Details

sample71.0ms

Algorithm

intervals

Results

37.0ms

475×

body

valid

simplify152.0ms

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

prune14.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 4.6b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
2.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
3.7b	(* (* (* x 18.0) y) z)

rewrite28.0ms

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)

series185.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
121.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
27.0ms	(* (* (* x 18.0) y) z)

simplify69.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (13.0ms)

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

prune318.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	84	9	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	9	94

Merged error: 1.6b

Counts

94 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* x 4.0) i) (* (* j 27.0) k))
0.2b	(* (* j 27.0) k)
2.6b	(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
3.8b	(* (* x 18.0) (* y z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`add-log-exp`
5×	`associate-l`
3×	`*-commutative`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

5.0ms	(+ (* (* x 4.0) i) (* (* j 27.0) k))
5.0ms	(* (* j 27.0) k)
9.0ms	(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
6.0ms	(* (* x 18.0) (* y z))

series216.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (* (* x 4.0) i) (* (* j 27.0) k))
17.0ms	(* (* j 27.0) k)
113.0ms	(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
29.0ms	(* (* x 18.0) (* y z))

simplify65.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	456	517
1	2097	440
2	5001	440

prune269.0ms

Filtered

87 candidates to 50 candidates (57.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	88	8	96

Merged error: 1.6b

Counts

96 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 27.0 (* k j)) (* 4.0 (* i x)))
0.2b	(* 27.0 (* k j))
2.6b	(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
3.8b	(* (* x 18.0) (* y z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`add-log-exp`
5×	`associate-r`
3×	`*-commutative`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

5.0ms	(+ (* 27.0 (* k j)) (* 4.0 (* i x)))
5.0ms	(* 27.0 (* k j))
9.0ms	(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
6.0ms	(* (* x 18.0) (* y z))

series445.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (* 27.0 (* k j)) (* 4.0 (* i x)))
30.0ms	(* 27.0 (* k j))
325.0ms	(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
29.0ms	(* (* x 18.0) (* y z))

simplify75.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	441	516
1	2024	439
2	5002	439

prune269.0ms

Filtered

87 candidates to 51 candidates (58.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	88	7	95

Merged error: 1.6b

Counts

95 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* (* j 27.0) k)
2.6b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
3.7b	(* (* x (* 18.0 y)) z)

rewrite28.0ms

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	(* 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)

series180.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (* 18.0 y))
18.0ms	(* (* j 27.0) k)
113.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
30.0ms	(* (* x (* 18.0 y)) z)

simplify65.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	404	472
1	1945	393
2	5002	393

prune238.0ms

Filtered

93 candidates to 51 candidates (54.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	93	7	100

Merged error: 1.6b

Counts

100 → 7

Details

sample71.0ms

simplify152.0ms

prune14.0ms

localize21.0ms

rewrite28.0ms

series185.0ms

simplify69.0ms

prune318.0ms

localize21.0ms

rewrite27.0ms

series216.0ms

simplify65.0ms

prune269.0ms

localize20.0ms

rewrite26.0ms

series445.0ms

simplify75.0ms

prune269.0ms

localize21.0ms

rewrite28.0ms

series180.0ms

simplify65.0ms

prune238.0ms

regimes732.0ms

bsearch6.0ms

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