Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify65.0ms

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

prune2.0ms

Filtered

1 candidates to 0 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 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 165

Calls

3 calls:

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)))))

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)))

series210.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms

(/ (+ 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)))))

47.0ms

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

50.0ms

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

simplify85.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	597	2088
1	3042	1672
2	5001	1631

prune226.0ms

Filtered

174 candidates to 102 candidates (58.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	170	4	174
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	171	4	175

Merged error: 0b

Counts

175 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (/ (+ 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	(/ (+ 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)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-exp-log` `add-cbrt-cube`
64×	`*-un-lft-identity`
58×	`times-frac`
40×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
30×	`prod-exp` `cbrt-unprod`
25×	`cbrt-undiv` `div-exp`
24×	`swap-sqr`
20×	`associate-r` `associate-l` `associate-/r/`
19×	`pow1`
16×	`log-pow`
15×	`exp-prod`
12×	`distribute-lft-out`
11×	`flip3-+` `flip-+`
10×	`div-inv`
4×	`add-log-exp`
3×	`log-prod` `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×	`frac-2neg` `rem-log-exp` `clear-num`

Counts

4 → 192

Calls

4 calls:

8.0ms	(log (exp (/ (+ 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)))))))
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)))))
18.0ms	(* (/ (* 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)))

series331.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(log (exp (/ (+ 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)))))))
118.0ms	(/ (+ 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)))))
49.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
46.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify95.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	649	2705
1	3119	2232
2	5001	2180

prune352.0ms

Filtered

204 candidates to 127 candidates (62.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	204	4	208

Merged error: 0b

Counts

208 → 4

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	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.5b	(pow (/ (+ 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)
1.0b	(cbrt (pow (/ (+ 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))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-exp-log` `add-cbrt-cube`
78×	`*-un-lft-identity`
76×	`times-frac`
54×	`add-sqr-sqrt`
50×	`add-cube-cbrt`
36×	`cbrt-prod`
30×	`unpow-prod-down` `cube-prod` `prod-exp` `cbrt-unprod`
25×	`cbrt-undiv` `div-exp`
24×	`swap-sqr` `associate-/r/`
20×	`associate-r` `associate-l`
19×	`pow1`
12×	`flip3-+` `flip-+` `div-inv` `distribute-lft-out`
4×	`add-log-exp`
3×	`pow-unpow`
2×	`cube-div` `pow2` `cube-mult` `frac-times` `pow-plus` `unpow3` `associate-r/` `pow-prod-down` `associate-l/` `pow-exp` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `pow1/3` `rem-cbrt-cube`

Counts

4 → 230

Calls

4 calls:

15.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
16.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
7.0ms	(pow (/ (+ 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)
8.0ms	(cbrt (pow (/ (+ 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))

series376.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
45.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
147.0ms	(pow (/ (+ 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)
121.0ms	(cbrt (pow (/ (+ 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))

simplify142.0ms

Algorithm

egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	834	4300
1	4263	3745
2	5002	3711

prune337.0ms

Filtered

242 candidates to 121 candidates (50.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	242	4	246

Merged error: 0b

Counts

246 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
0.0b	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.4b	(log (exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))
0.6b	(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)

rewrite49.0ms

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:

8.0ms	(exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
15.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
12.0ms	(log (exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))
8.0ms	(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)

series705.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4))
49.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
197.0ms	(log (exp (pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)))
197.0ms	(pow (sqrt (/ (* 2.0 t) (+ 1.0 t))) 4)

simplify98.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	778	1380
1	3591	1107
2	5001	1063

prune389.0ms

Filtered

163 candidates to 108 candidates (66.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	164	3	167

Merged error: 0b

Counts

167 → 3

regimes84.0ms

Accuracy

0% (0.0b 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	18	16
1	18	16

end0.0ms

sample318.0ms

Algorithm

intervals

Results

230.0ms

8000×

body

valid