Details

sample29.0ms

Algorithm

intervals

Results

10.0ms

282×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
11.5b	(/ (* y (- z t)) (- z a))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `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` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

6.0ms	(+ x (/ (* y (- z t)) (- z a)))
6.0ms	(* y (- z t))
12.0ms	(/ (* y (- z t)) (- z a))

series47.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (/ (* y (- z t)) (- z a)))
7.0ms	(* y (- z t))
15.0ms	(/ (* y (- z t)) (- z a))

simplify39.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	337	381
1	1443	342
2	5002	342

prune100.0ms

Filtered

76 candidates to 52 candidates (31.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	70	6	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	7	77

Merged error: 0b

Counts

77 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
3.0b	(/ y (/ (- z a) (- z t)))

rewrite56.0ms

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:

27.0ms	(+ x (/ y (/ (- z a) (- z t))))
7.0ms	(/ (- z a) (- z t))
11.0ms	(/ y (/ (- z a) (- z t)))

series60.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (/ y (/ (- z a) (- z t))))
8.0ms	(/ (- z a) (- z t))
22.0ms	(/ y (/ (- z a) (- z t)))

simplify75.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (56.0ms)

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

prune165.0ms

Filtered

215 candidates to 144 candidates (33.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	217	5	222

Merged error: 0b

Counts

222 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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)))
11.0ms	(* (/ y (- z a)) (- z t))

series56.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ y (- z a))
26.0ms	(+ x (* (/ y (- z a)) (- z t)))
23.0ms	(* (/ y (- z a)) (- z t))

simplify45.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (10.0ms)

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

prune96.0ms

Filtered

111 candidates to 79 candidates (28.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	111	5	116

Merged error: 0b

Counts

116 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ 1 (/ (- z a) (* y (- z t)))))
0.5b	(/ 1 (/ (- z a) (* y (- z t))))
11.5b	(/ (- z a) (* y (- z t)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
45×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
32×	`add-exp-log`
28×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-r/` `associate-/r`
11×	`associate-/r/`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `flip3--` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`
6×	`add-log-exp`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

6.0ms	(* y (- z t))
12.0ms	(+ x (/ 1 (/ (- z a) (* y (- z t)))))
10.0ms	(/ 1 (/ (- z a) (* y (- z t))))
8.0ms	(/ (- z a) (* y (- z t)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* y (- z t))
24.0ms	(+ x (/ 1 (/ (- z a) (* y (- z t)))))
34.0ms	(/ 1 (/ (- z a) (* y (- z t))))
15.0ms	(/ (- z a) (* y (- z t)))

simplify63.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	535	1031
1	2535	861
2	5001	853

prune101.0ms

Filtered

153 candidates to 84 candidates (45.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	153	5	158

Merged error: 0b

Counts

158 → 5

regimes553.0ms

Accuracy

83.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	23
1	27	23

end0.0ms

sample778.0ms

Algorithm

intervals

Results

317.0ms

8748×

body

valid

Details

sample29.0ms

simplify52.0ms

prune4.0ms

localize8.0ms

rewrite26.0ms

series47.0ms

simplify39.0ms

prune100.0ms

localize9.0ms

rewrite56.0ms

series60.0ms

simplify75.0ms

prune165.0ms

localize8.0ms

rewrite23.0ms

series56.0ms

simplify45.0ms

prune96.0ms

localize10.0ms

rewrite42.0ms

series80.0ms

simplify63.0ms

prune101.0ms

regimes553.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample778.0ms

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