Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

348×

body

valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2024	4
11	3276	4
12	5001	4

prune2.0ms

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: 2.6b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
7.3b	(* (- y x) (/ z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))

series81.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ x (* (- y x) (/ z t)))
43.0ms	(* (- y x) (/ z t))

simplify41.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune129.0ms

Filtered

55 candidates to 39 candidates (70.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	9	56

Merged error: 0.0b

Counts

56 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y x) z) t))
0.0b	(* (- y x) z)
7.2b	(/ (* (- y x) z) t)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-*l/`
3×	`times-frac` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

4.0ms	(+ x (/ (* (- y x) z) t))
6.0ms	(* (- y x) z)
7.0ms	(/ (* (- y x) z) t)

series110.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ x (/ (* (- y x) z) t))
29.0ms	(* (- y x) z)
46.0ms	(/ (* (- y x) z) t)

simplify45.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	283	314
1	1117	267
2	5001	267

prune118.0ms

Filtered

66 candidates to 42 candidates (63.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	65	10	75

Merged error: 0b

Counts

75 → 10

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
7.7b	(/ (- y x) (/ t z))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

18.0ms	(+ x (/ (- y x) (/ t z)))
13.0ms	(/ (- y x) (/ t z))

series80.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (/ (- y x) (/ t z)))
42.0ms	(/ (- y x) (/ t z))

simplify61.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	609	959
1	2199	914
2	5001	913

prune238.0ms

Filtered

120 candidates to 85 candidates (70.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	6	1	7
Picked	0	1	1
Done	0	2	2
Total	123	7	130

Merged error: 0b

Counts

130 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
2.8b	(/ (cbrt (- y x)) (/ (cbrt t) z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

338×	`times-frac`
222×	`add-sqr-sqrt` `*-un-lft-identity`
211×	`cbrt-prod`
170×	`add-cube-cbrt`
26×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`div-inv`
9×	`add-exp-log`
8×	`cbrt-div` `associate-/l*`
6×	`add-cbrt-cube`
4×	`pow1` `flip3--` `flip--` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/r/`

Counts

4 → 268

Calls

4 calls:

3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))
12.0ms	(/ (cbrt (- y x)) (/ (cbrt t) z))

series867.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt (- y x))
144.0ms	(cbrt (- y x))
153.0ms	(cbrt (- y x))
415.0ms	(/ (cbrt (- y x)) (/ (cbrt t) z))

simplify107.0ms

Algorithm

egg-herbie

Counts

280 → 280

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	891	3276
1	3455	3214
2	5001	3098

prune765.0ms

Filtered

280 candidates to 192 candidates (68.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	280	0	280
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	280	7	287

Merged error: 0b

Counts

287 → 7

Details

sample25.0ms

simplify110.0ms

prune2.0ms

localize7.0ms

rewrite14.0ms

series81.0ms

simplify41.0ms

prune129.0ms

localize7.0ms

rewrite19.0ms

series110.0ms

simplify45.0ms

prune118.0ms

localize7.0ms

rewrite37.0ms

series80.0ms

simplify61.0ms

prune238.0ms

localize15.0ms

rewrite38.0ms

series867.0ms

simplify107.0ms

prune765.0ms

regimes174.0ms

bsearch2.0ms

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