Details

sample184.0ms

Algorithm

intervals

Results

96.0ms	109×	body	1280	valid
42.0ms	83×	body	640	valid
17.0ms	251×	body	80	nan
14.0ms	41×	body	320	valid
3.0ms	15×	body	160	valid
1.0ms	8×	body	80	valid

simplify28.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

28.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize21.0ms

Local error

Found 2 expressions with local error:

5.0b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite59.0ms

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

44.0ms	(/ (- 1 eps) (+ 1 eps))
12.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series138.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

97.0ms	(log (/ (- 1 eps) (+ 1 eps)))
41.0ms	(/ (- 1 eps) (+ 1 eps))

simplify4.1s

Counts

102 → 104

Calls

102 calls:

Slowest

420.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
297.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
244.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
227.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
213.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))

prune811.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* eps -2/3)
0.1b	(* (* eps -2/3) eps)
0.0b	(* eps (- (* (* eps -2/3) eps) 2))
0.0b	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`*-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`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`sub-neg` `associate-*r/` `unswap-sqr`
1×	`flip3--` `fma-udef` `flip--`

Counts

4 → 86

Calls

4 calls:

Slowest

106.0ms	(* eps (- (* (* eps -2/3) eps) 2))
14.0ms	(* (* eps -2/3) eps)
5.0ms	(* eps -2/3)
0.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

146.0ms	(* eps (- (* (* eps -2/3) eps) 2))
91.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))
32.0ms	(* (* eps -2/3) eps)
28.0ms	(* eps -2/3)

simplify3.5s

Counts

51 → 98

Calls

51 calls:

Slowest

606.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
277.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
252.0ms	(+ (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (+ (* 2 2) (* (* (* eps -2/3) eps) 2)))
249.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
249.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))

prune940.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

Slowest

11.0ms	(* eps -2/3)
10.0ms	(* eps -2/3)
8.0ms	(* eps -2/3)
5.0ms	(* eps -2/3)

series97.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

28.0ms	(* eps -2/3)
27.0ms	(* eps -2/3)
26.0ms	(* eps -2/3)
16.0ms	(* eps -2/3)

simplify808.0ms

Counts

48 → 96

Calls

48 calls:

Slowest

172.0ms	(* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3))
151.0ms	(* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3))
138.0ms	(* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3))
128.0ms	(* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3))
13.0ms	(* (sqrt eps) (sqrt -2/3))

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
54×	`times-frac`
52×	`log-prod`
38×	`add-cube-cbrt`
22×	`associate-+l+`
20×	`difference-of-squares`
11×	`pow1`
10×	`add-exp-log` `distribute-lft-out--`
7×	`log-pow`
6×	`log-div` `add-cbrt-cube` `distribute-lft-out` `associate-/l*`
4×	`expm1-log1p-u` `associate-+r+` `fma-def` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*` `flip3-+` `rem-log-exp` `flip-+` `div-inv`
2×	`associate-+r-` `div-exp` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3--` `div-sub` `associate-+l-` `flip--`

Counts

4 → 150

Calls

4 calls:

Slowest

38.0ms	(+ (log (/ (- 1 eps) (fma (* eps eps) eps 1))) (log (+ (* 1 1) (- (* eps eps) (* 1 eps)))))
13.0ms	(/ (- 1 eps) (fma (* eps eps) eps 1))
12.0ms	(log (+ (* 1 1) (- (* eps eps) (* 1 eps))))
4.0ms	(log (/ (- 1 eps) (fma (* eps eps) eps 1)))

series405.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

223.0ms	(+ (log (/ (- 1 eps) (fma (* eps eps) eps 1))) (log (+ (* 1 1) (- (* eps eps) (* 1 eps)))))
78.0ms	(log (/ (- 1 eps) (fma (* eps eps) eps 1)))
55.0ms	(/ (- 1 eps) (fma (* eps eps) eps 1))
48.0ms	(log (+ (* 1 1) (- (* eps eps) (* 1 eps))))

simplify11.0s

Counts

128 → 162

Calls

128 calls:

Slowest

455.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (fma (* eps eps) eps 1) (fma (* eps eps) eps 1)) (fma (* eps eps) eps 1)))
344.0ms	(- (+ (* 2 (log (/ 1 eps))) (log -1)) (+ (/ 1 eps) (* 1/2 (/ 1 (pow eps 2)))))
341.0ms	(* (/ (- 1 eps) (fma (* eps eps) eps 1)) (+ (* 1 1) (- (* eps eps) (* 1 eps))))
321.0ms	(- (+ (* 2 (log (/ -1 eps))) (log -1)) (+ (/ 1 eps) (* 1/2 (/ 1 (pow eps 2)))))
291.0ms	(log (- (* (* 1 1) (* 1 1)) (* (- (* eps eps) (* 1 eps)) (- (* eps eps) (* 1 eps)))))

prune890.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

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

bsearch9.0ms

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.8s	3391×	body	1280	valid
1.7s	2587×	body	640	valid
710.0ms	7971×	body	80	nan
407.0ms	1225×	body	320	valid
109.0ms	605×	body	160	valid
17.0ms	192×	body	80	valid