Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	274×	body	80	valid
0.0ms	2×	body	640	valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

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: 0.4b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.5b	(/ (* 60.0 (- x y)) (- z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity`
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` `associate-/l*`

Counts

2 → 40

Calls

2 calls:

14.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series179.0ms

Counts

2 → 6

Calls

2 calls:

121.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
58.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify40.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	301	306
1	1189	273
2	5002	273

prune121.0ms

Filtered

46 candidates to 35 candidates (76.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	5	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	6	47

Merged error: 0.0b

Counts

47 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (- z t))
0.0b	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite37.0ms

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:

8.0ms	(/ (- x y) (- z t))
11.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
13.0ms	(* 60.0 (/ (- x y) (- z t)))

series235.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- x y) (- z t))
119.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
61.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	448	775
1	1788	728
2	5002	728

prune252.0ms

Filtered

122 candidates to 82 candidates (67.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	122	6	128

Merged error: 0.0b

Counts

128 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
0.5b	(/ 60.0 (/ (- z t) (- x y)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
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-+`

Counts

3 → 205

Calls

3 calls:

8.0ms	(/ (- z t) (- x y))
31.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
12.0ms	(/ 60.0 (/ (- z t) (- x y)))

series497.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- z t) (- x y))
158.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
284.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify89.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	727	1908
1	3212	1851
2	5001	1849

prune460.0ms

Filtered

214 candidates to 145 candidates (67.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	214	6	220

Merged error: 0.0b

Counts

220 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
0.5b	(/ (- z t) (* 60.0 (- x y)))
0.6b	(/ 1 (/ (- z t) (* 60.0 (- x y))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
37×	`add-sqr-sqrt` `*-un-lft-identity`
29×	`add-exp-log`
25×	`add-cube-cbrt`
17×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-/r*`
11×	`associate-/r/`
10×	`associate-*r/`
8×	`associate-/l*`
7×	`cbrt-undiv`
6×	`flip3--` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`
5×	`add-log-exp`
4×	`pow1` `prod-exp`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `sum-log` `flip-+` `inv-pow`

Counts

3 → 113

Calls

3 calls:

21.0ms	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
9.0ms	(/ (- z t) (* 60.0 (- x y)))
11.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))

series486.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms	(+ (/ 1 (/ (- z t) (* 60.0 (- x y)))) (* a 120.0))
61.0ms	(/ (- z t) (* 60.0 (- x y)))
280.0ms	(/ 1 (/ (- z t) (* 60.0 (- x y))))

simplify67.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	517	952
1	2363	787
2	5001	777

prune174.0ms

Filtered

122 candidates to 66 candidates (54.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	122	6	128

Merged error: 0.0b

Counts

128 → 6

regimes367.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample618.0ms

Algorithm

intervals

Results

333.0ms	8519×	body	80	valid
9.0ms	52×	body	1280	valid
4.0ms	28×	body	640	valid
3.0ms	15×	body	2560	valid
3.0ms	26×	body	320	valid
0.0ms	6×	body	160	valid

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6

Iter	Nodes	Cost
0	22	6
1	37	6
2	62	6
3	105	6
4	149	6
5	188	6
6	221	6
7	275	6
8	362	6
9	448	6
10	686	6
11	812	6
12	903	6
13	907	6
14	907	6