Details

sample21.0ms

Algorithm

intervals

Results

7.0ms

336×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	51	7
1	51	7

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	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))

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ x (* y (+ z x)))
6.0ms	(* y (+ z x))

simplify54.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4950	318
1	4950	318

prune50.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	4	43

Merged error: 0b

Counts

43 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:

5.0ms	(+ x (+ (* y z) (* y x)))
4.0ms	(+ (* y z) (* y x))

series16.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ x (+ (* y z) (* y x)))
9.0ms	(+ (* y z) (* y x))

simplify45.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5072	279

prune34.0ms

Filtered

21 candidates to 32 candidates (-52.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0b

Counts

36 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
2.6b	(- (* z z) (* x x))
8.4b	(* y (- (* z z) (* x x)))
19.7b	(/ (* y (- (* z z) (* x x))) (- z x))

rewrite31.0ms

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)))
5.0ms	(- (* z z) (* x x))
6.0ms	(* y (- (* z z) (* x x)))
10.0ms	(/ (* y (- (* z z) (* x x))) (- z x))

series59.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ x (/ (* y (- (* z z) (* x x))) (- z x)))
6.0ms	(- (* z z) (* x x))
16.0ms	(* y (- (* z z) (* x x)))
22.0ms	(/ (* y (- (* z z) (* x x))) (- z x))

simplify27.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5370	953

prune100.0ms

Filtered

62 candidates to 91 candidates (-46.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	91	4	95

Merged error: 0b

Counts

95 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (cbrt (pow (* y (+ z x)) 3)))
0.0b	(* y (+ z x))
0.2b	(pow (* y (+ z x)) 3)
34.1b	(cbrt (pow (* y (+ z x)) 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `flip-+`
3×	`pow-unpow` `associate-l`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

5.0ms	(+ x (cbrt (pow (* y (+ z x)) 3)))
6.0ms	(* y (+ z x))
6.0ms	(pow (* y (+ z x)) 3)
2.0ms	(cbrt (pow (* y (+ z x)) 3))

series31.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ x (cbrt (pow (* y (+ z x)) 3)))
6.0ms	(* y (+ z x))
12.0ms	(pow (* y (+ z x)) 3)
6.0ms	(cbrt (pow (* y (+ z x)) 3))

simplify24.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5073	725

prune90.0ms

Filtered

58 candidates to 90 candidates (-55.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	90	4	94

Merged error: 0b

Counts

94 → 4

regimes141.0ms

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	9
1	11	9

end0.0ms

sample555.0ms

Algorithm

intervals

Results

224.0ms

10198×

body

valid

Details

sample21.0ms

simplify4.0ms

prune5.0ms

localize5.0ms

rewrite10.0ms

series13.0ms

simplify54.0ms

prune50.0ms

localize6.0ms

rewrite10.0ms

series16.0ms

simplify45.0ms

prune34.0ms

localize9.0ms

rewrite31.0ms

series59.0ms

simplify27.0ms

prune100.0ms

localize9.0ms

rewrite21.0ms

series31.0ms

simplify24.0ms

prune90.0ms

regimes141.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample555.0ms

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