Details

sample21.0ms

Algorithm

intervals

Results

9.0ms	280×	body	80	valid
0.0ms	1×	body	640	valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	58	5
3	101	5
4	145	5
5	178	5
6	204	5
7	264	5
8	352	5
9	441	5
10	707	5
11	906	5
12	1022	5
13	1044	5
14	1044	5

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: 10.1b

Counts

2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
10.0b	(/ (* y (- z t)) (- z a))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

7.0ms	(+ x (/ (* y (- z t)) (- z a)))
9.0ms	(/ (* y (- z t)) (- z a))

series138.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(+ x (/ (* y (- z t)) (- z a)))
61.0ms	(/ (* y (- z t)) (- z a))

simplify33.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	277	283
1	1051	254
2	5001	254

prune110.0ms

Filtered

47 candidates to 35 candidates (74.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	40	7	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	8	48

Merged error: 0b

Counts

48 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
2.6b	(/ y (/ (- z a) (- z t)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

25.0ms	(+ x (/ y (/ (- z a) (- z t))))
8.0ms	(/ (- z a) (- z t))
16.0ms	(/ y (/ (- z a) (- z t)))

series241.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ x (/ y (/ (- z a) (- z t))))
42.0ms	(/ (- z a) (- z t))
118.0ms	(/ y (/ (- z a) (- z t)))

simplify78.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	702	1885
1	3069	1832
2	5002	1829

prune402.0ms

Filtered

215 candidates to 144 candidates (67.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	212	3	215
Fresh	5	1	6
Picked	1	0	1
Done	0	1	1
Total	218	5	223

Merged error: 0b

Counts

223 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- z a))))
7.0ms	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ x (* y (/ (- z t) (- z a))))
45.0ms	(/ (- z t) (- z a))
60.0ms	(* y (/ (- z t) (- z a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	423	747
1	1655	704
2	5001	704

prune205.0ms

Filtered

122 candidates to 82 candidates (67.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Merged error: 0b

Counts

127 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
0.0b	(/ (- z a) (- z t))
0.9b	(/ 1 (/ (/ (- z a) (- z t)) y))
2.5b	(/ (/ (- z a) (- z t)) y)

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

1181×	`times-frac`
797×	`*-un-lft-identity`
794×	`add-sqr-sqrt`
450×	`add-cube-cbrt`
172×	`distribute-lft-out--` `difference-of-squares`
105×	`associate-/r*`
39×	`associate-/l*`
35×	`associate-/r/`
32×	`add-exp-log`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `div-sub` `clear-num` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

4 → 624

Calls

4 calls:

72.0ms	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
8.0ms	(/ (- z a) (- z t))
24.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
17.0ms	(/ (/ (- z a) (- z t)) y)

series391.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ x (/ 1 (/ (/ (- z a) (- z t)) y)))
46.0ms	(/ (- z a) (- z t))
191.0ms	(/ 1 (/ (/ (- z a) (- z t)) y))
80.0ms	(/ (/ (- z a) (- z t)) y)

simplify109.0ms

Algorithm

egg-herbie

Counts

636 → 636

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1829	7504
1	5002	6286

prune858.0ms

Filtered

636 candidates to 289 candidates (45.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	636	0	636
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	636	5	641

Merged error: 0b

Counts

641 → 5

Details

sample21.0ms

simplify52.0ms

prune2.0ms

localize13.0ms

rewrite17.0ms

series138.0ms

simplify33.0ms

prune110.0ms

localize8.0ms

rewrite60.0ms

series241.0ms

simplify78.0ms

prune402.0ms

localize8.0ms

rewrite32.0ms

series179.0ms

simplify46.0ms

prune205.0ms

localize9.0ms

rewrite171.0ms

series391.0ms

simplify109.0ms

prune858.0ms

regimes214.0ms

bsearch2.0ms

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