Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

394×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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))

series90.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ x (* (- y z) (- t x)))
35.0ms	(* (- y z) (- t x))

simplify39.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (34.0ms)

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

prune114.0ms

Filtered

55 candidates to 40 candidates (72.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0.0b

Counts

56 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

42×	`sqrt-div`
33×	`flip3--` `flip--`
32×	`frac-times`
18×	`add-sqr-sqrt`
16×	`associate-r` `associate-*l/`
14×	`*-un-lft-identity`
11×	`sqrt-prod`
10×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`associate-l`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 94

Calls

3 calls:

3.0ms	(+ x (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
11.0ms	(* (- y z) (sqrt (- t x)))
15.0ms	(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ x (* (* (- y z) (sqrt (- t x))) (sqrt (- t x))))
87.0ms	(* (- y z) (sqrt (- t x)))
36.0ms	(* (* (- y z) (sqrt (- t x))) (sqrt (- t x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	476	1018
1	1752	896
2	5002	888

prune244.0ms

Filtered

103 candidates to 71 candidates (68.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	102	5	107

Merged error: 0b

Counts

107 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
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 → 41

Calls

2 calls:

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

series72.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(* z (- x t))
32.0ms	(+ (* t y) (* z (- x t)))

simplify115.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	194	200
1	851	184
2	4139	184
3	5001	184

prune70.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	47	5	52

Merged error: 0b

Counts

52 → 5

localize6.0ms

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))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify69.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (5.0ms)

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

prune41.0ms

Filtered

32 candidates to 18 candidates (56.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	32	5	37

Merged error: 0b

Counts

37 → 5

regimes139.0ms

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	10	4
1	10	4

end0.0ms

sample592.0ms

Algorithm

intervals

Results

294.0ms

12247×

body

valid