Details

sample87.0ms

Algorithm

intervals

Results

49.0ms

626×

body

valid

simplify82.0ms

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: 13.8b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c a) (* y i))
5.0b	(* x (- (* y z) (* t a)))
5.8b	(* j (- (* c a) (* y i)))
6.5b	(* b (- (* c z) (* t i)))

rewrite22.0ms

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

series233.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* c a) (* y i))
68.0ms	(* x (- (* y z) (* t a)))
62.0ms	(* j (- (* c a) (* y i)))
68.0ms	(* b (- (* c z) (* t i)))

simplify57.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (13.0ms)

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

prune399.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	74	22	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	22	97

Merged error: 9.8b

Counts

97 → 22

localize22.0ms

Local error

Found 4 expressions with local error:

5.0b	(* x (- (* y z) (* t a)))
5.0b	(* j (neg (* y i)))
5.0b	(* j (* c a))
6.5b	(* b (- (* c z) (* t i)))

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	(* x (- (* y z) (* t a)))
4.0ms	(* j (neg (* y i)))
5.0ms	(* j (* c a))
6.0ms	(* b (- (* c z) (* t i)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* j (neg (* y i)))
23.0ms	(* j (* c a))
68.0ms	(* b (- (* c z) (* t i)))

simplify62.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	443	484
1	2066	419
2	5001	419

prune396.0ms

Filtered

100 candidates to 67 candidates (67.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	4	17	21
Picked	1	0	1
Done	0	0	0
Total	102	20	122

Merged error: 7.5b

Counts

122 → 20

localize21.0ms

Local error

Found 4 expressions with local error:

5.0b	(* x (- (* y z) (* t a)))
5.0b	(* j (* c a))
5.3b	(* (* j (neg y)) i)
6.5b	(* b (- (* c z) (* t i)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
8×	`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:

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

series180.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* x (- (* y z) (* t a)))
23.0ms	(* j (* c a))
28.0ms	(* (* j (neg y)) i)
63.0ms	(* b (- (* c z) (* t i)))

simplify55.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	467	477
1	2087	407
2	5002	407

prune348.0ms

Filtered

97 candidates to 61 candidates (62.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	96	21	117

Merged error: 7.0b

Counts

117 → 21

localize21.0ms

Local error

Found 4 expressions with local error:

5.0b	(* x (- (* y z) (* t a)))
5.3b	(* (* j (neg y)) i)
5.4b	(* (* j c) a)
6.5b	(* b (- (* c z) (* t i)))

rewrite26.0ms

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:

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

series177.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* x (- (* y z) (* t a)))
24.0ms	(* (* j (neg y)) i)
27.0ms	(* (* j c) a)
62.0ms	(* b (- (* c z) (* t i)))

simplify57.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	473	478
1	2210	408
2	5003	408

prune264.0ms

Filtered

97 candidates to 61 candidates (62.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	3	17	20
Picked	1	0	1
Done	0	0	0
Total	97	21	118

Merged error: 7.0b

Counts

118 → 21

Details

sample87.0ms

simplify82.0ms

prune4.0ms

localize24.0ms

rewrite22.0ms

series233.0ms

simplify57.0ms

prune399.0ms

localize22.0ms

rewrite23.0ms

series184.0ms

simplify62.0ms

prune396.0ms

localize21.0ms

rewrite26.0ms

series180.0ms

simplify55.0ms

prune348.0ms

localize21.0ms

rewrite26.0ms

series177.0ms

simplify57.0ms

prune264.0ms

regimes1.1s

bsearch4.0ms

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