Details

Time bar (total: 57.8s)

sample230.0ms

Algorithm
intervals
Results
111.0ms112×body1280valid
66.0ms83×body640valid
20.0ms241×body80nan
12.0ms34×body320valid
4.0ms20×body160valid
1.0ms7×body80valid

simplify44.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
44.0ms
(log (/ (- 1 eps) (+ 1 eps)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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×flip3-+ div-exp rem-log-exp flip-+ insert-posit16 div-inv add-log-exp associate-/l/
1×cbrt-undiv log-div clear-num frac-2neg flip3-- div-sub log-pow flip--
Counts
2 → 94
Calls
2 calls:
Slowest
21.0ms
(/ (- 1 eps) (+ 1 eps))
6.0ms
(log (/ (- 1 eps) (+ 1 eps)))

series140.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
114.0ms
(log (/ (- 1 eps) (+ 1 eps)))
25.0ms
(/ (- 1 eps) (+ 1 eps))

simplify7.2s

Counts
155 → 100
Calls
155 calls:
Slowest
444.0ms
(* (* (log (/ (- 1 eps) (+ 1 eps))) (log (/ (- 1 eps) (+ 1 eps)))) (log (/ (- 1 eps) (+ 1 eps))))
425.0ms
(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
424.0ms
(* (+ 1 eps) (+ (* 1 1) (+ (* eps eps) (* 1 eps))))
273.0ms
(* (* (/ (- 1 eps) (+ 1 eps)) (/ (- 1 eps) (+ 1 eps))) (/ (- 1 eps) (+ 1 eps)))
264.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))

prune827.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×add-exp-log
16×associate-*r*
15×add-cbrt-cube
13×pow1
12×*-un-lft-identity add-cube-cbrt
10×associate-*l*
8×prod-exp
6×cbrt-unprod
5×pow-prod-down unswap-sqr
4×unpow-prod-down *-commutative insert-posit16 add-log-exp
2×associate-*l/ sqr-pow
1×pow-to-exp flip3-+ pow-exp flip-+
Counts
4 → 85
Calls
4 calls:
Slowest
68.0ms
(* (+ (* (* 2/3 eps) eps) 2) eps)
13.0ms
(* (* 2/3 eps) eps)
10.0ms
(* -2/5 (pow eps 5))
5.0ms
(* 2/3 eps)

series264.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
117.0ms
(* (+ (* (* 2/3 eps) eps) 2) eps)
75.0ms
(* -2/5 (pow eps 5))
44.0ms
(* (* 2/3 eps) eps)
28.0ms
(* 2/3 eps)

simplify8.1s

Counts
98 → 97
Calls
98 calls:
Slowest
652.0ms
(* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps))
480.0ms
(* (* (* -2/5 (pow eps 5)) (* -2/5 (pow eps 5))) (* -2/5 (pow eps 5)))
480.0ms
(* (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* (* 2/3 eps) eps))
444.0ms
(* (cbrt (* -2/5 (pow eps 5))) (cbrt (* -2/5 (pow eps 5))))
441.0ms
(* -2/5 (pow (* (cbrt eps) (cbrt eps)) 5))

prune862.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (+ (* (* 2/3 eps) eps) 2)) eps)
0.4b
(* (sqrt (+ (* (* 2/3 eps) eps) 2)) (* (sqrt (+ (* (* 2/3 eps) eps) 2)) eps))
0.3b
(* 2/3 eps)
0.3b
(* 2/3 eps)

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×associate-*l*
15×pow1 add-cbrt-cube add-exp-log
14×sqrt-div
13×*-un-lft-identity add-cube-cbrt
10×associate-*r* associate-*l/
7×flip3-+ sqrt-prod flip-+
6×pow-prod-down prod-exp cbrt-unprod
4×frac-times *-commutative insert-posit16 add-log-exp unswap-sqr
2×associate-*r/
Counts
4 → 93
Calls
4 calls:
Slowest
149.0ms
(* (sqrt (+ (* (* 2/3 eps) eps) 2)) (* (sqrt (+ (* (* 2/3 eps) eps) 2)) eps))
68.0ms
(* (sqrt (+ (* (* 2/3 eps) eps) 2)) eps)
5.0ms
(* 2/3 eps)
5.0ms
(* 2/3 eps)

