Details

sample26.0ms

Algorithm

intervals

Results

13.0ms

397×

body

valid

simplify82.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	80	4
3	254	4
4	641	4
5	1066	4
6	2373	4
7	3914	4
8	5001	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 (* (- y z) (- t x)))
0.0b	(* (- y z) (- t x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

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

series84.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ x (* (- y z) (- t x)))
33.0ms	(* (- y z) (- t x))

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	290	310
1	1174	292
2	5001	291

prune102.0ms

Filtered

55 candidates to 40 candidates (72.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	5	56

Merged error: 0b

Counts

56 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`associate-r`
12×	`associate-*l/`
11×	`add-log-exp`
10×	`add-cube-cbrt` `associate-l`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--`
5×	`distribute-rgt-neg-out`
4×	`frac-add` `sum-log`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`+-commutative` `associate-+r-` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`neg-mul-1` `associate-+r+`

Counts

4 → 86

Calls

4 calls:

7.0ms	(+ (* (- y z) t) (* (- y z) (- x)))
6.0ms	(* (- y z) t)
8.0ms	(* (- y z) (- x))
8.0ms	(+ x (+ (* (- y z) t) (* (- y z) (- x))))

series146.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* (- y z) t) (* (- y z) (- x)))
26.0ms	(* (- y z) t)
25.0ms	(* (- y z) (- x))
54.0ms	(+ x (+ (* (- y z) t) (* (- y z) (- x))))

simplify62.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	464	589
1	2084	523
2	5002	518

prune180.0ms

Filtered

98 candidates to 77 candidates (78.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Merged error: 0b

Counts

103 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (- (+ z 1) y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 29

Calls

1 calls:

9.0ms

(* x (- (+ z 1) y))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* x (- (+ z 1) y))

simplify67.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	133	141
1	589	124
2	3065	124
3	5002	124

prune37.0ms

Filtered

32 candidates to 18 candidates (56.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	32	5	37

Merged error: 0b

Counts

37 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- t x))
0.0b	(sqrt (- t x))
0.1b	(* (- y z) (sqrt (- t x)))
0.2b	(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3--` `flip--`
32×	`frac-times`
27×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `sqrt-prod`
16×	`associate-r` `associate-*l/`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
6×	`associate-l`
5×	`distribute-lft-out--` `difference-of-squares`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

3.0ms	(sqrt (- t x))
3.0ms	(sqrt (- t x))
10.0ms	(* (- y z) (sqrt (- t x)))
19.0ms	(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(sqrt (- t x))
67.0ms	(sqrt (- t x))
83.0ms	(* (- y z) (sqrt (- t x)))
33.0ms	(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

simplify56.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	466	1059
1	1699	941
2	5003	929

prune284.0ms

Filtered

129 candidates to 90 candidates (69.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	129	5	134

Merged error: 0b

Counts

134 → 5

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	20	7
2	21	7
3	21	7

end0.0ms

sample672.0ms

Algorithm

intervals

Results

363.0ms

12241×

body

valid