Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

316×

body

valid

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	25	3
2	36	3
3	40	3
4	46	3
5	58	3
6	93	3
7	130	3
8	163	3
9	273	3
10	507	3
11	1618	3
12	5001	3

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ x (* y (+ z x)))
6.0ms	(* y (+ z x))

series54.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (* y (+ z x)))
25.0ms	(* y (+ z x))

simplify95.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	186	164
1	769	149
2	3889	149
3	5003	149

prune57.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`associate-+r+`

Counts

2 → 26

Calls

2 calls:

8.0ms	(+ x (+ (* y z) (* y x)))
6.0ms	(+ (* y z) (* y x))

series73.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ x (+ (* y z) (* y x)))
43.0ms	(+ (* y z) (* y x))

simplify82.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	171	168
1	679	149
2	2849	147
3	5001	147

prune46.0ms

Filtered

32 candidates to 24 candidates (75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	32	3	35

Merged error: 0b

Counts

35 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
1.8b	(- (* z z) (* x x))
11.4b	(* y (- (* z z) (* x x)))
17.9b	(/ (* y (- (* z z) (* x x))) (- z x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

7.0ms	(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
3.0ms	(- (* z z) (* x x))
6.0ms	(* y (- (* z z) (* x x)))
9.0ms	(/ (* y (- (* z z) (* x x))) (- z x))

series223.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
33.0ms	(- (* z z) (* x x))
60.0ms	(* y (- (* z z) (* x x)))
78.0ms	(/ (* y (- (* z z) (* x x))) (- z x))

simplify57.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	372	639
1	1847	557
2	5002	519

prune151.0ms

Filtered

91 candidates to 63 candidates (69.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	92	2	94

Merged error: 0b

Counts

94 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.9b	(+ (* y (* z z)) (* y (- (* x x))))
8.0b	(* y (- (* x x)))
9.6b	(* y (* z z))
17.9b	(/ (+ (* y (* z z)) (* y (- (* x x)))) (- z x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
20×	`times-frac`
18×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
7×	`associate-r` `distribute-lft-out`
6×	`associate-l` `add-log-exp`
5×	`associate-/r*` `distribute-rgt-neg-out` `distribute-lft-out--` `difference-of-squares`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`flip3-+` `div-sub` `unsub-neg` `associate-/r/` `*-commutative` `flip-+` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `distribute-lft-neg-in` `neg-mul-1` `flip3--` `distribute-rgt-neg-in` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `div-inv`

Counts

4 → 102

Calls

4 calls:

8.0ms	(+ (* y (* z z)) (* y (- (* x x))))
8.0ms	(* y (- (* x x)))
9.0ms	(* y (* z z))
11.0ms	(/ (+ (* y (* z z)) (* y (- (* x x)))) (- z x))

series197.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (* y (* z z)) (* y (- (* x x))))
34.0ms	(* y (- (* x x)))
25.0ms	(* y (* z z))
78.0ms	(/ (+ (* y (* z z)) (* y (- (* x x)))) (- z x))

simplify73.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	392	910
1	2043	801
2	5002	751

prune200.0ms

Filtered

114 candidates to 83 candidates (72.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	114	2	116

Merged error: 0b

Counts

116 → 2

regimes41.0ms

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

sample414.0ms

Algorithm

intervals

Results

223.0ms

10129×

body

valid