Details

sample30.0ms

Algorithm

intervals

Results

11.0ms	273×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid

simplify54.0ms

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

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: 0.6b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 60.0 (- x y))
0.7b	(/ (* 60.0 (- x y)) (- z t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `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/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

6.0ms	(* 60.0 (- x y))
12.0ms	(/ (* 60.0 (- x y)) (- z t))

series20.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* 60.0 (- x y))
15.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify37.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	275	276
1	1237	239
2	5002	239

prune76.0ms

Filtered

40 candidates to 61 candidates (-52.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	4	62

Merged error: 0.0b

Counts

62 → 4

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

7.0ms	(/ (- x y) (- z t))
13.0ms	(* 60.0 (/ (- x y) (- z t)))

series28.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(/ (- x y) (- z t))
16.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	354	647
1	1404	606
2	5001	606

prune91.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	108	4	112

Merged error: 0.0b

Counts

112 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.4b	(/ 60.0 (/ (- z t) (- x y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

7.0ms	(/ (- z t) (- x y))
11.0ms	(/ 60.0 (/ (- z t) (- x y)))

series53.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(/ (- z t) (- x y))
41.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	633	1780
1	2855	1729
2	5002	1726

prune177.0ms

Filtered

132 candidates to 200 candidates (-51.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	201	3	204

Merged error: 0.0b

Counts

204 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 60.0 (- z t))
0.2b	(* (/ 60.0 (- z t)) (- x y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 87

Calls

2 calls:

5.0ms	(/ 60.0 (- z t))
11.0ms	(* (/ 60.0 (- z t)) (- x y))

series45.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ 60.0 (- z t))
38.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify41.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	349	497
1	1424	459
2	5001	459

prune91.0ms

Filtered

64 candidates to 93 candidates (-45.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0.0b

Counts

96 → 3

regimes680.0ms

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

sample828.0ms

Algorithm

intervals

Results

348.0ms	8546×	body	80	valid
8.0ms	42×	body	1280	valid
5.0ms	23×	body	2560	valid
5.0ms	31×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	9×	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

sample30.0ms

simplify54.0ms

prune5.0ms

localize10.0ms

rewrite19.0ms

series20.0ms

simplify37.0ms

prune76.0ms

localize12.0ms

rewrite24.0ms

series28.0ms

simplify44.0ms

prune91.0ms

localize9.0ms

rewrite29.0ms

series53.0ms

simplify74.0ms

prune177.0ms

localize9.0ms

rewrite19.0ms

series45.0ms

simplify41.0ms

prune91.0ms

regimes680.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample828.0ms

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