Details

sample52.0ms

Algorithm

intervals

Results

11.0ms	323×	body	80	valid
11.0ms	314×	body	80	nan

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	21	5
2	36	5
3	62	5
4	133	5
5	211	5
6	397	5
7	1798	5
8	5001	5

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: 25.0b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (sqrt (- (* y y) (* z z))))
2.0b	(- (* y y) (* z z))
24.5b	(sqrt (- (* y y) (* z z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`pow1`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`sqrt-div`
3×	`flip3--` `associate-l` `flip--` `difference-of-squares`
2×	`associate-*r/` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 54

Calls

3 calls:

7.0ms	(* x (sqrt (- (* y y) (* z z))))
4.0ms	(- (* y y) (* z z))
3.0ms	(sqrt (- (* y y) (* z z)))

series30.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* x (sqrt (- (* y y) (* z z))))
5.0ms	(- (* y y) (* z z))
7.0ms	(sqrt (- (* y y) (* z z)))

simplify76.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	188	364
1	742	340
2	3019	337
3	5001	337

prune78.0ms

Filtered

46 candidates to 63 candidates (-37.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	58	5	63
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	5	64

Merged error: 0.0b

Counts

64 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (sqrt (* (+ y z) (- y z))))
24.5b	(sqrt (* (+ y z) (- y z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`sqrt-div`
12×	`associate-*r/`
8×	`frac-times`
7×	`pow1`
6×	`add-sqr-sqrt` `flip3--` `flip3-+` `flip--` `flip-+`
4×	`add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l/` `add-cbrt-cube`
3×	`associate-l`
2×	`sqrt-pow1` `pow-prod-down` `sqrt-prod` `add-log-exp`
1×	`pow1/2` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

10.0ms	(* x (sqrt (* (+ y z) (- y z))))
6.0ms	(sqrt (* (+ y z) (- y z)))

series25.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* x (sqrt (* (+ y z) (- y z))))
8.0ms	(sqrt (* (+ y z) (- y z)))

simplify82.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	204	344
1	891	331
2	3716	329
3	5001	329

prune68.0ms

Filtered

41 candidates to 52 candidates (-26.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	52	5	57

Merged error: 0.0b

Counts

57 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (sqrt (sqrt (* (+ y z) (- y z)))))
0.3b	(* (* x (sqrt (sqrt (* (+ y z) (- y z))))) (sqrt (sqrt (* (+ y z) (- y z)))))
24.5b	(sqrt (* (+ y z) (- y z)))
24.5b	(sqrt (* (+ y z) (- y z)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

320×	`sqrt-div`
148×	`frac-times`
130×	`associate-*r/`
63×	`flip3--` `flip3-+` `flip--` `flip-+`
50×	`associate-*l/`
17×	`pow1`
14×	`associate-r`
13×	`add-sqr-sqrt` `sqrt-prod`
11×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down`
4×	`sqrt-pow1` `associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 171

Calls

4 calls:

12.0ms	(* x (sqrt (sqrt (* (+ y z) (- y z)))))
23.0ms	(* (* x (sqrt (sqrt (* (+ y z) (- y z))))) (sqrt (sqrt (* (+ y z) (- y z)))))
8.0ms	(sqrt (* (+ y z) (- y z)))
7.0ms	(sqrt (* (+ y z) (- y z)))

series65.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* x (sqrt (sqrt (* (+ y z) (- y z)))))
21.0ms	(* (* x (sqrt (sqrt (* (+ y z) (- y z))))) (sqrt (sqrt (* (+ y z) (- y z)))))
8.0ms	(sqrt (* (+ y z) (- y z)))
8.0ms	(sqrt (* (+ y z) (- y z)))

simplify77.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	756	3145
1	2799	2971
2	5001	2967

prune209.0ms

Filtered

126 candidates to 183 candidates (-45.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	183	5	188

Merged error: 0.0b

Counts

188 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

2.0b	(- (* y y) (* z z))
2.0b	(- (* y y) (* z z))
25.3b	(cbrt (- (* y y) (* z z)))
25.3b	(cbrt (- (* y y) (* z z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod` `add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `cbrt-div` `flip3--` `add-cbrt-cube` `flip--` `difference-of-squares`
2×	`sub-neg` `pow1/3` `diff-log`

Counts

4 → 54

Calls

4 calls:

3.0ms	(- (* y y) (* z z))
4.0ms	(- (* y y) (* z z))
3.0ms	(cbrt (- (* y y) (* z z)))
3.0ms	(cbrt (- (* y y) (* z z)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* y y) (* z z))
5.0ms	(- (* y y) (* z z))
23.0ms	(cbrt (- (* y y) (* z z)))
21.0ms	(cbrt (- (* y y) (* z z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	179	454
1	584	414
2	1910	402
3	5002	386

prune78.0ms

Filtered

52 candidates to 66 candidates (-26.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	66	5	71

Merged error: 0.0b

Counts

71 → 5

Details

sample52.0ms

simplify78.0ms

prune3.0ms

localize11.0ms

rewrite15.0ms

series30.0ms

simplify76.0ms

prune78.0ms

localize10.0ms

rewrite18.0ms

series25.0ms

simplify82.0ms

prune68.0ms

localize9.0ms

rewrite65.0ms

series65.0ms

simplify77.0ms

prune209.0ms

localize11.0ms

rewrite15.0ms

series56.0ms

simplify56.0ms

prune78.0ms

regimes416.0ms

bsearch33.0ms

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