Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify37.0ms

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: 13.7b

Counts

2 → 1

localize11.0ms

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)
1.7b	(- (* (* z 2.0) z) (* y t))
20.8b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite32.0ms

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:

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

series319.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
17.0ms	(* (* y 2.0) z)
37.0ms	(- (* (* z 2.0) z) (* y t))
183.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (10.0ms)

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

prune163.0ms

Filtered

81 candidates to 53 candidates (65.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	73	8	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	8	82

Merged error: 5.3b

Counts

82 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

5.9b	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
26.3b	(cbrt (- (* (* z 2.0) z) (* y t)))
26.3b	(cbrt (- (* (* z 2.0) z) (* y t)))
26.3b	(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`add-exp-log`
12×	`add-cbrt-cube`
9×	`cbrt-prod` `flip3--` `flip--`
8×	`associate-/r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `cbrt-undiv` `frac-times` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `associate-l/`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 68

Calls

4 calls:

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

series620.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
126.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
127.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
123.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	436	1040
1	1466	920
2	5001	905

prune269.0ms

Filtered

80 candidates to 67 candidates (83.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	80	8	88

Merged error: 5.3b

Counts

88 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (pow z 2))
1.7b	(- (* 2.0 (pow z 2)) (* t y))
4.2b	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
21.8b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
23×	`add-exp-log` `associate-r`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
18×	`times-frac`
9×	`pow1` `prod-exp`
7×	`cbrt-unprod`
6×	`add-log-exp`
4×	`unpow-prod-down` `associate-l` `associate-/r/` `unswap-sqr`
3×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-/r` `flip--` `associate-/l`
2×	`*-commutative` `div-inv` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `associate-*r/` `pow-exp` `clear-num`

Counts

4 → 103

Calls

4 calls:

5.0ms	(* 2.0 (pow z 2))
4.0ms	(- (* 2.0 (pow z 2)) (* t y))
10.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 2.0 (pow z 2))
43.0ms	(- (* 2.0 (pow z 2)) (* t y))
186.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
51.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	413	833
1	2140	710
2	5002	709

prune240.0ms

Filtered

115 candidates to 77 candidates (67.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	114	9	123

Merged error: 5.3b

Counts

123 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.7b	(- (* (* z 2.0) z) (* y t))
4.8b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
21.8b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite35.0ms

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:

10.0ms	(- 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)

series384.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
43.0ms	(- (* (* z 2.0) z) (* y t))
195.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
59.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify72.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (59.0ms)

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

prune231.0ms

Filtered

114 candidates to 84 candidates (73.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	110	4	114
Fresh	3	3	6
Picked	1	0	1
Done	1	1	2
Total	115	8	123

Merged error: 2.6b

Counts

123 → 8

regimes128.0ms

Accuracy

0% (0.7b remaining)

Error of 2.9b against oracle of 2.2b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample569.0ms

Algorithm

intervals

Results

364.0ms

8000×

body

valid