Details

sample26.0ms

Algorithm

intervals

Results

10.0ms

334×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	134	9
1	134	9

prune3.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.0b	(+ (* x y) (* (- 1.0 x) z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
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 → 33

Calls

2 calls:

7.0ms	(* (- 1.0 x) z)
4.0ms	(+ (* x y) (* (- 1.0 x) z))

series14.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (- 1.0 x) z)
9.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify21.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5076	345

prune51.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 x))
0.0b	(+ (* x y) (* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x)))))
0.0b	(* z (sqrt (- 1.0 x)))
0.0b	(* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

4.0ms	(sqrt (- 1.0 x))
4.0ms	(+ (* x y) (* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x)))))
8.0ms	(* z (sqrt (- 1.0 x)))
13.0ms	(* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x))))

series30.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (- 1.0 x))
9.0ms	(+ (* x y) (* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x)))))
12.0ms	(* z (sqrt (- 1.0 x)))
5.0ms	(* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x))))

simplify32.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5114	1021

prune146.0ms

Filtered

70 candidates to 97 candidates (-38.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	97	3	100

Merged error: 0.0b

Counts

100 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.0b	(+ (* x y) (* (- 1.0 x) z))
0.2b	(pow (+ (* x y) (* (- 1.0 x) z)) 3)
37.8b	(cbrt (pow (+ (* x y) (* (- 1.0 x) z)) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`cbrt-prod` `add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
5×	`associate-l`
4×	`cube-div`
3×	`pow-unpow` `flip3-+` `associate-r` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `associate-*l/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

7.0ms	(* (- 1.0 x) z)
5.0ms	(+ (* x y) (* (- 1.0 x) z))
5.0ms	(pow (+ (* x y) (* (- 1.0 x) z)) 3)
6.0ms	(cbrt (pow (+ (* x y) (* (- 1.0 x) z)) 3))

series54.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (- 1.0 x) z)
8.0ms	(+ (* x y) (* (- 1.0 x) z))
29.0ms	(pow (+ (* x y) (* (- 1.0 x) z)) 3)
11.0ms	(cbrt (pow (+ (* x y) (* (- 1.0 x) z)) 3))

simplify23.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5618	1146

prune105.0ms

Filtered

54 candidates to 93 candidates (-72.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0.0b

Counts

96 → 3

regimes185.0ms

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

sample706.0ms

Algorithm

intervals

Results

311.0ms

10234×

body

valid

Details

sample26.0ms

simplify5.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series14.0ms

simplify21.0ms

prune51.0ms

localize9.0ms

rewrite32.0ms

series30.0ms

simplify32.0ms

prune146.0ms

localize10.0ms

rewrite25.0ms

series54.0ms

simplify23.0ms

prune105.0ms

regimes185.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample706.0ms

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