Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

319×

body

valid

simplify78.0ms

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	750	3
11	1136	3
12	1818	3
13	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))

rewrite16.0ms

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)))
11.0ms	(* y (- z x))

series69.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (* y (- z x)))
41.0ms	(* y (- z x))

simplify88.0ms

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

prune65.0ms

Filtered

47 candidates to 29 candidates (61.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Merged error: 0.0b

Counts

48 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (+ (* y z) (* y (neg x))))
0.0b	(+ (* y z) (* y (neg 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 (neg x))))
4.0ms	(+ (* y z) (* y (neg x)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (+ (* y z) (* y (neg x))))
32.0ms	(+ (* y z) (* y (neg x)))

simplify114.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (24.0ms)

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

prune53.0ms

Filtered

36 candidates to 24 candidates (66.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
2.4b	(- (* z z) (* x x))
11.9b	(* y (- (* z z) (* x x)))
18.2b	(/ (* y (- (* z z) (* x x))) (+ z x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

6.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
3.0ms	(- (* z z) (* x x))
8.0ms	(* y (- (* z z) (* x x)))
9.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

series214.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
32.0ms	(- (* z z) (* x x))
65.0ms	(* y (- (* z z) (* x x)))
69.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

simplify52.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	367	620
1	1808	538
2	5001	507

prune135.0ms

Filtered

89 candidates to 59 candidates (66.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	89	4	93

Merged error: 0.0b

Counts

93 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z x))
0.0b	(sqrt (+ x (* y (- z x))))
0.0b	(sqrt (+ x (* y (- z x))))
0.3b	(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt` `sqrt-div`
11×	`associate-r`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-l`
8×	`add-exp-log` `flip3-+` `swap-sqr` `add-cbrt-cube` `flip-+`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `associate-*r/` `pow-prod-down` `add-log-exp`
3×	`pow-sqr`
2×	`distribute-rgt-in` `sub-neg` `rem-sqrt-square` `distribute-lft-in` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `flip3--` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

6.0ms	(* y (- z x))
2.0ms	(sqrt (+ x (* y (- z x))))
2.0ms	(sqrt (+ x (* y (- z x))))
11.0ms	(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))

series322.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* y (- z x))
125.0ms	(sqrt (+ x (* y (- z x))))
132.0ms	(sqrt (+ x (* y (- z x))))
28.0ms	(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))

simplify49.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	286	810
1	1284	722
2	5002	701

prune180.0ms

Filtered

125 candidates to 70 candidates (56.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	125	4	129

Merged error: 0.0b

Counts

129 → 4

regimes85.0ms

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

sample414.0ms

Algorithm

intervals

Results

218.0ms

10155×

body

valid

Details

sample16.0ms

simplify78.0ms

prune2.0ms

localize5.0ms

rewrite16.0ms

series69.0ms

simplify88.0ms

prune65.0ms

localize10.0ms

rewrite9.0ms

series61.0ms

simplify114.0ms

prune53.0ms

localize10.0ms

rewrite29.0ms

series214.0ms

simplify52.0ms

prune135.0ms

localize7.0ms

rewrite25.0ms

series322.0ms

simplify49.0ms

prune180.0ms

regimes85.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample414.0ms

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