Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify50.0ms

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: 11.3b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.2b	(* (* y 2.0) z)
0.6b	(- (* (* z 2.0) z) (* y t))
17.1b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

9.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
5.0ms	(* (* y 2.0) z)
5.0ms	(- (* (* z 2.0) z) (* y t))
15.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series415.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
25.0ms	(* (* y 2.0) z)
49.0ms	(- (* (* z 2.0) z) (* y t))
228.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify71.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	346	636
1	1760	550
2	5001	550

prune205.0ms

Filtered

81 candidates to 53 candidates (65.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	74	7	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	7	82

Merged error: 4.1b

Counts

82 → 7

localize16.0ms

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))
4.3b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
16.7b	(/ (- (* (* 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:

11.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
5.0ms	(- (* (* z 2.0) z) (* y t))
9.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series461.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
48.0ms	(- (* (* z 2.0) z) (* y t))
231.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
72.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify85.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (71.0ms)

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

prune296.0ms

Filtered

114 candidates to 84 candidates (73.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	116	5	121

Merged error: 1.4b

Counts

121 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z 2.0) (/ (* t y) z))
0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
3.9b	(/ (* t y) z)
4.3b	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

6.0ms	(- (* z 2.0) (/ (* t y) z))
9.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
9.0ms	(/ (* t y) z)
9.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

series364.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* z 2.0) (/ (* t y) z))
86.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
24.0ms	(/ (* t y) z)
207.0ms	(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	334	566
1	1494	506
2	5001	506

prune187.0ms

Filtered

82 candidates to 57 candidates (69.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	83	4	87

Merged error: 0.5b

Counts

87 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z 2.0) (* t (/ y z)))
0.0b	(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
4.3b	(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))
5.2b	(* t (/ y z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
13×	`times-frac` `associate-r`
8×	`add-log-exp`
6×	`pow1`
3×	`cbrt-undiv` `flip3--` `div-exp` `associate-l` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`sub-neg` `diff-log` `associate-/r/` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 81

Calls

4 calls:

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

series371.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (* z 2.0) (* t (/ y z)))
85.0ms	(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
205.0ms	(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))
28.0ms	(* t (/ y z))

simplify64.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	395	614
1	1802	554
2	5001	554

prune201.0ms

Filtered

93 candidates to 66 candidates (71.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	92	5	97

Merged error: 0.5b

Counts

97 → 5

regimes141.0ms

Accuracy

38.3% (1.1b remaining)

Error of 1.6b against oracle of 0.5b and baseline of 2.3b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	22
1	30	22

end0.0ms

sample562.0ms

Algorithm

intervals

Results

353.0ms

8000×

body

valid