series415.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
223.0ms
(* (sqrt (+ (* (* 2/3 eps) eps) 2)) eps)
141.0ms
(* (sqrt (+ (* (* 2/3 eps) eps) 2)) (* (sqrt (+ (* (* 2/3 eps) eps) 2)) eps))
27.0ms
(* 2/3 eps)
24.0ms
(* 2/3 eps)

simplify10.2s

Counts
109 → 105
Calls
109 calls:
Slowest
657.0ms
(- (* 1/2 (/ 1 (* (pow eps 2) (pow (sqrt 2/3) 3)))) (+ (/ 1 (sqrt 2/3)) (* (pow eps 2) (sqrt 2/3))))
448.0ms
(* (* (* (sqrt (+ (* (* 2/3 eps) eps) 2)) (* (sqrt (+ (* (* 2/3 eps) eps) 2)) eps)) (* (sqrt (+ (* (* 2/3 eps) eps) 2)) (* (sqrt (+ (* (* 2/3 eps) eps) 2)) eps))) (* (sqrt (+ (* (* 2/3 eps) eps) 2)) (* (sqrt (+ (* (* 2/3 eps) eps) 2)) eps)))
434.0ms
(* (sqrt (+ (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (- (* 2 2) (* (* (* 2/3 eps) eps) 2)))) (sqrt (- (* (* 2/3 eps) eps) 2)))
400.0ms
(* (sqrt (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3))) (* (sqrt (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2))) eps))
397.0ms
(* (sqrt (- (* (* 2/3 eps) eps) 2)) (sqrt (+ (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (- (* 2 2) (* (* (* 2/3 eps) eps) 2)))))

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt (+ (* (* 2/3 eps) eps) 2)) (* (sqrt (sqrt (+ (* (* 2/3 eps) eps) 2))) (* (sqrt (sqrt (+ (* (* 2/3 eps) eps) 2))) eps)))
0.3b
(* 2/3 eps)
0.3b
(* 2/3 eps)
0.3b
(* 2/3 eps)

rewrite483.0ms

Algorithm
rewrite-expression-head
Rules
90×sqrt-div
28×frac-times
27×flip3-+ flip-+
26×associate-*l/
19×pow1 add-cbrt-cube add-exp-log
18×add-sqr-sqrt
15×associate-*l*
14×associate-*r/
12×*-un-lft-identity add-cube-cbrt
10×associate-*r*
9×pow-prod-down prod-exp cbrt-unprod
4×*-commutative insert-posit16 add-log-exp
3×sqrt-prod unswap-sqr
Counts
4 → 108
Calls
4 calls:
Slowest
454.0ms
(* (sqrt (+ (* (* 2/3 eps) eps) 2)) (* (sqrt (sqrt (+ (* (* 2/3 eps) eps) 2))) (* (sqrt (sqrt (+ (* (* 2/3 eps) eps) 2))) eps)))
10.0ms
(* 2/3 eps)
9.0ms
(* 2/3 eps)
5.0ms
(* 2/3 eps)

series177.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
126.0ms
(* (sqrt (+ (* (* 2/3 eps) eps) 2)) (* (sqrt (sqrt (+ (* (* 2/3 eps) eps) 2))) (* (sqrt (sqrt (+ (* (* 2/3 eps) eps) 2))) eps)))
20.0ms
(* 2/3 eps)
15.0ms
(* 2/3 eps)
15.0ms
(* 2/3 eps)

simplify19.8s

Counts
135 → 120
Calls
135 calls:
Slowest
502.0ms
(* (sqrt (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3))) (* (sqrt (sqrt (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3)))) (* (sqrt (sqrt (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2)))) eps)))
461.0ms
(* (sqrt (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2))) (* (sqrt (sqrt (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3)))) (* (sqrt (sqrt (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2)))) eps)))
461.0ms
(* (sqrt (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3))) (* (sqrt (sqrt (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2)))) (* (sqrt (sqrt (+ (* (* 2/3 eps) eps) 2))) eps)))
460.0ms
(* (sqrt (+ (* (* 2/3 eps) eps) 2)) (* (sqrt (sqrt (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3)))) (* (sqrt (sqrt (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2)))) eps)))
454.0ms
(* (sqrt (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2))) (* (sqrt (sqrt (+ (* (* 2/3 eps) eps) 2))) (* (sqrt (sqrt (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3)))) eps)))

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes58.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.7s3431×body1280valid
1.7s2538×body640valid
752.0ms8062×body80nan
353.0ms1228×body320valid
108.0ms606×body160valid
18.0ms197×body80valid