Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (22.0ms)

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

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)))

rewrite464.0ms

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:

10.0ms	(/ (* 2.0 t) (+ 1.0 t))
190.0ms	(/ (+ 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)))
81.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (* 2.0 t) (+ 1.0 t))
137.0ms	(/ (+ 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)))))
51.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
58.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify237.0ms

Algorithm

egg-herbie

Counts

1431 → 1431

Iterations

Useful iterations: 1 (65.0ms)

Iter	Nodes	Cost
0	2612	15367
1	5001	14793

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

localize12.0ms

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	(* (/ (* 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)))
2.6b	(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

rewrite480.0ms

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:

105.0ms	(exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))
73.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
73.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
82.0ms	(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

series230.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(exp (* (/ (* 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)))
51.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
57.0ms	(log (exp (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))

simplify271.0ms

Algorithm

egg-herbie

Counts

1747 → 1747

Iterations

Useful iterations: 1 (65.0ms)

Iter	Nodes	Cost
0	2799	16823
1	5001	16075

prune2.2s

Filtered

1747 candidates to 726 candidates (41.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

1749 → 2

localize14.0ms

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	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.1b	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))

rewrite34.7s

Algorithm

rewrite-expression-head

Rules

453653×	`frac-times`
389938×	`associate-/l*`
201614×	`*-un-lft-identity`
197366×	`add-sqr-sqrt`
130484×	`add-cube-cbrt`
129440×	`associate-/r*`
99729×	`associate-l`
98330×	`associate-r`
33704×	`distribute-lft-out`
33410×	`unswap-sqr`
33169×	`clear-num`
32596×	`*-commutative`
32360×	`frac-2neg`
15773×	`associate-r/` `associate-l/`
4108×	`times-frac`
2427×	`un-div-inv`
2172×	`swap-sqr`
852×	`add-exp-log` `add-cbrt-cube`
445×	`prod-exp` `cbrt-unprod`
276×	`cbrt-undiv` `div-exp`
136×	`pow1`
56×	`associate-/r/`
39×	`pow-prod-up`
28×	`flip3-+` `flip-+` `div-inv`
26×	`pow-prod-down`
25×	`pow-sqr`
21×	`pow-plus`
16×	`pow2`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

4 → 165914

Calls

4 calls:

75.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
75.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
85.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
4.4s	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))

series228.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
52.0ms	(* (/ (* 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)))
67.0ms	(* (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))) (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t))))

simplify57.6s

Algorithm

egg-herbie

Counts

165926 → 165926

Iterations

Useful iterations: 0 (5.6s)

Iter	Nodes	Cost
0	129505	3999313

prune7.0m

Filtered

165926 candidates to 86105 candidates (51.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	165926	0	165926
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	165926	2	165928

Merged error: 0b

Counts

165928 → 2

regimes31.0ms

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

sample284.0ms

Algorithm

intervals

Results

204.0ms

8000×

body

valid

Details

sample15.0ms

simplify77.0ms

prune5.0ms

localize9.0ms

rewrite464.0ms

series291.0ms

simplify237.0ms

prune1.6s

localize12.0ms

rewrite480.0ms

series230.0ms

simplify271.0ms

prune2.2s

localize14.0ms

rewrite34.7s

series228.0ms

simplify57.6s

prune7.0m

regimes31.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample284.0ms

end1.3m