Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

270×

body

valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	8
1	37	8
2	65	8
3	94	8
4	108	8
5	132	8
6	201	8
7	359	8
8	825	8
9	3212	8
10	5001	8

prune3.0ms

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: 26.7b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- t a))
1.3b	(+ (* x y) (* z (- t a)))
25.8b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

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

series411.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ y (* z (- b y)))
34.0ms	(* z (- t a))
44.0ms	(+ (* x y) (* z (- t a)))
305.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	359	708
1	1499	648
2	5001	648

prune259.0ms

Filtered

99 candidates to 69 candidates (69.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	89	10	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	10	100

Merged error: 26.0b

Counts

100 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.2b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.3b	(+ (* x y) (* z (- t a)))
25.9b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
62×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`div-exp`
7×	`pow1` `flip3-+` `flip-+`
6×	`div-inv` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in`
3×	`associate-l`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*r/` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3--` `pow-flip` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 156

Calls

4 calls:

6.0ms	(* z (- t a))
12.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
4.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.2s

Counts

4 → 12

Calls

4 calls:

36.0ms	(* z (- t a))
812.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
40.0ms	(+ (* x y) (* z (- t a)))
265.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify79.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	570	2054
1	2752	1881
2	5001	1793

prune320.0ms

Filtered

168 candidates to 95 candidates (56.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	168	10	178

Merged error: 26.0b

Counts

178 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))))
0.2b	(/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
1.3b	(+ (* x y) (* z (- t a)))
25.8b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

528×	`times-frac`
255×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
68×	`associate-/r*`
60×	`add-exp-log`
43×	`div-exp`
40×	`associate-/r/`
23×	`div-inv`
20×	`add-cbrt-cube`
19×	`flip3-+` `flip-+`
15×	`rec-exp` `1-exp`
10×	`cbrt-undiv`
9×	`associate-/l*`
7×	`pow1`
6×	`add-log-exp`
5×	`pow-flip`
4×	`associate-+r+`
3×	`frac-2neg` `clear-num` `inv-pow`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-/l/`
1×	`+-commutative` `sum-log` `remove-double-div`

Counts

4 → 373

Calls

4 calls:

15.0ms	(/ 1 (/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))))
8.0ms	(/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
4.0ms	(+ (* x y) (* z (- t a)))
8.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series808.0ms

Counts

4 → 12

Calls

4 calls:

315.0ms	(/ 1 (/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))))
140.0ms	(/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
45.0ms	(+ (* x y) (* z (- t a)))
308.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify91.0ms

Algorithm

egg-herbie

Counts

385 → 385

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1213	6664
1	5001	5715

prune692.0ms

Filtered

385 candidates to 194 candidates (50.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	385	0	385
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	385	10	395

Merged error: 26.0b

Counts

395 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.3b	(/ 1 (+ y (* z (- b y))))
1.3b	(+ (* x y) (* z (- t a)))
25.7b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac` `associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `prod-exp` `flip-+`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `div-exp` `associate-/r/` `unswap-sqr`
3×	`associate-r/` `associate-/r` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `flip3--` `pow-flip` `frac-2neg` `clear-num` `sum-log` `un-div-inv` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

6.0ms	(* z (- t a))
4.0ms	(/ 1 (+ y (* z (- b y))))
4.0ms	(+ (* x y) (* z (- t a)))
11.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series476.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* z (- t a))
77.0ms	(/ 1 (+ y (* z (- b y))))
46.0ms	(+ (* x y) (* z (- t a)))
315.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	448	957
1	2212	849
2	5002	823

prune241.0ms

Filtered

128 candidates to 79 candidates (61.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	128	10	138

Merged error: 26.0b

Counts

138 → 10

regimes348.0ms

Accuracy

0% (0.7b remaining)

Error of 23.5b against oracle of 22.8b and baseline of 23.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	10
1	24	10

end0.0ms

sample680.0ms

Algorithm

intervals

Results

381.0ms

8440×

body

valid