Details

analyze1.0s

Algorithm: search

sample25.0ms

Algorithm

intervals

Results

10.0ms	253×	body	80	valid
1.0ms	23×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify54.0ms

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

prune5.0ms

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

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-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` `associate-/l` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

10.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
6.0ms	(* 60.0 (- x y))
8.0ms	(/ (* 60.0 (- x y)) (- z t))

series52.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
4.0ms	(* 60.0 (- x y))
15.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify44.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	367	404
1	1595	361
2	5001	361

prune117.0ms

Filtered

52 candidates to 75 candidates (-44.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	68	7	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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:

10.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
8.0ms	(/ (- x y) (- z t))
13.0ms	(* 60.0 (/ (- x y) (- z t)))

series62.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
15.0ms	(/ (- x y) (- z t))
15.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

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

prune124.0ms

Filtered

81 candidates to 122 candidates (-50.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	122	7	129

Merged error: 0.0b

Counts

129 → 7

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))
0.6b	(/ 60.0 (/ (- z t) (- x y)))

rewrite62.0ms

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))
28.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
14.0ms	(/ 60.0 (/ (- z t) (- x y)))

series85.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ (- z t) (- x y))
32.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
40.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (65.0ms)

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

prune212.0ms

Filtered

145 candidates to 214 candidates (-47.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	214	7	221

Merged error: 0.0b

Counts

221 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

5.0ms	(/ 1 (- z t))
11.0ms	(+ (* (* 60.0 (- x y)) (/ 1 (- z t))) (* a 120.0))
6.0ms	(* 60.0 (- x y))
15.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ 1 (- z t))
35.0ms	(+ (* (* 60.0 (- x y)) (/ 1 (- z t))) (* a 120.0))
4.0ms	(* 60.0 (- x y))
15.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	526	777
1	2746	672
2	5002	629

prune109.0ms

Filtered

78 candidates to 140 candidates (-79.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	140	7	147

Merged error: 0.0b

Counts

147 → 7

regimes1.1s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

analyze992.0ms

Algorithm: search

sample655.0ms

Algorithm

intervals

Results

335.0ms	7869×	body	80	valid
31.0ms	696×	body	80	invalid
11.0ms	58×	body	1280	valid
6.0ms	25×	body	2560	valid
4.0ms	28×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	8×	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

Details

analyze1.0s

sample25.0ms

simplify54.0ms

prune5.0ms

localize13.0ms

rewrite26.0ms

series52.0ms

simplify44.0ms

prune117.0ms

localize9.0ms

rewrite36.0ms

series62.0ms

simplify49.0ms

prune124.0ms

localize9.0ms

rewrite62.0ms

series85.0ms

simplify88.0ms

prune212.0ms

localize10.0ms

rewrite42.0ms

series58.0ms

simplify66.0ms

prune109.0ms

regimes1.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze992.0ms

sample655.0ms

Profiling

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