Details

sample34.0ms

Algorithm

intervals

Results

14.0ms	266×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	1×	body	640	valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 0.4b

Counts

2 → 1

localize9.0ms

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))

rewrite27.0ms

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:

11.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
6.0ms	(* 60.0 (- x y))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series56.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
4.0ms	(* 60.0 (- x y))
18.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify44.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (10.0ms)

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

prune124.0ms

Filtered

75 candidates to 52 candidates (30.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	67	8	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	8	76

Merged error: 0.0b

Counts

76 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

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

29.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
8.0ms	(/ (- z t) (- x y))
15.0ms	(/ 60.0 (/ (- z t) (- x y)))

series88.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (/ 60.0 (/ (- z t) (- x y))) (* a 120.0))
13.0ms	(/ (- z t) (- x y))
42.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (61.0ms)

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

prune223.0ms

Filtered

214 candidates to 145 candidates (32.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	212	2	214
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	216	6	222

Merged error: 0.0b

Counts

222 → 6

localize12.0ms

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))
0.2b	(* 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))
14.0ms	(* 60.0 (/ (- x y) (- z t)))

series63.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
13.0ms	(/ (- x y) (- z t))
15.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

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

prune125.0ms

Filtered

122 candidates to 83 candidates (32.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	122	6	128

Merged error: 0.0b

Counts

128 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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-+l+` `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	(/ 60.0 (- z t))
10.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
12.0ms	(* (/ 60.0 (- z t)) (- x y))

series81.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ 60.0 (- z t))
34.0ms	(+ (* (/ 60.0 (- z t)) (- x y)) (* a 120.0))
41.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify51.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	446	649
1	1793	601
2	5002	601

prune128.0ms

Filtered

111 candidates to 79 candidates (28.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	111	6	117

Merged error: 0.0b

Counts

117 → 6

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

sample827.0ms

Algorithm

intervals

Results

344.0ms	8509×	body	80	valid
10.0ms	54×	body	1280	valid
6.0ms	25×	body	2560	valid
5.0ms	32×	body	640	valid
3.0ms	27×	body	320	valid
1.0ms	8×	body	160	valid
0.0ms	1×	body	5120	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

sample34.0ms

simplify55.0ms

prune4.0ms

localize9.0ms

rewrite27.0ms

series56.0ms

simplify44.0ms

prune124.0ms

localize9.0ms

rewrite62.0ms

series88.0ms

simplify83.0ms

prune223.0ms

localize12.0ms

rewrite36.0ms

series63.0ms

simplify50.0ms

prune125.0ms

localize10.0ms

rewrite31.0ms

series81.0ms

simplify51.0ms

prune128.0ms

regimes1.1s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample827.0ms

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