Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

271×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	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: 0.3b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
0.6b	(* y (/ (- z t) (- z a)))

rewrite29.0ms

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))))
8.0ms	(/ (- z t) (- z a))
14.0ms	(* y (/ (- z t) (- z a)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ x (* y (/ (- z t) (- z a))))
42.0ms	(/ (- z t) (- z a))
65.0ms	(* y (/ (- z t) (- z a)))

simplify47.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

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

prune267.0ms

Filtered

122 candidates to 83 candidates (68.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	7	123

Merged error: 0b

Counts

123 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (- z a) (- z t)))
0.6b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

2.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
8.0ms	(/ (- z a) (- z t))
15.0ms	(/ 1 (/ (- z a) (- z t)))
30.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series359.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
41.0ms	(/ (- z a) (- z t))
109.0ms	(/ 1 (/ (- z a) (- z t)))
117.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify110.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	954	2831
1	4775	2542
2	5002	2256

prune516.0ms

Filtered

350 candidates to 183 candidates (52.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	348	2	350
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	353	4	357

Merged error: 0b

Counts

357 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
0.6b	(/ y (/ (- z a) (- z t)))

rewrite64.0ms

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:

32.0ms	(+ x (/ y (/ (- z a) (- z t))))
8.0ms	(/ (- z a) (- z t))
13.0ms	(/ y (/ (- z a) (- z t)))

series236.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ x (/ y (/ (- z a) (- z t))))
45.0ms	(/ (- z a) (- z t))
112.0ms	(/ y (/ (- z a) (- z t)))

simplify80.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (60.0ms)

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

prune380.0ms

Filtered

215 candidates to 143 candidates (66.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	215	4	219

Merged error: 0b

Counts

219 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- z a))
0.0b	(+ x (* (/ y (- z a)) (- z t)))
11.3b	(* (/ y (- z a)) (- z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

5.0ms	(/ y (- z a))
3.0ms	(+ x (* (/ y (- z a)) (- z t)))
12.0ms	(* (/ y (- z a)) (- z t))

series221.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ y (- z a))
78.0ms	(+ x (* (/ y (- z a)) (- z t)))
110.0ms	(* (/ y (- z a)) (- z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	416	613
1	1659	573
2	5001	573

prune187.0ms

Filtered

111 candidates to 78 candidates (70.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	111	4	115

Merged error: 0b

Counts

115 → 4

regimes161.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample582.0ms

Algorithm

intervals

Results

311.0ms	8761×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

Details

sample20.0ms

simplify54.0ms

prune2.0ms

localize8.0ms

rewrite29.0ms

series182.0ms

simplify47.0ms

prune267.0ms

localize9.0ms

rewrite76.0ms

series359.0ms

simplify110.0ms

prune516.0ms

localize8.0ms

rewrite64.0ms

series236.0ms

simplify80.0ms

prune380.0ms

localize8.0ms

rewrite24.0ms

series221.0ms

simplify47.0ms

prune187.0ms

regimes161.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample582.0ms

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