Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

523×

body

valid

simplify72.0ms

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: 6.6b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.2b	(* (* y 4.0) (- (* z z) t))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

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

series156.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (* z z) t)
76.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
59.0ms	(* (* y 4.0) (- (* z z) t))

simplify49.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	292	385
1	1348	342
2	5001	337

prune121.0ms

Filtered

63 candidates to 41 candidates (65.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	58	5	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	5	64

Merged error: 3.2b

Counts

64 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
0.0b	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
9.6b	(* (* y 4.0) (* z z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `distribute-rgt-neg-out`
3×	`add-cube-cbrt` `*-un-lft-identity`
2×	`diff-log` `unsub-neg` `sum-log` `associate--r-`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-r` `associate-l` `*-commutative` `flip--` `flip-+` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

3 → 53

Calls

3 calls:

8.0ms	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
9.0ms	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
7.0ms	(* (* y 4.0) (* z z))

series191.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t)))
81.0ms	(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (- t))))
30.0ms	(* (* y 4.0) (* z z))

simplify56.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	314	491
1	1440	398
2	5001	390

prune109.0ms

Filtered

62 candidates to 38 candidates (61.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	64	3	67

Merged error: 0.0b

Counts

67 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
0.0b	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t)))
0.2b	(* (* (* y 4.0) z) z)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

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

series189.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t))))
78.0ms	(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (- t)))
30.0ms	(* (* (* y 4.0) z) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	323	488
1	1585	427
2	5001	382

prune114.0ms

Filtered

60 candidates to 39 candidates (65.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	59	4	63

Merged error: 0.0b

Counts

63 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
18.7b	(cbrt (* (* (* y 4.0) z) z))
18.7b	(cbrt (* (* (* y 4.0) z) z))
18.7b	(cbrt (* (* (* y 4.0) z) z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

7.0ms	(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
5.0ms	(cbrt (* (* (* y 4.0) z) z))
5.0ms	(cbrt (* (* (* y 4.0) z) z))
5.0ms	(cbrt (* (* (* y 4.0) z) z))

series498.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (* (* (* y 4.0) z) z)) (cbrt (* (* (* y 4.0) z) z)))
112.0ms	(cbrt (* (* (* y 4.0) z) z))
112.0ms	(cbrt (* (* (* y 4.0) z) z))
117.0ms	(cbrt (* (* (* y 4.0) z) z))

simplify107.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	220	537
1	708	472
2	3288	393
3	5001	387

prune202.0ms

Filtered

70 candidates to 56 candidates (80.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	68	6	74

Merged error: 0b

Counts

74 → 6

regimes248.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	9
1	24	9
2	31	9
3	31	9

end0.0ms

sample864.0ms

Algorithm

intervals

Results

484.0ms

15635×

body

valid