Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample25.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5007	35

prune7.0ms

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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* 2.0 t) (+ 1.0 t))
0.0b	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-exp-log` `add-cbrt-cube`
62×	`*-un-lft-identity`
53×	`times-frac`
34×	`add-sqr-sqrt`
31×	`prod-exp` `cbrt-unprod`
30×	`add-cube-cbrt`
27×	`cbrt-undiv` `div-exp`
24×	`swap-sqr`
20×	`associate-r` `associate-l` `associate-/r/`
18×	`pow1`
14×	`distribute-lft-out`
11×	`flip3-+` `flip-+`
10×	`div-inv`
7×	`associate-/r*`
4×	`associate-/l*` `add-log-exp`
2×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/` `unswap-sqr`

Counts

4 → 190

Calls

4 calls:

6.0ms	(/ (* 2.0 t) (+ 1.0 t))
8.0ms	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
17.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
14.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series16.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* 2.0 t) (+ 1.0 t))
7.0ms	(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
3.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
3.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5014	3080

prune373.0ms

Filtered

128 candidates to 202 candidates (-57.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	200	2	202
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	202	2	204

Merged error: 0.0b

Counts

204 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.1b	(* (/ 2.0 (+ t 1.0)) t)
0.1b	(pow (* (/ 2.0 (+ t 1.0)) t) 6)
12.7b	(cbrt (pow (* (/ 2.0 (+ t 1.0)) t) 6))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
45×	`add-cbrt-cube`
43×	`*-un-lft-identity`
33×	`times-frac`
30×	`add-sqr-sqrt`
28×	`associate-l`
23×	`add-cube-cbrt`
19×	`prod-exp`
17×	`cbrt-unprod`
16×	`pow1`
14×	`div-exp`
13×	`cbrt-undiv` `associate-r`
12×	`swap-sqr`
10×	`associate-/r/`
9×	`distribute-lft-out`
5×	`cbrt-prod` `flip3-+` `flip-+` `div-inv`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `pow-exp` `unswap-sqr`
2×	`unpow-prod-down` `pow-pow` `associate-l/` `-commutative` `sqr-pow`
1×	`pow2` `frac-times` `pow-to-exp` `pow-plus` `pow1/3` `associate-*r/` `pow-sqr` `pow-prod-up`

Counts

4 → 135

Calls

4 calls:

14.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
8.0ms	(* (/ 2.0 (+ t 1.0)) t)
7.0ms	(pow (* (/ 2.0 (+ t 1.0)) t) 6)
2.0ms	(cbrt (pow (* (/ 2.0 (+ t 1.0)) t) 6))

series13.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
3.0ms	(* (/ 2.0 (+ t 1.0)) t)
4.0ms	(pow (* (/ 2.0 (+ t 1.0)) t) 6)
4.0ms	(cbrt (pow (* (/ 2.0 (+ t 1.0)) t) 6))

simplify54.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5631	1589

prune254.0ms

Filtered

97 candidates to 147 candidates (-51.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	146	3	149

Merged error: 0b

Counts

149 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(pow (* t (/ 2.0 (+ t 1.0))) 2)
0.1b	(* t (/ 2.0 (+ t 1.0)))
1.7b	(log (exp (pow (* t (/ 2.0 (+ t 1.0))) 2)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
45×	`add-cbrt-cube`
44×	`*-un-lft-identity`
33×	`times-frac`
31×	`add-sqr-sqrt`
28×	`associate-r`
24×	`add-cube-cbrt`
19×	`prod-exp`
17×	`pow1` `cbrt-unprod`
14×	`div-exp`
13×	`cbrt-undiv` `associate-l`
12×	`swap-sqr`
10×	`associate-/r/`
9×	`distribute-lft-out`
7×	`log-pow`
6×	`exp-prod`
5×	`flip3-+` `flip-+` `div-inv`
4×	`add-log-exp`
3×	`pow-unpow` `log-prod` `pow-prod-down` `pow-exp` `unswap-sqr`
2×	`unpow-prod-down` `pow-pow` `associate-r/` `-commutative` `unpow2` `sqr-pow`
1×	`pow2` `frac-times` `pow-to-exp` `pow-plus` `rem-log-exp` `associate-*l/` `pow-sqr` `pow-prod-up`

Counts

4 → 141

Calls

4 calls:

17.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
7.0ms	(pow (* t (/ 2.0 (+ t 1.0))) 2)
9.0ms	(* t (/ 2.0 (+ t 1.0)))
3.0ms	(log (exp (pow (* t (/ 2.0 (+ t 1.0))) 2)))

series13.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
3.0ms	(pow (* t (/ 2.0 (+ t 1.0))) 2)
3.0ms	(* t (/ 2.0 (+ t 1.0)))
4.0ms	(log (exp (pow (* t (/ 2.0 (+ t 1.0))) 2)))

simplify37.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5021	1632

prune272.0ms

Filtered

99 candidates to 153 candidates (-54.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	153	3	156

Merged error: 0b

Counts

156 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 2.0 (+ t 1.0)) t)
0.1b	(* (/ 2.0 (+ t 1.0)) t)
0.6b	(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)
0.6b	(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`add-sqr-sqrt` `associate-l`
26×	`add-cube-cbrt` `times-frac`
16×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
8×	`unpow-prod-down` `pow-pow`
6×	`pow-unpow` `associate-r` `distribute-lft-out`
4×	`sqrt-pow1` `pow-prod-down` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `pow-to-exp` `flip3-+` `pow1/2` `div-exp` `associate-l/` `pow-exp` `sqrt-prod` `-commutative` `sqrt-pow2` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 118

Calls

4 calls:

8.0ms	(* (/ 2.0 (+ t 1.0)) t)
8.0ms	(* (/ 2.0 (+ t 1.0)) t)
8.0ms	(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)
8.0ms	(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)

series37.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (/ 2.0 (+ t 1.0)) t)
3.0ms	(* (/ 2.0 (+ t 1.0)) t)
14.0ms	(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)
17.0ms	(pow (sqrt (* (/ 2.0 (+ t 1.0)) t)) 4)

simplify52.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4998	1278
1	4998	1278

prune277.0ms

Filtered

96 candidates to 130 candidates (-35.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	130	3	133

Merged error: 0b

Counts

133 → 3

regimes28.0ms

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	20	30
1	20	30

end0.0ms

sample883.0ms

Algorithm

intervals

Results

791.0ms

8000×

body

valid

Details

analyze5.0ms

sample25.0ms

simplify44.0ms

prune7.0ms

localize8.0ms

rewrite53.0ms

series16.0ms

simplify58.0ms

prune373.0ms

localize15.0ms

rewrite37.0ms

series13.0ms

simplify54.0ms

prune254.0ms

localize16.0ms

rewrite41.0ms

series13.0ms

simplify37.0ms

prune272.0ms

localize13.0ms

rewrite35.0ms

series37.0ms

simplify52.0ms

prune277.0ms

regimes28.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample883.0ms

Profiling