Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

312×

body

valid

simplify183.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	832	3
11	1212	3
12	1786	3
13	3407	3
14	5002	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))

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:

3.0ms	(+ x (* y (- z x)))
8.0ms	(* y (- z x))

series77.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (* y (- z x)))
48.0ms	(* y (- z x))

simplify86.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	172	180
1	731	165
2	3520	165
3	5001	165

prune74.0ms

Filtered

47 candidates to 29 candidates (61.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	3	48

Merged error: 0b

Counts

48 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

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

series61.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ x (+ (* y z) (* y (- x))))
33.0ms	(+ (* y z) (* y (- x)))

simplify106.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	181	209
1	786	168
2	3584	162
3	5001	162

prune64.0ms

Filtered

36 candidates to 25 candidates (69.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	36	3	39

Merged error: 0b

Counts

39 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (+ (* y z) (* y (- x))))) (cbrt (+ x (+ (* y z) (* y (- x))))))
0.6b	(cbrt (+ x (+ (* y z) (* y (- x)))))
0.6b	(cbrt (+ x (+ (* y z) (* y (- x)))))
0.6b	(cbrt (+ x (+ (* y z) (* y (- x)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 95

Calls

4 calls:

13.0ms	(* (cbrt (+ x (+ (* y z) (* y (- x))))) (cbrt (+ x (+ (* y z) (* y (- x))))))
4.0ms	(cbrt (+ x (+ (* y z) (* y (- x)))))
4.0ms	(cbrt (+ x (+ (* y z) (* y (- x)))))
5.0ms	(cbrt (+ x (+ (* y z) (* y (- x)))))

series950.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(* (cbrt (+ x (+ (* y z) (* y (- x))))) (cbrt (+ x (+ (* y z) (* y (- x))))))
228.0ms	(cbrt (+ x (+ (* y z) (* y (- x)))))
244.0ms	(cbrt (+ x (+ (* y z) (* y (- x)))))
243.0ms	(cbrt (+ x (+ (* y z) (* y (- x)))))

simplify47.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	340	1697
1	1192	1599
2	5001	1457

prune254.0ms

Filtered

107 candidates to 78 candidates (72.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	107	3	110

Merged error: 0b

Counts

110 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

4.0ms	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
8.0ms	(* (sqrt y) (- z x))
9.0ms	(* (sqrt y) (* (sqrt y) (- z x)))

series164.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
74.0ms	(* (sqrt y) (- z x))
43.0ms	(* (sqrt y) (* (sqrt y) (- z x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	337	476
1	1436	396
2	5002	388

prune142.0ms

Filtered

89 candidates to 55 candidates (61.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	89	3	92

Merged error: 0b

Counts

92 → 3

regimes48.0ms

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	14	5
1	18	5
2	19	5
3	19	5

end0.0ms

sample397.0ms

Algorithm

intervals

Results

195.0ms

10127×

body

valid