Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	61	8
2	141	8
3	347	8
4	792	8
5	5002	8

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: 11.8b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.6b	(- (* (* z 2.0) z) (* y t))
18.8b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cube-cbrt`
3×	`pow1` `cbrt-undiv` `flip3--` `times-frac` `div-exp` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`sub-neg` `diff-log` `associate-/r/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

8.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
4.0ms	(- (* (* z 2.0) z) (* y t))
10.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series322.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
39.0ms	(- (* (* z 2.0) z) (* y t))
195.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	318	564
1	1519	493
2	5002	493

prune156.0ms

Filtered

60 candidates to 42 candidates (70.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	8	61

Merged error: 5.3b

Counts

61 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.6b	(- (* (* z 2.0) z) (* y t))
4.8b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.4b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
28×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`add-cube-cbrt`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
8×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `div-inv` `associate-/l*`
3×	`flip3--` `flip--`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`div-sub` `associate-/r/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

13.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
4.0ms	(- (* (* z 2.0) z) (* y t))
8.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series377.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
44.0ms	(- (* (* z 2.0) z) (* y t))
192.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
53.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify68.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	472	1105
1	2263	993
2	5002	988

prune303.0ms

Filtered

114 candidates to 84 candidates (73.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	106	8	114
Fresh	6	0	6
Picked	1	0	1
Done	0	1	1
Total	113	9	122

Merged error: 1.9b

Counts

122 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
4.8b	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
5.0b	(/ (* t y) z)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
56×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
47×	`add-cube-cbrt`
16×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv`
5×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`associate-/l*`
3×	`pow1` `difference-of-squares`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

3 → 107

Calls

3 calls:

16.0ms	(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
8.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
5.0ms	(/ (* t y) z)

series270.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
180.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
24.0ms	(/ (* t y) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	504	1186
1	2135	1125
2	5002	1124

prune303.0ms

Filtered

116 candidates to 88 candidates (75.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	112	4	116
Fresh	7	0	7
Picked	1	0	1
Done	0	1	1
Total	120	5	125

Merged error: 0.5b

Counts

125 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
3.7b	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
4.8b	(/ y (/ (- (* 2.0 z) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))) 2.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

103×	`times-frac`
79×	`add-sqr-sqrt`
63×	`add-cube-cbrt` `*-un-lft-identity`
30×	`add-exp-log`
23×	`add-cbrt-cube`
22×	`associate-r`
17×	`cbrt-prod`
13×	`associate-/r*`
10×	`cbrt-undiv` `div-exp`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-l` `div-inv`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`associate-/l*`
2×	`pow1/3`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `associate-/r/` `*-commutative`

Counts

4 → 151

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
15.0ms	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
7.0ms	(/ y (/ (- (* 2.0 z) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))) 2.0))

series632.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt z)
188.0ms	(cbrt z)
48.0ms	(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
216.0ms	(/ y (/ (- (* 2.0 z) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))) 2.0))

simplify91.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	740	2144
1	3677	1933
2	5001	1886

prune512.0ms

Filtered

163 candidates to 127 candidates (77.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	162	6	168

Merged error: 0.5b

Counts

168 → 6

regimes170.0ms

Accuracy

0% (1.1b remaining)

Error of 1.6b against oracle of 0.5b and baseline of 1.6b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	12
1	17	12

end0.0ms

sample508.0ms

Algorithm

intervals

Results

306.0ms

8000×

body

valid