Details

sample138.0ms

Algorithm

intervals

Results

58.0ms	102×	body	1280	valid
28.0ms	78×	body	640	valid
26.0ms	295×	body	80	nan
10.0ms	46×	body	320	valid
5.0ms	24×	body	160	valid
0.0ms	6×	body	80	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	23
3	23
2	20
1	15
0	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
5.8b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `associate-/r/`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 94

Calls

2 calls:

30.0ms	(/ (- 1 eps) (+ 1 eps))
12.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series167.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (- 1 eps) (+ 1 eps))
131.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify1.2s

Counts

100 → 100

Iterations

Iter	Nodes
3	2199
2	794
1	365
0	158

prune850.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* -2/3 (* (* eps eps) eps)) (+ (* 2/5 (pow eps 5)) (* 2 eps)))
0.1b	(* 2/5 (pow eps 5))
0.1b	(* (* eps eps) eps)
0.1b	(* -2/3 (* (* eps eps) eps))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-r`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
7×	`associate-l`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`pow2` `diff-log` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `sum-log` `sub-neg` `flip3--` `pow3` `pow-exp` `flip--` `associate--r+`

Counts

4 → 92

Calls

4 calls:

86.0ms	(- (* -2/3 (* (* eps eps) eps)) (+ (* 2/5 (pow eps 5)) (* 2 eps)))
19.0ms	(* 2/5 (pow eps 5))
18.0ms	(* (* eps eps) eps)
49.0ms	(* -2/3 (* (* eps eps) eps))

series281.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (* -2/3 (* (* eps eps) eps)) (+ (* 2/5 (pow eps 5)) (* 2 eps)))
75.0ms	(* 2/5 (pow eps 5))
49.0ms	(* (* eps eps) eps)
59.0ms	(* -2/3 (* (* eps eps) eps))

simplify1.9s

Counts

104 → 104

Iterations

Iter	Nodes
3	4021
2	1022
1	348
0	137

prune938.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* (* eps eps) (* eps eps)) eps) -2/5)
0.1b	(* (* -2/3 (* eps eps)) eps)
0.1b	(* (* eps eps) (* eps eps))
0.2b	(* -2/3 (* eps eps))

rewrite395.0ms

Algorithm

rewrite-expression-head

Rules

154×	`pow1`
55×	`add-cbrt-cube` `add-exp-log`
51×	`pow-prod-down`
36×	`prod-exp` `pow-prod-up` `cbrt-unprod`
22×	`pow-sqr`
18×	`pow-plus`
13×	`pow2`
8×	`add-sqr-sqrt` `associate-r`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`unswap-sqr`
1×	`swap-sqr`

Counts

4 → 137

Calls

4 calls:

270.0ms	(* (* (* (* eps eps) (* eps eps)) eps) -2/5)
58.0ms	(* (* -2/3 (* eps eps)) eps)
36.0ms	(* (* eps eps) (* eps eps))
28.0ms	(* -2/3 (* eps eps))

series260.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (* (* (* eps eps) (* eps eps)) eps) -2/5)
70.0ms	(* (* -2/3 (* eps eps)) eps)
67.0ms	(* (* eps eps) (* eps eps))
49.0ms	(* -2/3 (* eps eps))

simplify11.9s

Counts

149 → 149

Iterations

Iter	Nodes
3	8735
2	1559
1	395
0	142

prune1.3s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
2	19
1	19
0	13

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.1s	3410×	body	1280	valid
1.4s	2496×	body	640	valid
604.0ms	7931×	body	80	nan
421.0ms	1277×	body	320	valid
113.0ms	628×	body	160	valid
16.0ms	189×	body	80	valid