Details

sample196.0ms

Algorithm

intervals

Results

110.0ms	129×	body	1280	valid
34.0ms	66×	body	640	valid
20.0ms	263×	body	80	nan
13.0ms	39×	body	320	valid
3.0ms	16×	body	160	valid
1.0ms	6×	body	80	valid

simplify20.0ms

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
4.8b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite27.0ms

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:

20.0ms	(/ (- 1 eps) (+ 1 eps))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series130.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (- 1 eps) (+ 1 eps))
98.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify1.2s

Counts

100 → 100

Iterations

Iter	Nodes
3	2199
2	794
1	365
0	158

prune554.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

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:

56.0ms	(- (* -2/3 (* (* eps eps) eps)) (+ (* 2/5 (pow eps 5)) (* 2 eps)))
15.0ms	(* (* eps eps) eps)
9.0ms	(* 2/5 (pow eps 5))
40.0ms	(* -2/3 (* (* eps eps) eps))

series284.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(- (* -2/3 (* (* eps eps) eps)) (+ (* 2/5 (pow eps 5)) (* 2 eps)))
38.0ms	(* (* eps eps) eps)
89.0ms	(* 2/5 (pow eps 5))
56.0ms	(* -2/3 (* (* eps eps) eps))

simplify2.0s

Counts

104 → 104

Iterations

Iter	Nodes
3	4122
2	1052
1	348
0	137

prune570.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
0.2b	(exp (log (log (/ (- 1 eps) (+ 1 eps)))))
4.8b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 111

Calls

3 calls:

16.0ms	(/ (- 1 eps) (+ 1 eps))
3.0ms	(exp (log (log (/ (- 1 eps) (+ 1 eps)))))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series174.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ (- 1 eps) (+ 1 eps))
76.0ms	(exp (log (log (/ (- 1 eps) (+ 1 eps)))))
75.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify2.0s

Counts

120 → 120

Iterations

Iter	Nodes
3	2441
2	843
1	398
0	180

prune412.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* eps eps) eps)
0.2b	(exp (log (+ (log (/ (- 1 eps) (+ 1 (* (* eps eps) eps)))) (log (+ 1 (- (* eps eps) eps))))))
4.9b	(log (/ (- 1 eps) (+ 1 (* (* eps eps) eps))))
4.9b	(log (+ 1 (- (* eps eps) eps)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

35×	`log-prod`
33×	`*-un-lft-identity`
30×	`pow1`
28×	`add-sqr-sqrt`
18×	`times-frac` `add-cube-cbrt`
13×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`exp-sum` `log-pow`
6×	`pow-plus` `pow-prod-up` `difference-of-squares`
5×	`log-div` `distribute-lft-out`
4×	`exp-prod` `insert-posit16` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out--`
2×	`pow2` `exp-diff` `associate-/r/` `pow-sqr`
1×	`div-exp` `associate-l` `pow3` `*-commutative` `div-inv` `unswap-sqr` `rem-exp-log`

Counts

4 → 103

Calls

4 calls:

29.0ms	(* (* eps eps) eps)
15.0ms	(exp (log (+ (log (/ (- 1 eps) (+ 1 (* (* eps eps) eps)))) (log (+ 1 (- (* eps eps) eps))))))
12.0ms	(log (/ (- 1 eps) (+ 1 (* (* eps eps) eps))))
29.0ms	(log (+ 1 (- (* eps eps) eps)))

series384.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (* eps eps) eps)
215.0ms	(exp (log (+ (log (/ (- 1 eps) (+ 1 (* (* eps eps) eps)))) (log (+ 1 (- (* eps eps) eps))))))
52.0ms	(log (/ (- 1 eps) (+ 1 (* (* eps eps) eps))))
58.0ms	(log (+ 1 (- (* eps eps) eps)))

simplify1.6s

Counts

115 → 115

Iterations

Iter	Nodes
3	2911
2	1183
1	550
0	256

prune512.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes19.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	18
1	18
0	13

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.9s	3415×	body	1280	valid
1.8s	2517×	body	640	valid
586.0ms	7861×	body	80	nan
391.0ms	1222×	body	320	valid
179.0ms	635×	body	160	valid
19.0ms	211×	body	80	valid