Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	241×	body	80	valid
4.0ms	13×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	5×	body	1280	valid
0.0ms	4×	body	160	valid

simplify127.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	6
1	52	6
2	109	6
3	195	6
4	445	6
5	828	6
6	1434	6
7	2520	6
8	4830	6
9	5001	6

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: 12.7b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
2.5b	(- (+ x y) (/ (* (- z t) y) (- a t)))
9.1b	(/ (* (- z t) y) (- a t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

6.0ms	(* (- z t) y)
10.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
9.0ms	(/ (* (- z t) y) (- a t))

series211.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (- z t) y)
116.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
67.0ms	(/ (* (- z t) y) (- a t))

simplify51.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	383	461
1	1704	422
2	5001	422

prune199.0ms

Filtered

79 candidates to 56 candidates (70.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	68	11	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	11	80

Merged error: 3.4b

Counts

80 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
2.7b	(- (+ x y) (/ (- z t) (/ (- a t) y)))
11.9b	(/ (- z t) (/ (- a t) y))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
180×	`add-sqr-sqrt`
176×	`*-un-lft-identity`
87×	`add-cube-cbrt`
45×	`difference-of-squares`
44×	`distribute-lft-out--`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `flip3--` `div-sub` `flip--`
2×	`frac-2neg` `diff-log` `clear-num` `frac-sub`
1×	`sub-neg` `flip3-+` `associate--l+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out` `associate--r-`

Counts

3 → 197

Calls

3 calls:

6.0ms	(/ (- a t) y)
36.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
11.0ms	(/ (- z t) (/ (- a t) y))

series241.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(/ (- a t) y)
111.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
101.0ms	(/ (- z t) (/ (- a t) y))

simplify83.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	853	1851
1	3326	1798
2	5001	1798

prune477.0ms

Filtered

206 candidates to 137 candidates (66.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	201	5	206
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	206	11	217

Merged error: 3.3b

Counts

217 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

5.6b	(- (+ x y) (/ (/ (- z t) (* (cbrt (/ (- a t) y)) (cbrt (/ (- a t) y)))) (cbrt (/ (- a t) y))))
15.3b	(cbrt (/ (- a t) y))
15.3b	(cbrt (/ (- a t) y))
15.3b	(cbrt (/ (- a t) y))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-sqr-sqrt`
61×	`cbrt-prod`
56×	`times-frac`
54×	`*-un-lft-identity`
31×	`add-cube-cbrt`
16×	`difference-of-squares`
11×	`distribute-lft-out--`
9×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`cbrt-div` `pow1/3` `div-inv`
2×	`diff-log` `div-sub` `frac-sub`
1×	`sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `flip--` `flip-+` `distribute-lft-out` `associate--r-`

Counts

4 → 110

Calls

4 calls:

80.0ms	(- (+ x y) (/ (/ (- z t) (* (cbrt (/ (- a t) y)) (cbrt (/ (- a t) y)))) (cbrt (/ (- a t) y))))
4.0ms	(cbrt (/ (- a t) y))
4.0ms	(cbrt (/ (- a t) y))
4.0ms	(cbrt (/ (- a t) y))

series618.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(- (+ x y) (/ (/ (- z t) (* (cbrt (/ (- a t) y)) (cbrt (/ (- a t) y)))) (cbrt (/ (- a t) y))))
144.0ms	(cbrt (/ (- a t) y))
140.0ms	(cbrt (/ (- a t) y))
148.0ms	(cbrt (/ (- a t) y))

simplify103.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	428	1458
1	1090	1339
2	4312	1296
3	5001	1274

prune404.0ms

Filtered

122 candidates to 98 candidates (80.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	121	12	133

Merged error: 3.3b

Counts

133 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (neg (- z t)) (/ (- a t) y)))
0.0b	(/ (- a t) y)
2.7b	(+ y (+ x (/ (neg (- z t)) (/ (- a t) y))))
11.9b	(/ (neg (- z t)) (/ (- a t) y))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

506×	`times-frac`
394×	`*-un-lft-identity`
387×	`add-sqr-sqrt`
209×	`add-cube-cbrt`
100×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
89×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
20×	`neg-mul-1`
19×	`associate-/l*`
17×	`div-inv`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-+r-` `distribute-frac-neg`
4×	`pow1` `cbrt-undiv` `div-sub` `div-exp` `sum-log` `associate-/l/` `distribute-lft-out`
3×	`neg-sub0`
2×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `unsub-neg` `clear-num` `flip--` `flip-+` `distribute-neg-frac`
1×	`associate-+r+` `associate-/r/`

Counts

4 → 389

Calls

4 calls:

61.0ms	(+ x (/ (neg (- z t)) (/ (- a t) y)))
6.0ms	(/ (- a t) y)
63.0ms	(+ y (+ x (/ (neg (- z t)) (/ (- a t) y))))
21.0ms	(/ (neg (- z t)) (/ (- a t) y))

series325.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ x (/ (neg (- z t)) (/ (- a t) y)))
26.0ms	(/ (- a t) y)
120.0ms	(+ y (+ x (/ (neg (- z t)) (/ (- a t) y))))
105.0ms	(/ (neg (- z t)) (/ (- a t) y))

simplify72.0ms

Algorithm

egg-herbie

Counts

401 → 401

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1440	4334
1	5001	4235

prune809.0ms

Filtered

401 candidates to 244 candidates (60.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	401	0	401
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	401	12	413

Merged error: 3.3b

Counts

413 → 12

Details

sample28.0ms

simplify127.0ms

prune2.0ms

localize10.0ms

rewrite27.0ms

series211.0ms

simplify51.0ms

prune199.0ms

localize10.0ms

rewrite64.0ms

series241.0ms

simplify83.0ms

prune477.0ms

localize20.0ms

rewrite97.0ms

series618.0ms

simplify103.0ms

prune404.0ms

localize12.0ms

rewrite177.0ms

series325.0ms

simplify72.0ms

prune809.0ms

regimes284.0ms

bsearch3.0ms

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