Details

sample34.0ms

Algorithm

intervals

Results

15.0ms

502×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	6
1	50	6
2	159	6
3	351	6
4	609	6
5	733	6
6	1068	6
7	1342	6
8	1506	6
9	1553	6
10	1553	6

prune2.0ms

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: 7.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.7b	(* (* y 4.0) (- (* z z) t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in` `associate-r` `associate--r+` `add-log-exp`
3×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-*r/` `flip--`
1×	`diff-log` `associate-l` `*-commutative` `difference-of-squares`

Counts

2 → 41

Calls

2 calls:

4.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms	(* (* y 4.0) (- (* z z) t))

series339.0ms

Counts

2 → 6

Calls

2 calls:

272.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
67.0ms	(* (* y 4.0) (- (* z z) t))

simplify41.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	269	322
1	1276	286
2	5001	281

prune91.0ms

Filtered

47 candidates to 29 candidates (61.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	40	7	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	8	48

Merged error: 2.7b

Counts

48 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

4.9b	(cbrt (* (* y 4.0) (- (* z z) t)))
6.7b	(* (* y 4.0) (- (* z z) t))
6.7b	(* (* y 4.0) (- (* z z) t))
6.7b	(* (* y 4.0) (- (* z z) t))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-r`
10×	`add-sqr-sqrt`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-*r/`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
4×	`flip3--` `flip--` `add-log-exp`
3×	`associate-l` `*-commutative` `difference-of-squares`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 86

Calls

4 calls:

6.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
8.0ms	(* (* y 4.0) (- (* z z) t))
8.0ms	(* (* y 4.0) (- (* z z) t))
9.0ms	(* (* y 4.0) (- (* z z) t))

series338.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
63.0ms	(* (* y 4.0) (- (* z z) t))
62.0ms	(* (* y 4.0) (- (* z z) t))
65.0ms	(* (* y 4.0) (- (* z z) t))

simplify41.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	291	616
1	1138	518
2	5002	507

prune218.0ms

Filtered

98 candidates to 61 candidates (62.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	98	8	106

Merged error: 2.7b

Counts

106 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
7.2b	(cbrt (- (* z z) t))
7.2b	(cbrt (- (* z z) t))
7.2b	(cbrt (- (* z z) t))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
12×	`cbrt-prod` `add-cbrt-cube`
10×	`add-sqr-sqrt` `associate-*r/`
9×	`flip3--` `flip--`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `difference-of-squares`
2×	`associate-*l/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

18.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
4.0ms	(cbrt (- (* z z) t))
4.0ms	(cbrt (- (* z z) t))
4.0ms	(cbrt (- (* z z) t))

series365.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
90.0ms	(cbrt (- (* z z) t))
92.0ms	(cbrt (- (* z z) t))
91.0ms	(cbrt (- (* z z) t))

simplify118.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	315	709
1	1057	625
2	4510	613
3	5001	613

prune239.0ms

Filtered

84 candidates to 66 candidates (78.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	84	8	92

Merged error: 2.7b

Counts

92 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.9b	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
0.9b	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
6.7b	(* (* y 4.0) (- (* z z) t))
6.7b	(* (* y 4.0) (- (* z z) t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
14×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `sqrt-div` `associate-*r/` `flip--` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `*-commutative` `difference-of-squares`

Counts

4 → 80

Calls

4 calls:

3.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
3.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
8.0ms	(* (* y 4.0) (- (* z z) t))
11.0ms	(* (* y 4.0) (- (* z z) t))

series398.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
136.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
64.0ms	(* (* y 4.0) (- (* z z) t))
62.0ms	(* (* y 4.0) (- (* z z) t))

simplify48.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	270	654
1	1170	602
2	5002	598

prune201.0ms

Filtered

92 candidates to 62 candidates (67.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	92	8	100

Merged error: 2.7b

Counts

100 → 8

regimes454.0ms

Accuracy

84% (0.5b remaining)

Error of 3.2b against oracle of 2.6b and baseline of 6.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms

sample888.0ms

Algorithm

intervals

Results

483.0ms

15788×

body

valid