Details

analyze908.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14

sample28.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	85	11
1	85	11

prune12.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.7b	(* y (/ (- z t) (- a t)))

rewrite29.0ms

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:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
8.0ms	(/ (- z t) (- a t))
14.0ms	(* y (/ (- z t) (- a t)))

series57.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ x (* y (/ (- z t) (- a t))))
10.0ms	(/ (- z t) (- a t))
19.0ms	(* y (/ (- z t) (- a t)))

simplify67.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4988	1368
1	4988	1368

prune141.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	115	9	124

Merged error: 0.0b

Counts

124 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
7.0b	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
50×	`times-frac`
46×	`associate-r`
42×	`cbrt-prod`
28×	`add-cube-cbrt`
25×	`add-exp-log`
20×	`cbrt-div`
18×	`add-cbrt-cube`
16×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 136

Calls

4 calls:

3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
32.0ms	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

series110.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt (- a t))
26.0ms	(cbrt (- a t))
26.0ms	(cbrt (- a t))
30.0ms	(* (/ y (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t))))

simplify76.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4955	2005
1	4955	2005

prune180.0ms

Filtered

112 candidates to 148 candidates (-32.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	149	8	157

Merged error: 0b

Counts

157 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
0.0b	(+ x (pow (* (/ y (- a t)) (- z t)) 1))
11.2b	(* (/ y (- a t)) (- z t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
41×	`*-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×	`flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `frac-times` `sub-neg` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out`

Counts

3 → 97

Calls

3 calls:

5.0ms	(/ y (- a t))
4.0ms	(+ x (pow (* (/ y (- a t)) (- z t)) 1))
12.0ms	(* (/ y (- a t)) (- z t))

series71.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ y (- a t))
34.0ms	(+ x (pow (* (/ y (- a t)) (- z t)) 1))
29.0ms	(* (/ y (- a t)) (- z t))

simplify45.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5216	1095

prune130.0ms

Filtered

80 candidates to 106 candidates (-32.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	106	8	114

Merged error: 0b

Counts

114 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
0.6b	(* (cbrt (- z t)) (cbrt (- z t)))
6.2b	(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- a t)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
63×	`cbrt-prod`
54×	`associate-r`
40×	`cbrt-div` `times-frac`
33×	`add-cube-cbrt`
27×	`add-exp-log`
23×	`associate-*r/`
21×	`flip3--` `flip--` `distribute-lft-out--`
20×	`pow1` `frac-times`
19×	`difference-of-squares`
18×	`add-cbrt-cube`
14×	`associate-*l/`
13×	`prod-exp` `cbrt-unprod`
10×	`swap-sqr`
9×	`associate-l`
8×	`pow1/3` `pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus` `div-inv`

Counts

4 → 173

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
10.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
25.0ms	(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- a t)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt (- z t))
26.0ms	(cbrt (- z t))
34.0ms	(* (cbrt (- z t)) (cbrt (- z t)))
17.0ms	(* (* y (* (cbrt (- z t)) (cbrt (- z t)))) (/ (cbrt (- z t)) (- a t)))

simplify81.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4952	2432
1	4952	2432

prune163.0ms

Filtered

113 candidates to 185 candidates (-63.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	185	8	193

Merged error: 0b

Counts

193 → 8

regimes612.0ms

Accuracy

47.4% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.3b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	53
1	33	53

end0.0ms

analyze902.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14

sample591.0ms

Algorithm

intervals

Results

301.0ms	7997×	body	80	valid
25.0ms	724×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze908.0ms

sample28.0ms

simplify5.0ms

prune12.0ms

localize8.0ms

rewrite29.0ms

series57.0ms

simplify67.0ms

prune141.0ms

localize13.0ms

rewrite47.0ms

series110.0ms

simplify76.0ms

prune180.0ms

localize10.0ms

rewrite24.0ms

series71.0ms

simplify45.0ms

prune130.0ms

localize15.0ms

rewrite50.0ms

series104.0ms

simplify81.0ms

prune163.0ms

regimes612.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

analyze902.0ms

sample591.0ms

Profiling