Details

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify67.0ms

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

localize9.0ms

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)))

rewrite477.0ms

Algorithm

rewrite-expression-head

Rules

1258×	`*-un-lft-identity`
981×	`associate-/l*`
918×	`add-sqr-sqrt`
722×	`frac-times`
625×	`times-frac`
596×	`add-cube-cbrt`
521×	`associate-l`
483×	`associate-r`
329×	`associate-/r*`
277×	`distribute-lft-out`
180×	`swap-sqr`
155×	`unswap-sqr`
127×	`*-commutative`
84×	`clear-num`
83×	`add-exp-log` `add-cbrt-cube`
82×	`frac-2neg`
38×	`associate-r/` `associate-l/`
31×	`prod-exp` `cbrt-unprod`
27×	`cbrt-undiv` `div-exp`
20×	`associate-/r/`
18×	`pow1`
11×	`flip3-+` `flip-+`
10×	`div-inv`
6×	`un-div-inv`
4×	`add-log-exp`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `pow-prod-up` `associate-/l/`

Counts

4 → 1411

Calls

4 calls:

10.0ms	(/ (* 2.0 t) (+ 1.0 t))
200.0ms	(/ (+ 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)))))
79.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
82.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (* 2.0 t) (+ 1.0 t))
122.0ms	(/ (+ 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)))))
54.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
48.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify210.0ms

Algorithm

egg-herbie

Counts

1423 → 1423

Iterations

Useful iterations: 1 (53.0ms)

Iter	Nodes	Cost
0	2597	15292
1	5001	14700

prune1.8s

Filtered

1423 candidates to 556 candidates (39.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1421	2	1423
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1422	2	1424

Merged error: 0b

Counts

1424 → 2

localize13.0ms

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	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
1.7b	(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

rewrite743.0ms

Algorithm

rewrite-expression-head

Rules

1803×	`*-un-lft-identity`
1255×	`add-sqr-sqrt`
1104×	`times-frac`
964×	`associate-/l*`
791×	`add-cube-cbrt`
746×	`associate-l`
722×	`frac-times`
696×	`associate-r`
424×	`exp-prod`
400×	`distribute-lft-out`
360×	`swap-sqr`
320×	`associate-/r*`
220×	`unswap-sqr`
214×	`log-pow`
164×	`*-commutative`
82×	`clear-num`
80×	`frac-2neg`
77×	`add-exp-log`
76×	`add-cbrt-cube`
38×	`associate-r/` `associate-l/`
32×	`associate-/r/`
30×	`prod-exp` `cbrt-unprod`
24×	`cbrt-undiv` `div-exp`
19×	`pow1`
16×	`flip3-+` `flip-+` `div-inv`
7×	`add-log-exp`
6×	`un-div-inv`
3×	`log-prod`
2×	`pow2` `exp-to-pow` `pow-plus` `rem-log-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`rem-exp-log`

Counts

4 → 1727

Calls

4 calls:

290.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
87.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
123.0ms	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
93.0ms	(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

series234.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (/ (* 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)))
76.0ms	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
56.0ms	(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

simplify236.0ms

Algorithm

egg-herbie

Counts

1739 → 1739

Iterations

Useful iterations: 1 (57.0ms)

Iter	Nodes	Cost
0	2788	16747
1	5001	15957

prune2.5s

Filtered

1739 candidates to 716 candidates (41.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	1738	1	1739
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	1739	2	1741

Merged error: 0b

Counts

1741 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
0.5b	(* (cbrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))) (cbrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
1.8b	(log (* (cbrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))) (cbrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))))
2.2b	(log (cbrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))

rewrite485.0ms

Algorithm

rewrite-expression-head

Rules

352×	`*-un-lft-identity`
276×	`times-frac`
232×	`add-sqr-sqrt`
212×	`exp-prod`
140×	`add-cube-cbrt`
138×	`associate-l`
126×	`associate-r`
102×	`swap-sqr`
80×	`distribute-lft-out`
43×	`unswap-sqr`
35×	`cbrt-prod`
33×	`log-prod`
23×	`*-commutative`
20×	`pow1`
13×	`pow1/3`
11×	`log-pow`
10×	`add-exp-log`
8×	`associate-/r/` `add-cbrt-cube`
6×	`add-log-exp`
4×	`flip3-+` `pow-prod-down` `pow-sqr` `pow-prod-up` `cbrt-unprod` `flip-+` `div-inv`
3×	`rem-log-exp`
2×	`pow2` `pow-plus` `prod-exp`
1×	`exp-to-pow` `rem-exp-log`

Counts

4 → 325

Calls

4 calls:

111.0ms	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
133.0ms	(* (cbrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))) (cbrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
147.0ms	(log (* (cbrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))) (cbrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))))
66.0ms	(log (cbrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

77.0ms	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
274.0ms	(* (cbrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))) (cbrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))
433.0ms	(log (* (cbrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))) (cbrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))))
321.0ms	(log (cbrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))))

simplify142.0ms

Algorithm

egg-herbie

Counts

337 → 337

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1087	4298
1	4966	3724
2	5002	3724

prune999.0ms

Filtered

337 candidates to 201 candidates (59.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	337	0	337
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	337	2	339

Merged error: 0b

Counts

339 → 2

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	19
1	16	19

end0.0ms

sample313.0ms

Algorithm

intervals

Results

228.0ms

8000×

body

valid