Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (19.0ms)

Iter	Nodes	Cost
0	20	17
1	46	17
2	128	17
3	340	17
4	662	17
5	897	15
6	1179	15
7	1753	15
8	5001	15

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

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)))

rewrite673.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `pow-prod-up` `associate-/l/`

Counts

4 → 1419

Calls

4 calls:

14.0ms	(/ (* 2.0 t) (+ 1.0 t))
402.0ms	(/ (+ 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)))))
76.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
80.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (* 2.0 t) (+ 1.0 t))
115.0ms	(/ (+ 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)))))
48.0ms	(* (/ (* 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)))

simplify212.0ms

Algorithm

egg-herbie

Counts

1431 → 1431

Iterations

Useful iterations: 1 (52.0ms)

Iter	Nodes	Cost
0	2615	15366
1	5001	14743

prune1.6s

Filtered

1431 candidates to 566 candidates (39.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1429	2	1431
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1430	2	1432

Merged error: 0b

Counts

1432 → 2

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	(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)))))

rewrite502.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u`
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 → 1735

Calls

4 calls:

78.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
77.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
111.0ms	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
83.0ms	(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (/ (* 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)))
73.0ms	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
59.0ms	(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

simplify240.0ms

Algorithm

egg-herbie

Counts

1747 → 1747

Iterations

Useful iterations: 1 (55.0ms)

Iter	Nodes	Cost
0	2800	16813
1	5001	16069

prune2.7s

Filtered

1747 candidates to 726 candidates (41.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	1746	1	1747
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	1747	2	1749

Merged error: 0b

Counts

1749 → 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))))
0.0b	(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))))))
1.7b	(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)))))) (cbrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))))

rewrite601.0ms

Algorithm

rewrite-expression-head

Rules

682×	`*-un-lft-identity`
552×	`times-frac`
470×	`add-sqr-sqrt`
424×	`exp-prod`
291×	`associate-l`
258×	`add-cube-cbrt`
246×	`associate-r`
196×	`swap-sqr`
160×	`distribute-lft-out`
104×	`unswap-sqr`
56×	`cbrt-prod` `log-prod`
48×	`*-commutative`
31×	`pow1`
16×	`associate-/r/` `log-pow`
15×	`pow1/3`
12×	`add-exp-log`
11×	`pow-prod-up`
8×	`flip3-+` `add-cbrt-cube` `flip-+` `div-inv` `add-log-exp`
7×	`pow-plus` `pow-prod-down`
5×	`pow-sqr`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`pow2` `rem-log-exp`
2×	`exp-to-pow` `pow3` `rem-exp-log`

Counts

4 → 575

Calls

4 calls:

110.0ms	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
110.0ms	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
129.0ms	(* (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))))))
200.0ms	(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)))))) (cbrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))))

series457.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
75.0ms	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
258.0ms	(* (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))))))
49.0ms	(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)))))) (cbrt (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))))

simplify100.0ms

Algorithm

egg-herbie

Counts

587 → 587

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1187	7857
1	5001	6967

prune1.6s

Filtered

587 candidates to 327 candidates (55.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	587	0	587
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	587	2	589

Merged error: 0b

Counts

589 → 2

regimes35.0ms

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	16	19
1	16	19

end0.0ms

sample341.0ms

Algorithm

intervals

Results

250.0ms

8000×

body

valid