (* 0.1111111111111111 (/ x y)) (* z 2.0))

simplify101.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	693	1129
1	3749	910
2	5002	908

prune295.0ms

Filtered

139 candidates to 84 candidates (60.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	139	2	141

Merged error: 0b

Counts

141 → 2

regimes220.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	20
1	30	20

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s	23941×	body	80	nan
403.0ms	8000×	body	80	valid