Details

analyze6.2s

Algorithm

sampling

Space saved by range analysis: 0.48721%

Space saved by search: 0.48721%

Guaranteed chance to sample good point: 0%

sample90.0ms

Algorithm

intervals

Results

28.0ms	256×	body	80	valid
21.0ms	244×	body	80	invalid

simplify154.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune20.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 4.2b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
2.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.5b	(* (* (* x 18.0) y) z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (* x 18.0) y)
5.0ms	(* (* j 27.0) k)
9.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

series42.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* x 18.0) y)
4.0ms	(* (* j 27.0) k)
28.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	406	472
1	2141	393
2	5001	393

prune179.0ms

Filtered

53 candidates to 93 candidates (-75.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	85	8	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	8	94

Merged error: 1.5b

Counts

94 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* (* x 18.0) y)
2.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.5b	(* (* (* x 18.0) y) z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* j (* 27.0 k))
5.0ms	(* (* x 18.0) y)
9.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

series40.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* j (* 27.0 k))
3.0ms	(* (* x 18.0) y)
26.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	398	471
1	2030	392
2	5001	392

prune153.0ms

Filtered

53 candidates to 93 candidates (-75.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	93	8	101

Merged error: 1.5b

Counts

101 → 8

localize32.0ms

Local error

Found 4 expressions with local error:

4.5b	(* (* (* x 18.0) y) z)
9.3b	(cbrt (* (* j 27.0) k))
9.3b	(cbrt (* (* j 27.0) k))
9.3b	(cbrt (* (* j 27.0) k))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 48

Calls

4 calls:

7.0ms	(* (* (* x 18.0) y) z)
4.0ms	(cbrt (* (* j 27.0) k))
4.0ms	(cbrt (* (* j 27.0) k))
4.0ms	(cbrt (* (* j 27.0) k))

series59.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* (* x 18.0) y) z)
18.0ms	(cbrt (* (* j 27.0) k))
17.0ms	(cbrt (* (* j 27.0) k))
17.0ms	(cbrt (* (* j 27.0) k))

simplify37.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	235	335
1	1003	286
2	5001	262

prune170.0ms

Filtered

44 candidates to 60 candidates (-36.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	60	8	68

Merged error: 1.5b

Counts

68 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

3.2b	(cbrt (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.5b	(* (* (* x 18.0) y) z)
4.5b	(* (* (* x 18.0) y) z)
4.5b	(* (* (* x 18.0) y) z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `associate-l` `*-commutative`
2×	`cbrt-div`
1×	`flip3--` `pow1/3` `flip--`

Counts

4 → 76

Calls

4 calls:

6.0ms	(cbrt (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)
7.0ms	(* (* (* x 18.0) y) z)
7.0ms	(* (* (* x 18.0) y) z)

series69.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(cbrt (- (* (* (* x 18.0) y) z) (* a 4.0)))
10.0ms	(* (* (* x 18.0) y) z)
6.0ms	(* (* (* x 18.0) y) z)
7.0ms	(* (* (* x 18.0) y) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	293	505
1	1284	429
2	5001	424

prune178.0ms

Filtered

56 candidates to 88 candidates (-57.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	87	9	96

Merged error: 1.5b

Counts

96 → 9

Details

analyze6.2s

sample90.0ms

simplify154.0ms

prune20.0ms

localize22.0ms

rewrite27.0ms

series42.0ms

simplify62.0ms

prune179.0ms

localize27.0ms

rewrite27.0ms

series40.0ms

simplify63.0ms

prune153.0ms

localize32.0ms

rewrite20.0ms

series59.0ms

simplify37.0ms

prune170.0ms

localize27.0ms

rewrite29.0ms

series69.0ms

simplify49.0ms

prune178.0ms

regimes2.6s

bsearch3.0ms

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