Details

sample25.0ms

Algorithm

intervals

Results

12.0ms	275×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	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

prune2.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
0.4b	(/ (* 60.0 (- x y)) (- z t))

rewrite28.0ms

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:

7.0ms	(* 60.0 (- x y))
11.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
9.0ms	(/ (* 60.0 (- x y)) (- z t))

series209.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* 60.0 (- x y))
119.0ms	(+ (/ (* 60.0 (- x y)) (- z t)) (* a 120.0))
61.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify51.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	367	404
1	1595	361
2	5002	361

prune173.0ms

Filtered

75 candidates to 52 candidates (69.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	70	5	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	6	76

Merged error: 0.0b

Counts

76 → 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)))

rewrite39.0ms

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:

11.0ms	(/ (- x y) (- z t))
10.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
13.0ms	(* 60.0 (/ (- x y) (- z t)))

series224.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- x y) (- z t))
120.0ms	(+ (* 60.0 (/ (- x y) (- z t))) (* a 120.0))
56.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (11.0ms)

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

prune273.0ms

Filtered

122 candidates to 81 candidates (66.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	122	6	128

Merged error: 0.0b

Counts

128 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

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:

10.0ms	(/ 1 (- z t))
11.0ms	(* 60.0 (- x y))
15.0ms	(+ (* (* 60.0 (- x y)) (/ 1 (- z t))) (* a 120.0))
13.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1 (- z t))
35.0ms	(* 60.0 (- x y))
120.0ms	(+ (* (* 60.0 (- x y)) (/ 1 (- z t))) (* a 120.0))
68.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

simplify72.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	526	779
1	2746	674
2	5002	631

prune446.0ms

Filtered

140 candidates to 78 candidates (55.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	140	6	146

Merged error: 0.0b

Counts

146 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt 60.0) (- x y))
0.3b	(* (* (cbrt 60.0) (cbrt 60.0)) (* (cbrt 60.0) (- x y)))
0.5b	(* (* (* (cbrt 60.0) (cbrt 60.0)) (* (cbrt 60.0) (- x y))) (/ 1 (- z t)))
1.0b	(* (cbrt 60.0) (cbrt 60.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-exp-log`
62×	`prod-exp`
44×	`add-sqr-sqrt`
43×	`pow1`
40×	`add-cbrt-cube`
36×	`cbrt-unprod`
33×	`associate-r`
32×	`*-un-lft-identity`
24×	`add-cube-cbrt` `pow-prod-down`
20×	`cbrt-prod`
15×	`times-frac` `associate-*r/`
14×	`associate-l`
10×	`distribute-rgt-in` `distribute-lft-in` `div-exp`
6×	`sub-neg` `pow1/3` `swap-sqr` `unswap-sqr`
5×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--`
4×	`*-commutative` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`frac-times` `associate-*l/` `associate-/r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `un-div-inv` `div-inv`

Counts

4 → 173

Calls

4 calls:

7.0ms	(* (cbrt 60.0) (- x y))
12.0ms	(* (* (cbrt 60.0) (cbrt 60.0)) (* (cbrt 60.0) (- x y)))
20.0ms	(* (* (* (cbrt 60.0) (cbrt 60.0)) (* (cbrt 60.0) (- x y))) (/ 1 (- z t)))
6.0ms	(* (cbrt 60.0) (cbrt 60.0))

series268.0ms

Counts

4 → 10

Calls

4 calls:

62.0ms	(* (cbrt 60.0) (- x y))
73.0ms	(* (* (cbrt 60.0) (cbrt 60.0)) (* (cbrt 60.0) (- x y)))
132.0ms	(* (* (* (cbrt 60.0) (cbrt 60.0)) (* (cbrt 60.0) (- x y))) (/ 1 (- z t)))
0.0ms	(* (cbrt 60.0) (cbrt 60.0))

simplify108.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	670	1591
1	3672	1119
2	5001	948

prune346.0ms

Filtered

183 candidates to 88 candidates (48.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	183	6	189

Merged error: 0.0b

Counts

189 → 6

regimes330.0ms

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

sample556.0ms

Algorithm

intervals

Results

280.0ms	8521×	body	80	valid
7.0ms	50×	body	1280	valid
4.0ms	23×	body	2560	valid
4.0ms	35×	body	640	valid
2.0ms	23×	body	320	valid
1.0ms	11×	body	160	valid
0.0ms	2×	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

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