Details

sample26.0ms

Algorithm

intervals

Results

7.0ms

324×

body

valid

simplify77.0ms

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

prune3.0ms

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

6.0ms	(* y (- z x))
5.0ms	(+ x (* y (- z x)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* y (- z x))
35.0ms	(+ x (* y (- z x)))

simplify85.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	172	180
1	731	165
2	3521	165
3	5003	165

prune114.0ms

Filtered

47 candidates to 29 candidates (61.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Merged error: 0.0b

Counts

48 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* 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)))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

5.0ms	(+ x (* y (- z x)))
2.0ms	(sqrt (+ x (* y (- z x))))
2.0ms	(sqrt (+ x (* y (- z x))))
9.0ms	(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))

series441.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ x (* y (- z x)))
192.0ms	(sqrt (+ x (* y (- z x))))
194.0ms	(sqrt (+ x (* y (- z x))))
28.0ms	(* (sqrt (+ x (* y (- z x)))) (sqrt (+ x (* y (- z x)))))

simplify38.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	233	780
1	945	716
2	5001	696

prune272.0ms

Filtered

114 candidates to 67 candidates (58.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	114	3	117

Merged error: 0.0b

Counts

117 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (cbrt (pow (* y (- z x)) 3)))
0.3b	(pow (* y (- z x)) 3)
33.8b	(cbrt (pow (* y (- z x)) 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

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

series186.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* y (- z x))
46.0ms	(+ x (cbrt (pow (* y (- z x)) 3)))
53.0ms	(pow (* y (- z x)) 3)
53.0ms	(cbrt (pow (* y (- z x)) 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	324	422
1	1584	383
2	5001	382

prune284.0ms

Filtered

93 candidates to 63 candidates (67.7%)

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

regimes181.0ms

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	8	3
1	8	3

end0.0ms

sample531.0ms

Algorithm

intervals

Results

203.0ms

10022×

body

valid

Details

sample26.0ms

simplify77.0ms

prune3.0ms

localize5.0ms

rewrite13.0ms

series73.0ms

simplify85.0ms

prune114.0ms

localize8.0ms

rewrite22.0ms

series441.0ms

simplify38.0ms

prune272.0ms

localize8.0ms

rewrite21.0ms

series186.0ms

simplify47.0ms

prune284.0ms

regimes181.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample531.0ms

Profiling