Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

327×

body

valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(+ (* x y) (* (- x 1.0) z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (- x 1.0) z)
4.0ms	(+ (* x y) (* (- x 1.0) z))

series63.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- x 1.0) z)
34.0ms	(+ (* x y) (* (- x 1.0) z))

simplify97.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	187	183
1	775	166
2	4041	166
3	5001	166

prune60.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

10.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
3.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

series695.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
157.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
158.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
178.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	317	1282
1	1036	1201
2	5001	1093

prune228.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0.0b

Counts

102 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(+ (* x y) (* (- x 1.0) z))
0.2b	(pow (+ (* x y) (* (- x 1.0) z)) 3)
34.0b	(cbrt (pow (+ (* x y) (* (- x 1.0) z)) 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`cbrt-prod` `add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
5×	`associate-l`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `associate-r` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `associate-*l/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (- x 1.0) z)
4.0ms	(+ (* x y) (* (- x 1.0) z))
4.0ms	(pow (+ (* x y) (* (- x 1.0) z)) 3)
5.0ms	(cbrt (pow (+ (* x y) (* (- x 1.0) z)) 3))

series183.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (- x 1.0) z)
29.0ms	(+ (* x y) (* (- x 1.0) z))
90.0ms	(pow (+ (* x y) (* (- x 1.0) z)) 3)
30.0ms	(cbrt (pow (+ (* x y) (* (- x 1.0) z)) 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	329	623
1	1614	585
2	5001	579

prune153.0ms

Filtered

93 candidates to 56 candidates (60.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	93	4	97

Merged error: 0.0b

Counts

97 → 4

localize34.0ms

Local error

Found 4 expressions with local error:

25.3b	(cbrt (+ (* (* x y) (* x y)) (- (* (* (- x 1.0) z) (* (- x 1.0) z)) (* (* x y) (* (- x 1.0) z)))))
25.3b	(cbrt (+ (* (* x y) (* x y)) (- (* (* (- x 1.0) z) (* (- x 1.0) z)) (* (* x y) (* (- x 1.0) z)))))
34.0b	(cbrt (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)))
34.0b	(cbrt (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
12×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`
2×	`sum-cubes` `distribute-lft-out`

Counts

4 → 56

Calls

4 calls:

14.0ms	(cbrt (+ (* (* x y) (* x y)) (- (* (* (- x 1.0) z) (* (- x 1.0) z)) (* (* x y) (* (- x 1.0) z)))))
14.0ms	(cbrt (+ (* (* x y) (* x y)) (- (* (* (- x 1.0) z) (* (- x 1.0) z)) (* (* x y) (* (- x 1.0) z)))))
7.0ms	(cbrt (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)))
7.0ms	(cbrt (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)))

series1.3s

Counts

4 → 12

Calls

4 calls:

316.0ms	(cbrt (+ (* (* x y) (* x y)) (- (* (* (- x 1.0) z) (* (- x 1.0) z)) (* (* x y) (* (- x 1.0) z)))))
322.0ms	(cbrt (+ (* (* x y) (* x y)) (- (* (* (- x 1.0) z) (* (- x 1.0) z)) (* (* x y) (* (- x 1.0) z)))))
322.0ms	(cbrt (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)))
327.0ms	(cbrt (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)))

simplify53.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	324	1276
1	1108	1176
2	5001	1118

prune385.0ms

Filtered

68 candidates to 64 candidates (94.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample672.0ms

Algorithm

intervals

Results

470.0ms

10128×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	51	4
4	58	4
5	64	4
6	81	4
7	112	4
8	159	4
9	273	4
10	370	4
11	428	4
12	450	4
13	465	4
14	465	4