Details

sample91.0ms

Algorithm

intervals

Results

55.0ms

612×

body

valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 13.5b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
5.0b	(* x (- (* y z) (* t a)))
6.1b	(* j (- (* c t) (* i y)))
7.1b	(* b (- (* c z) (* i a)))

rewrite25.0ms

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	(* x (- (* y z) (* t a)))
8.0ms	(* j (- (* c t) (* i y)))
6.0ms	(* b (- (* c z) (* i a)))

series239.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (* y z) (* t a))
68.0ms	(* x (- (* y z) (* t a)))
69.0ms	(* j (- (* c t) (* i y)))
64.0ms	(* b (- (* c z) (* i a)))

simplify54.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	425	552
1	1771	485
2	5002	485

prune373.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	77	19	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	19	97

Merged error: 10.2b

Counts

97 → 19

localize22.0ms

Local error

Found 4 expressions with local error:

5.0b	(* x (- (* y z) (* t a)))
5.5b	(* b (neg (* i a)))
6.1b	(* j (- (* c t) (* i y)))
7.6b	(* b (* c z))

rewrite25.0ms

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

series180.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* x (- (* y z) (* t a)))
23.0ms	(* b (neg (* i a)))
67.0ms	(* j (- (* c t) (* i y)))
24.0ms	(* b (* c z))

simplify59.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	445	484
1	2066	419
2	5001	419

prune372.0ms

Filtered

100 candidates to 67 candidates (67.0%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	3	15	18
Picked	1	0	1
Done	0	0	0
Total	100	19	119

Merged error: 7.3b

Counts

119 → 19

localize22.0ms

Local error

Found 4 expressions with local error:

3.5b	(* (* b c) z)
5.0b	(* x (- (* y z) (* t a)))
5.5b	(* b (neg (* i a)))
6.1b	(* j (- (* c t) (* i y)))

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

series189.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* b c) z)
69.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* b (neg (* i a)))
71.0ms	(* j (- (* c t) (* i y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	454	485
1	2196	420
2	5002	420

prune373.0ms

Filtered

100 candidates to 66 candidates (66.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	3	15	18
Picked	1	0	1
Done	0	0	0
Total	99	20	119

Merged error: 6.9b

Counts

119 → 20

localize24.0ms

Local error

Found 4 expressions with local error:

6.8b	(cbrt (- (* y z) (* t a)))
6.8b	(cbrt (- (* y z) (* t a)))
6.8b	(cbrt (- (* y z) (* t a)))
7.1b	(* b (- (* c z) (* i a)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

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

series401.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt (- (* y z) (* t a)))
113.0ms	(cbrt (- (* y z) (* t a)))
111.0ms	(cbrt (- (* y z) (* t a)))
66.0ms	(* b (- (* c z) (* i a)))

simplify102.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	312	590
1	1053	543
2	3784	525
3	5001	516

prune321.0ms

Filtered

75 candidates to 59 candidates (78.7%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	19	19
Picked	0	1	1
Done	0	0	0
Total	74	21	95

Merged error: 6.9b

Counts

95 → 21

Details

sample91.0ms

simplify81.0ms

prune4.0ms

localize20.0ms

rewrite25.0ms

series239.0ms

simplify54.0ms

prune373.0ms

localize22.0ms

rewrite25.0ms

series180.0ms

simplify59.0ms

prune372.0ms

localize22.0ms

rewrite23.0ms

series189.0ms

simplify65.0ms

prune373.0ms

localize24.0ms

rewrite17.0ms

series401.0ms

simplify102.0ms

prune321.0ms

regimes1.2s

bsearch5.0ms

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