Details

sample179.0ms

Algorithm

intervals

Results

88.0ms	112×	body	1280	valid
40.0ms	83×	body	640	valid
23.0ms	241×	body	80	nan
10.0ms	34×	body	320	valid
3.0ms	20×	body	160	valid
1.0ms	7×	body	80	valid

simplify46.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize22.0ms

Local error

Found 2 expressions with local error:

5.3b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite54.0ms

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×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 98

Calls

2 calls:

Slowest

31.0ms	(log (/ (- 1 eps) (+ 1 eps)))
21.0ms	(/ (- 1 eps) (+ 1 eps))

series123.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

101.0ms	(log (/ (- 1 eps) (+ 1 eps)))
22.0ms	(/ (- 1 eps) (+ 1 eps))

simplify388.0ms

Counts: 159 → 104

prune525.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1`
17×	`add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow-prod-up` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `prod-diff` `insert-posit16` `log1p-expm1-u`
2×	`*-commutative`
1×	`pow2` `sub-neg` `pow-plus` `flip3--` `fma-neg` `diff-log` `cube-unmult` `pow-sqr` `fma-udef` `flip--` `associate--r+` `unswap-sqr`

Counts

3 → 71

Calls

3 calls:

Slowest

64.0ms	(* (* eps (* eps eps)) -2/3)
57.0ms	(- (* (* eps (* eps eps)) -2/3) (fma 2/5 (pow eps 5) (* 2 eps)))
34.0ms	(* eps (* eps eps))

series168.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

74.0ms	(- (* (* eps (* eps eps)) -2/3) (fma 2/5 (pow eps 5) (* 2 eps)))
51.0ms	(* (* eps (* eps eps)) -2/3)
42.0ms	(* eps (* eps eps))

simplify359.0ms

Counts: 83 → 80

prune728.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

5.3b	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
5.3b	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
0.0b	(/ (- 1 eps) (+ 1 eps))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity`
106×	`add-sqr-sqrt`
96×	`times-frac`
66×	`log-prod`
60×	`sqrt-prod`
52×	`add-cube-cbrt`
36×	`difference-of-squares`
26×	`distribute-lft-out`
18×	`distribute-lft-out--`
12×	`associate-/l*`
10×	`add-exp-log`
8×	`pow1` `associate-/r*` `add-cbrt-cube` `associate-/r/`
6×	`log-pow`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
2×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `sqrt-div` `div-sub` `div-exp` `rem-log-exp` `flip--`

Counts

4 → 204

Calls

4 calls:

Slowest

19.0ms	(/ (- 1 eps) (+ 1 eps))
15.0ms	(/ (- 1 eps) (+ 1 eps))
10.0ms	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
6.0ms	(log (sqrt (/ (- 1 eps) (+ 1 eps))))

series342.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

146.0ms	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
144.0ms	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
28.0ms	(/ (- 1 eps) (+ 1 eps))
23.0ms	(/ (- 1 eps) (+ 1 eps))

simplify468.0ms

Counts: 334 → 216

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

5.3b	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
5.3b	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
5.3b	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
5.3b	(log (sqrt (/ (- 1 eps) (+ 1 eps))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

148×	`*-un-lft-identity`
132×	`log-prod`
120×	`sqrt-prod`
100×	`add-sqr-sqrt`
96×	`times-frac`
52×	`add-cube-cbrt`
32×	`difference-of-squares`
24×	`distribute-lft-out`
16×	`distribute-lft-out--`
12×	`pow1` `log-pow`
8×	`add-exp-log` `associate-/r/`
4×	`expm1-log1p-u` `log-div` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `sqrt-div` `rem-log-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

4 → 192

Calls

4 calls:

Slowest

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

series483.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

130.0ms	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
127.0ms	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
122.0ms	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
104.0ms	(log (sqrt (/ (- 1 eps) (+ 1 eps))))

simplify514.0ms

Counts: 336 → 204

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch2.0ms

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.8s	3431×	body	1280	valid
1.3s	2538×	body	640	valid
1.1s	8062×	body	80	nan
403.0ms	1228×	body	320	valid
140.0ms	606×	body	160	valid
17.0ms	197×	body	80	valid