Details

sample26.0ms

Algorithm

intervals

Results

19.0ms

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

prune6.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-exp-log` `add-cbrt-cube`
48×	`*-un-lft-identity`
40×	`times-frac`
30×	`prod-exp` `cbrt-unprod`
24×	`cbrt-undiv` `add-sqr-sqrt` `swap-sqr` `div-exp`
20×	`add-cube-cbrt` `associate-r` `associate-l`
18×	`pow1`
16×	`associate-/r/`
12×	`distribute-lft-out`
10×	`flip3-+` `flip-+`
8×	`div-inv` `add-log-exp`
2×	`+-commutative` `pow2` `frac-times` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`

Counts

4 → 156

Calls

4 calls:

3.0ms	(+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
3.0ms	(+ 2.0 (* (/ (* 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)))
15.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series14.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify80.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	542	1582
1	2752	1184
2	5001	1142

prune254.0ms

Filtered

168 candidates to 98 candidates (41.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	166	2	168
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	166	3	169

Merged error: 0b

Counts

169 → 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	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))
0.0b	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

133×	`add-exp-log`
91×	`add-cbrt-cube`
70×	`*-un-lft-identity`
60×	`times-frac`
54×	`prod-exp`
46×	`associate-l`
43×	`add-sqr-sqrt`
42×	`div-exp`
35×	`cbrt-unprod`
32×	`add-cube-cbrt`
30×	`associate-r`
28×	`cbrt-undiv`
26×	`associate-/r/`
24×	`swap-sqr`
21×	`unpow-prod-down` `cube-prod`
20×	`pow1`
17×	`distribute-lft-out`
13×	`flip3-+` `flip-+` `div-inv`
12×	`pow-exp`
6×	`unswap-sqr`
4×	`pow-to-exp` `add-log-exp`
3×	`cube-div` `frac-times` `pow-unpow` `pow-plus` `associate-r/` `associate-l/` `*-commutative` `pow-prod-up` `rem-cube-cbrt` `sqr-pow`
2×	`pow2` `cube-mult` `unpow3` `pow-prod-down` `pow-sqr`
1×	`pow-pow`

Counts

4 → 247

Calls

4 calls:

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)))
20.0ms	(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))
8.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)

series15.0ms

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)) (/ (* 2.0 t) (+ 1.0 t)))
5.0ms	(* (pow (/ (* 2.0 t) (+ 1.0 t)) 3) (/ (* 2.0 t) (+ 1.0 t)))
4.0ms	(pow (/ (* 2.0 t) (+ 1.0 t)) 3)

simplify52.0ms

Algorithm

egg-herbie

Counts

259 → 259

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	801	1786
1	5001	1538

prune591.0ms

Filtered

259 candidates to 135 candidates (47.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	259	0	259
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	259	3	262

Merged error: 0b

Counts

262 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ 1.0 t)) (cbrt (+ 1.0 t)))
0.3b	(cbrt (+ 1.0 t))
0.3b	(cbrt (+ 1.0 t))
0.3b	(cbrt (+ 1.0 t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

10.0ms	(* (cbrt (+ 1.0 t)) (cbrt (+ 1.0 t)))
3.0ms	(cbrt (+ 1.0 t))
3.0ms	(cbrt (+ 1.0 t))
3.0ms	(cbrt (+ 1.0 t))

series27.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (cbrt (+ 1.0 t)) (cbrt (+ 1.0 t)))
6.0ms	(cbrt (+ 1.0 t))
6.0ms	(cbrt (+ 1.0 t))
6.0ms	(cbrt (+ 1.0 t))

simplify139.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (129.0ms)

Iter	Nodes	Cost
0	320	874
1	1036	833
2	4505	694
3	5001	690

prune258.0ms

Filtered

107 candidates to 72 candidates (32.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0b

Counts

110 → 3

regimes126.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	14	17

end0.0ms

sample737.0ms

Algorithm

intervals

Results

611.0ms

8000×

body

valid

Details

sample26.0ms

simplify65.0ms

prune6.0ms

localize10.0ms

rewrite43.0ms

series14.0ms

simplify80.0ms

prune254.0ms

localize16.0ms

rewrite69.0ms

series15.0ms

simplify52.0ms

prune591.0ms

localize17.0ms

rewrite22.0ms

series27.0ms

simplify139.0ms

prune258.0ms

regimes126.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample737.0ms

Profiling