Details

sample2.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 2.233887%

Guaranteed chance to sample good point: 47.415408%

Results

10.0ms	256×	body	80	valid
1.0ms	19×	body	80	invalid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	5

prune8.0ms

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: 1.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.4b	(* y (/ (- z t) (- z a)))

rewrite25.0ms

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	(/ (- z t) (- z a))
13.0ms	(* y (/ (- z t) (- z a)))

series23.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ (- z t) (- z a))
15.0ms	(* y (/ (- z t) (- z a)))

simplify38.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	351	647
1	1392	606
2	5002	606

prune142.0ms

Filtered

71 candidates to 108 candidates (-52.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	6	109

Merged error: 0b

Counts

109 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))
1.0b	(* (cbrt y) (/ (- z t) (- z a)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-r`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `associate-*r/` `div-exp`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`flip3--` `flip--` `div-inv`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
15.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))
15.0ms	(* (cbrt y) (/ (- z t) (- z a)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt y)
26.0ms	(cbrt y)
18.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- z a))))
52.0ms	(* (cbrt y) (/ (- z t) (- z a)))

simplify47.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	403	829
1	1711	675
2	5002	627

prune106.0ms

Filtered

73 candidates to 116 candidates (-58.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	116	6	122

Merged error: 0b

Counts

122 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(/ 1 (- z a))
11.4b	(* (* y (- z t)) (/ 1 (- z a)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
31×	`add-exp-log`
30×	`times-frac`
26×	`associate-r`
24×	`add-cube-cbrt`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`associate-*r/` `cbrt-unprod`
6×	`div-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`associate-l` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `add-log-exp`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `associate-l/` `-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `un-div-inv` `inv-pow` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

6.0ms	(* y (- z t))
5.0ms	(/ 1 (- z a))
13.0ms	(* (* y (- z t)) (/ 1 (- z a)))

series25.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* y (- z t))
4.0ms	(/ 1 (- z a))
15.0ms	(* (* y (- z t)) (/ 1 (- z a)))

simplify52.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	426	633
1	2357	536
2	5002	493

prune101.0ms

Filtered

66 candidates to 126 candidates (-90.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	126	6	132

Merged error: 0b

Counts

132 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* y (sqrt (/ (- z t) (- z a)))) (sqrt (/ (- z t) (- z a))))
0.1b	(* y (sqrt (/ (- z t) (- z a))))
3.5b	(sqrt (/ (- z t) (- z a)))
3.5b	(sqrt (/ (- z t) (- z a)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

144×	`add-sqr-sqrt`
131×	`*-un-lft-identity`
126×	`sqrt-prod`
103×	`times-frac`
68×	`associate-r`
51×	`add-cube-cbrt`
40×	`distribute-lft-out--` `difference-of-squares`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
7×	`sqrt-div`
4×	`rem-sqrt-square` `flip3--` `associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `*-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 190

Calls

4 calls:

27.0ms	(* (* y (sqrt (/ (- z t) (- z a)))) (sqrt (/ (- z t) (- z a))))
16.0ms	(* y (sqrt (/ (- z t) (- z a))))
8.0ms	(sqrt (/ (- z t) (- z a)))
8.0ms	(sqrt (/ (- z t) (- z a)))

series96.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (* y (sqrt (/ (- z t) (- z a)))) (sqrt (/ (- z t) (- z a))))
21.0ms	(* y (sqrt (/ (- z t) (- z a))))
33.0ms	(sqrt (/ (- z t) (- z a)))
26.0ms	(sqrt (/ (- z t) (- z a)))

simplify119.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	459	1730
1	1701	1594
2	4594	1564
3	5002	1552

prune160.0ms

Filtered

133 candidates to 202 candidates (-51.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	202	6	208

Merged error: 0b

Counts

208 → 6

regimes669.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample3.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 2.233887%

Guaranteed chance to sample good point: 47.415408%

Results

351.0ms	7996×	body	80	valid
29.0ms	717×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample2.8s

simplify52.0ms

prune8.0ms

localize8.0ms

rewrite25.0ms

series23.0ms

simplify38.0ms

prune142.0ms

localize14.0ms

rewrite36.0ms

series128.0ms

simplify47.0ms

prune106.0ms

localize12.0ms

rewrite28.0ms

series25.0ms

simplify52.0ms

prune101.0ms

localize12.0ms

rewrite69.0ms

series96.0ms

simplify119.0ms

prune160.0ms

regimes669.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.4s

Profiling