Details

Time bar (total: 17.8s)

sample163.0ms

Algorithm
intervals
Results
78.0ms97×body1280valid
41.0ms94×body640valid
11.0ms240×body80nan
10.0ms40×body320valid
3.0ms16×body160valid
1.0ms9×body80valid

simplify19.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
5.4b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite96.0ms

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:
70.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
18.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series231.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
179.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.6s

Counts
89 → 89

prune293.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×*-un-lft-identity add-log-exp
4×difference-of-squares
2×diff-log distribute-lft-out--
1×pow1 add-exp-log add-cube-cbrt sub-neg unpow-prod-down flip3-- sum-log add-cbrt-cube flip-- distribute-lft-out associate--r+ unpow2 sqr-pow
Counts
1 → 20
Calls
1 calls:
216.0ms
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

series148.0ms

Counts
1 → 3
Calls
1 calls:
148.0ms
(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

simplify1.0s

Counts
23 → 23

prune77.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (pow 1.0 3) (pow eps 3)) (* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps)))
0.0b
(* eps (+ eps 1.0))
0.0b
(* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps))
5.4b
(log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps))))

rewrite365.0ms

Algorithm
rewrite-expression-head
Rules
88×add-sqr-sqrt
50×times-frac
48×difference-of-squares
46×*-un-lft-identity
37×log-prod
36×unpow-prod-down cube-prod
25×associate-/l*
24×sqr-pow
19×add-exp-log flip3-+ flip-+
16×associate-/r/
15×distribute-lft-out--
13×add-cbrt-cube
12×frac-times add-cube-cbrt
9×pow1
8×associate-*r/ associate-*r*
6×associate-*l* associate-*l/
4×div-exp prod-exp add-log-exp
3×difference-cubes rem-log-exp cbrt-unprod
2×cbrt-undiv distribute-rgt-in distribute-lft-in pow-prod-down *-commutative div-inv associate-/l/ distribute-lft-out unswap-sqr
1×log-div flip3-- frac-2neg div-sub clear-num associate-/r* log-pow flip--
Counts
4 → 177
Calls
4 calls:
164.0ms
(/ (- (pow 1.0 3) (pow eps 3)) (* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps)))
22.0ms
(* eps (+ eps 1.0))
96.0ms
(* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps))
63.0ms
(log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps))))

series441.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(/ (- (pow 1.0 3) (pow eps 3)) (* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps)))
60.0ms
(* eps (+ eps 1.0))
41.0ms
(* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps))
241.0ms
(log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps))))

simplify2.0s

Counts
189 → 189

prune792.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps)))))
5.4b
(log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps))))
5.4b
(log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps))))
5.4b
(log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps))))

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
111×log-prod
83×add-sqr-sqrt
75×times-frac
48×difference-of-squares
41×*-un-lft-identity
36×unpow-prod-down cube-prod
24×associate-/r/ sqr-pow
22×add-exp-log
18×flip3-+ flip-+
15×distribute-lft-out--
12×frac-times
11×add-cube-cbrt
9×rem-log-exp
8×pow1
6×associate-*r/ div-exp associate-*l/
4×cbrt-prod log-pow add-cbrt-cube add-log-exp
3×difference-cubes log-div prod-exp div-inv
1×pow1/3
Counts
4 → 159
Calls
4 calls:
21.0ms
(cbrt (log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps)))))
79.0ms
(log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps))))
72.0ms
(log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps))))
61.0ms
(log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps))))

series1.1s

Counts
4 → 12
Calls
4 calls:
389.0ms
(cbrt (log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps)))))
204.0ms
(log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps))))
241.0ms
(log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps))))
251.0ms
(log (/ (- (pow 1.0 3) (pow eps 3)) (* (+ (* eps (+ eps 1.0)) (pow 1.0 2)) (+ 1.0 eps))))

simplify1.1s

Counts
171 → 171

prune832.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes139.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.3s

end0.0ms

sample4.6s

Algorithm
intervals
Results
2.2s3401×body1280valid
919.0ms2505×body640valid
693.0ms8049×body80nan
230.0ms1212×body320valid
78.0ms673×body160valid
51.0ms209×body80valid