Details

sample26.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	17
1	44	17
2	126	17
3	328	17
4	602	17
5	780	17
6	1010	17
7	1482	17
8	5001	17

prune3.0ms

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: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-exp-log` `add-cbrt-cube`
56×	`*-un-lft-identity`
49×	`times-frac`
32×	`add-sqr-sqrt`
30×	`prod-exp` `cbrt-unprod`
28×	`add-cube-cbrt`
25×	`cbrt-undiv` `div-exp`
24×	`swap-sqr`
20×	`associate-r` `associate-l`
18×	`pow1` `associate-/r/`
12×	`distribute-lft-out`
11×	`flip3-+` `flip-+`
9×	`div-inv`
6×	`add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `clear-num` `sum-log`

Counts

4 → 176

Calls

4 calls:

5.0ms	(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 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)))))
15.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
15.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 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)))

simplify89.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	628	2260
1	3153	1815
2	5002	1770

prune320.0ms

Filtered

114 candidates to 188 candidates (-64.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	186	2	188
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	186	3	189

Merged error: 0b

Counts

189 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

117×	`add-exp-log` `add-cbrt-cube`
85×	`*-un-lft-identity`
82×	`times-frac`
65×	`add-sqr-sqrt`
54×	`associate-r`
47×	`prod-exp` `cbrt-unprod`
43×	`add-cube-cbrt`
37×	`cbrt-undiv` `div-exp`
36×	`swap-sqr` `associate-l`
27×	`pow1`
26×	`associate-/r/`
18×	`distribute-lft-out`
17×	`sqrt-prod`
15×	`flip3-+` `flip-+`
13×	`div-inv`
9×	`unswap-sqr`
5×	`frac-times` `associate-*l/`
4×	`sqrt-div` `associate-r/` `pow-prod-down` `-commutative` `add-log-exp`
3×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 255

Calls

4 calls:

17.0ms	(* (sqrt (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))) (/ (sqrt (+ 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))))))
15.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
15.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
15.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify109.0ms

Algorithm

egg-herbie

Counts

267 → 267

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	725	3719
1	3687	2909
2	5001	2830

prune648.0ms

Filtered

148 candidates to 267 candidates (-80.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	267	0	267
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	267	3	270

Merged error: 0b

Counts

270 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
0.6b	(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
1.0b	(log (exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
41×	`add-exp-log`
40×	`add-cbrt-cube`
39×	`unpow-prod-down`
34×	`exp-prod`
32×	`times-frac`
30×	`sqrt-prod`
27×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
18×	`log-pow`
15×	`prod-exp` `cbrt-unprod`
14×	`pow1` `associate-/r/`
12×	`cbrt-undiv` `swap-sqr` `div-exp`
10×	`associate-r` `associate-l`
9×	`distribute-lft-out`
7×	`flip3-+` `flip-+` `div-inv`
5×	`add-log-exp`
3×	`pow-unpow` `log-prod` `pow-pow` `sqr-pow`
1×	`pow2` `frac-times` `pow-to-exp` `sqrt-pow1` `pow-plus` `pow1/2` `associate-r/` `rem-log-exp` `pow-prod-down` `associate-l/` `pow-exp` `pow-sqr` `*-commutative` `pow-prod-up` `sqrt-pow2` `rem-exp-log` `unswap-sqr`

Counts

4 → 151

Calls

4 calls:

15.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
10.0ms	(exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
7.0ms	(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
8.0ms	(log (exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
14.0ms	(exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
14.0ms	(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)
15.0ms	(log (exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))

simplify105.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	822	1442
1	3873	1175
2	5002	1131

prune366.0ms

Filtered

108 candidates to 163 candidates (-50.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	163	3	166

Merged error: 0b

Counts

166 → 3

regimes117.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	14	17

end0.0ms

sample714.0ms

Algorithm

intervals

Results

584.0ms

8000×

body

valid

Details

sample26.0ms

simplify64.0ms

prune3.0ms

localize8.0ms

rewrite49.0ms

series17.0ms

simplify89.0ms

prune320.0ms

localize11.0ms

rewrite73.0ms

series17.0ms

simplify109.0ms

prune648.0ms

localize15.0ms

rewrite45.0ms

series45.0ms

simplify105.0ms

prune366.0ms

regimes117.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample714.0ms

Profiling