Details

sample84.0ms

Algorithm

intervals

Results

48.0ms

615×

body

valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune4.0ms

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: 12.8b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* y z) (* t a))
5.0b	(* b (- (* c z) (* t i)))
5.5b	(* j (- (* c a) (* y i)))
7.2b	(* x (- (* y z) (* t a)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

3.0ms	(- (* y z) (* t a))
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* x (- (* y z) (* t a)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* y z) (* t a))
68.0ms	(* b (- (* c z) (* t i)))
65.0ms	(* j (- (* c a) (* y i)))
66.0ms	(* x (- (* y z) (* t a)))

simplify58.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	423	552
1	1763	485
2	5002	485

prune378.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	75	21	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	21	97

Merged error: 8.8b

Counts

97 → 21

localize22.0ms

Local error

Found 4 expressions with local error:

5.0b	(* b (- (* c z) (* t i)))
5.5b	(* j (- (* c a) (* y i)))
7.0b	(* x (* y z))
7.0b	(* x (neg (* t a)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))
5.0ms	(* x (* y z))
5.0ms	(* x (neg (* t a)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* b (- (* c z) (* t i)))
65.0ms	(* j (- (* c a) (* y i)))
23.0ms	(* x (* y z))
30.0ms	(* x (neg (* t a)))

simplify62.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	442	484
1	2052	419
2	5002	419

prune398.0ms

Filtered

100 candidates to 70 candidates (70.0%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	4	16	20
Picked	1	0	1
Done	0	0	0
Total	102	19	121

Merged error: 5.5b

Counts

121 → 19

localize26.0ms

Local error

Found 4 expressions with local error:

3.5b	(* (* x y) z)
5.0b	(* b (- (* c z) (* t i)))
5.5b	(* j (- (* c a) (* y i)))
7.0b	(* x (neg (* t a)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 88

Calls

4 calls:

5.0ms	(* (* x y) z)
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))
5.0ms	(* x (neg (* t a)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x y) z)
64.0ms	(* b (- (* c z) (* t i)))
63.0ms	(* j (- (* c a) (* y i)))
27.0ms	(* x (neg (* t a)))

simplify60.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	452	485
1	2211	420
2	5002	420

prune359.0ms

Filtered

100 candidates to 69 candidates (69.0%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	3	15	18
Picked	1	0	1
Done	0	0	0
Total	101	18	119

Merged error: 5.0b

Counts

119 → 18

localize21.0ms

Local error

Found 4 expressions with local error:

3.5b	(* (* x y) z)
4.3b	(* (* x (neg t)) a)
5.0b	(* b (- (* c z) (* t i)))
5.5b	(* j (- (* c a) (* y i)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

5.0ms	(* (* x y) z)
7.0ms	(* (* x (neg t)) a)
6.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (- (* c a) (* y i)))

series178.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* x y) z)
26.0ms	(* (* x (neg t)) a)
64.0ms	(* b (- (* c z) (* t i)))
61.0ms	(* j (- (* c a) (* y i)))

simplify59.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	472	478
1	2222	408
2	5001	408

prune269.0ms

Filtered

97 candidates to 63 candidates (64.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	1	16	17
Picked	1	0	1
Done	0	0	0
Total	94	21	115

Merged error: 4.2b

Counts

115 → 21

Details

sample84.0ms

simplify81.0ms

prune4.0ms

localize21.0ms

rewrite23.0ms

series235.0ms

simplify58.0ms

prune378.0ms

localize22.0ms

rewrite23.0ms

series186.0ms

simplify62.0ms

prune398.0ms

localize26.0ms

rewrite23.0ms

series177.0ms

simplify60.0ms

prune359.0ms

localize21.0ms

rewrite25.0ms

series178.0ms

simplify59.0ms

prune269.0ms

regimes1.2s

bsearch4.0ms

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