Details

sample173.0ms

Algorithm

intervals

Results

86.0ms	104×	body	1280	valid
41.0ms	87×	body	640	valid
19.0ms	283×	body	80	nan
9.0ms	33×	body	320	valid
5.0ms	26×	body	160	valid
1.0ms	6×	body	80	valid

simplify23.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

23.0ms

(log (/ (- 1 eps) (+ 1 eps)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize31.0ms

Local error

Found 2 expressions with local error:

7.9b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite47.0ms

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

32.0ms	(/ (- 1 eps) (+ 1 eps))
12.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

125.0ms	(log (/ (- 1 eps) (+ 1 eps)))
34.0ms	(/ (- 1 eps) (+ 1 eps))

simplify3.9s

Counts

102 → 104

Calls

102 calls:

Slowest

442.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
225.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
224.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
217.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
194.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))

prune852.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.3b	(* eps -2/3)
0.1b	(* (* eps -2/3) eps)
0.0b	(* eps (- (* (* eps -2/3) eps) 2))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
7×	`associate-l`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-*r/` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

3 → 75

Calls

3 calls:

Slowest

85.0ms	(* eps (- (* (* eps -2/3) eps) 2))
28.0ms	(* (* eps -2/3) eps)
10.0ms	(* eps -2/3)

series191.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

138.0ms	(* eps (- (* (* eps -2/3) eps) 2))
28.0ms	(* (* eps -2/3) eps)
25.0ms	(* eps -2/3)

simplify2.9s

Counts

48 → 84

Calls

48 calls:

Slowest

609.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
292.0ms	(+ (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (+ (* 2 2) (* (* (* eps -2/3) eps) 2)))
276.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
275.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
249.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))

prune772.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 3 expressions with local error:

0.3b	(* eps -2/3)
0.1b	(* (* eps -2/3) eps)
0.1b	(* (* (* eps -2/3) eps) eps)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `associate-r`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-l`
3×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

3 → 66

Calls

3 calls:

Slowest

55.0ms	(* (* (* eps -2/3) eps) eps)
15.0ms	(* (* eps -2/3) eps)
6.0ms	(* eps -2/3)

series112.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

62.0ms	(* (* (* eps -2/3) eps) eps)
33.0ms	(* (* eps -2/3) eps)
17.0ms	(* eps -2/3)

simplify2.7s

Counts

38 → 75

Calls

38 calls:

Slowest

640.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
422.0ms	(* (* (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (* (* eps -2/3) eps)) (* (* eps eps) eps))
415.0ms	(* (* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps)) (* (* eps eps) eps))
389.0ms	(* (* (* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3)) (* (* eps eps) eps)) (* (* eps eps) eps))
236.0ms	(* (* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3)) (* (* eps eps) eps))

prune770.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

7.9b	(log (- 1 eps))
7.9b	(log (/ 1 (+ 1 eps)))
0.0b	(/ 1 (+ 1 eps))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `log-prod` `times-frac`
21×	`add-cube-cbrt`
13×	`add-exp-log`
7×	`pow1` `distribute-lft-out`
5×	`add-cbrt-cube` `rem-log-exp`
4×	`associate-/r*` `div-exp` `associate-/r/` `log-pow`
3×	`expm1-log1p-u` `log-div` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`rec-exp` `log1p-def` `flip3-+` `1-exp` `flip-+` `div-inv` `pow-flip` `inv-pow` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `log-rec` `flip--` `distribute-lft-out--`

Counts

3 → 99

Calls

3 calls:

Slowest

8.0ms	(/ 1 (+ 1 eps))
5.0ms	(log (- 1 eps))
5.0ms	(log (/ 1 (+ 1 eps)))

series89.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

38.0ms	(log (/ 1 (+ 1 eps)))
26.0ms	(/ 1 (+ 1 eps))
25.0ms	(log (- 1 eps))

simplify4.5s

Counts

80 → 108

Calls

80 calls:

Slowest

585.0ms	(/ (* (* 1 1) 1) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
486.0ms	(- (+ (/ 1 eps) (+ (* 1/2 (/ 1 (pow eps 2))) (log (/ -1 eps)))))
471.0ms	(- (+ (* 1/2 (/ 1 (pow eps 2))) (+ (log (/ -1 eps)) (log -1))) (/ 1 eps))
416.0ms	(- (* 1/2 (pow eps 2)) (+ (* 1/3 (pow eps 3)) eps))
312.0ms	(- (log -1) (+ (/ 1 eps) (+ (* 1/2 (/ 1 (pow eps 2))) (log (/ 1 eps)))))

prune546.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.3s	3393×	body	1280	valid
1.2s	2496×	body	640	valid
631.0ms	8114×	body	80	nan
363.0ms	1234×	body	320	valid
190.0ms	671×	body	160	valid
18.0ms	206×	body	80	valid