Details

sample153.0ms

Algorithm

intervals

Results

82.0ms	116×	body	1280	valid
25.0ms	68×	body	640	valid
11.0ms	257×	body	80	nan
10.0ms	42×	body	320	valid
3.0ms	20×	body	160	valid
1.0ms	10×	body	80	valid

simplify32.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

57.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
18.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series164.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
125.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.2s

Counts: 89 → 89

prune266.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify11.0ms

Counts: 0 → 0

prune20.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))
0.0b	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
0.0b	(* (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
5.3b	(log (* (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

rewrite344.0ms

Algorithm

rewrite-expression-head

Rules

184×	`*-un-lft-identity`
91×	`times-frac`
79×	`add-sqr-sqrt`
55×	`distribute-lft-out`
51×	`associate-l`
44×	`unpow-prod-down` `cube-prod`
36×	`add-cube-cbrt`
19×	`distribute-lft-out--` `difference-of-squares`
17×	`add-exp-log`
11×	`sum-cubes` `add-cbrt-cube`
9×	`pow1` `associate-/r*` `add-log-exp`
7×	`flip3-+` `flip-+`
5×	`log-div` `associate-/l*`
4×	`frac-times` `associate-*r/` `prod-exp` `associate-/r/`
3×	`div-exp` `rem-log-exp` `associate-r`
2×	`cbrt-undiv` `associate-+r+` `pow-prod-down` `associate-*l/` `sum-log` `log-pow` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `associate-+r-` `sub-neg` `log-prod` `flip3--` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `clear-num` `*-commutative` `flip--`

Counts

4 → 185

Calls

4 calls:

26.0ms	(+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))
56.0ms	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
193.0ms	(* (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
53.0ms	(log (* (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

series443.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))
86.0ms	(/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))
88.0ms	(* (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
244.0ms	(log (* (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

simplify1.5s

Counts: 197 → 197

prune632.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (* (- 1.0 eps) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))) (log (+ (pow 1.0 3) (pow eps 3))))
0.0b	(* (- 1.0 eps) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
1.8b	(log (+ (pow 1.0 3) (pow eps 3)))
5.3b	(log (* (- 1.0 eps) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

rewrite479.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
20×	`log-div` `log-prod`
19×	`pow1`
14×	`add-sqr-sqrt`
12×	`frac-times`
11×	`flip3-+` `flip-+`
10×	`add-exp-log` `flip3--` `log-pow` `flip--` `distribute-lft-out`
9×	`associate--r+`
8×	`associate--l-` `add-cube-cbrt` `unpow-prod-down` `cube-prod`
7×	`distribute-lft-out--`
6×	`associate-r/` `associate-l/` `add-cbrt-cube`
5×	`associate-l`
4×	`pow-prod-down` `add-log-exp`
3×	`rem-log-exp` `associate-r`
2×	`prod-exp` `sum-cubes` `associate--r-` `difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `diff-log` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

304.0ms	(- (log (* (- 1.0 eps) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))) (log (+ (pow 1.0 3) (pow eps 3))))
101.0ms	(* (- 1.0 eps) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
35.0ms	(log (+ (pow 1.0 3) (pow eps 3)))
34.0ms	(log (* (- 1.0 eps) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

series939.0ms

Counts

4 → 12

Calls

4 calls:

345.0ms	(- (log (* (- 1.0 eps) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))) (log (+ (pow 1.0 3) (pow eps 3))))
41.0ms	(* (- 1.0 eps) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps))))
361.0ms	(log (+ (pow 1.0 3) (pow eps 3)))
192.0ms	(log (* (- 1.0 eps) (+ (* 1.0 1.0) (- (* eps eps) (* 1.0 eps)))))

simplify1.2s

Counts: 121 → 121

prune467.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes29.0ms

Accuracy

1.2% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify734.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.1s	3369×	body	1280	valid
791.0ms	2457×	body	640	valid
336.0ms	8084×	body	80	nan
286.0ms	1275×	body	320	valid
66.0ms	651×	body	160	valid
12.0ms	248×	body	80	valid