Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune7.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 9.7b

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))))
0.7b	(- (* (* z 2.0) z) (* y t))
15.8b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite22.0ms

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:

7.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
4.0ms	(- (* (* z 2.0) z) (* y t))
9.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series58.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
8.0ms	(- (* (* z 2.0) z) (* y t))
24.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (8.0ms)

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

prune103.0ms

Filtered

60 candidates to 42 candidates (30.0%)

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: 4.5b

Counts

61 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

4.6b	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
18.2b	(cbrt (- (* (* z 2.0) z) (* y t)))
18.2b	(cbrt (- (* (* z 2.0) z) (* y t)))
18.2b	(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite29.0ms

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:

13.0ms	(/ (* 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)))
4.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
4.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series131.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
23.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
23.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
25.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	444	1044
1	1490	920
2	5001	907

prune206.0ms

Filtered

80 candidates to 67 candidates (16.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	80	8	88

Merged error: 4.5b

Counts

88 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
0.7b	(- (* 2.0 (pow z 2)) (* t y))
6.1b	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
13.0b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

3.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
4.0ms	(- (* 2.0 (pow z 2)) (* t y))
10.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
5.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

series68.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
8.0ms	(- (* 2.0 (pow z 2)) (* t y))
25.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
10.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	391	883
1	1978	774
2	5001	773

prune154.0ms

Filtered

100 candidates to 69 candidates (31.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	99	9	108

Merged error: 4.5b

Counts

108 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(- (* (* z 2.0) z) (* y t))
15.8b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))
15.8b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))
15.8b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

4.0ms	(- (* (* z 2.0) z) (* y t))
11.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))
9.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))
9.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* (* z 2.0) z) (* y t))
27.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))
24.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))
24.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	265	945
1	1370	756
2	5002	755

prune196.0ms

Filtered

99 candidates to 68 candidates (31.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	99	9	108

Merged error: 4.5b

Counts

108 → 9

regimes585.0ms

Accuracy

51.5% (0.9b remaining)

Error of 5.5b against oracle of 4.5b and baseline of 6.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	28
1	27	28

end0.0ms

sample693.0ms

Algorithm

intervals

Results

361.0ms

8000×

body

valid

Details

sample25.0ms

simplify33.0ms

prune7.0ms

localize11.0ms

rewrite22.0ms

series58.0ms

simplify45.0ms

prune103.0ms

localize15.0ms

rewrite29.0ms

series131.0ms

simplify45.0ms

prune206.0ms

localize11.0ms

rewrite24.0ms

series68.0ms

simplify58.0ms

prune154.0ms

localize14.0ms

rewrite36.0ms

series82.0ms

simplify45.0ms

prune196.0ms

regimes585.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample693.0ms

Profiling