Details

Time bar (total: 7.0s)

sample166.0ms

Algorithm
intervals
Results
103.0ms109×body1280valid
36.0ms82×body640valid
8.0ms36×body320valid
5.0ms256×pre80true
3.0ms22×body160valid
0.0ms7×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0119
1119

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 61.2b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.7b
(log (- 1.0 x))
6.7b
(log (+ 1.0 x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
16×times-frac
15×pow1 add-cube-cbrt
12×log-pow
9×log-prod
7×add-exp-log
6×log-div
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×add-log-exp
2×flip3-- div-sub rem-log-exp flip--
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 69
Calls
3 calls:
6.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (- 1.0 x))
3.0ms
(log (+ 1.0 x))

series25.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (- 1.0 x))
3.0ms
(log (+ 1.0 x))

simplify42.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050691101

prune185.0ms

Filtered
55 candidates to 78 candidates (-41.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New70878
Fresh000
Picked011
Done000
Total70979

Merged error: 58.7b

Counts
79 → 9

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
0.0b
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
6.7b
(log (- 1.0 x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
23×add-cbrt-cube
17×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×pow1
12×times-frac
9×prod-exp cbrt-unprod
5×cbrt-undiv log-prod div-exp log-pow
4×log-div associate-*l/ associate-/l*
3×associate-*r* pow-prod-down associate-/r* add-log-exp
2×flip3-- div-sub associate-/r/ flip--
1×frac-times frac-2neg flip3-+ associate-*r/ rem-log-exp associate-*l* clear-num *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 79
Calls
3 calls:
9.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
9.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
3.0ms
(log (- 1.0 x))

series16.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
10.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
3.0ms
(log (- 1.0 x))

simplify32.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
054791765

prune200.0ms

Filtered
62 candidates to 88 candidates (-41.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New87188
Fresh437
Picked101
Done101
Total93497

Merged error: 0.1b

Counts
97 → 4

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
0.0b
(/ (+ (- (log 1.0) (* 1.0 x)) (* x (/ (* x (/ -1/2 1.0)) 1.0))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac prod-exp cbrt-unprod
7×pow1
5×cbrt-undiv div-exp
4×associate-*l/ associate-/l/
3×associate-*r/ associate-*r* pow-prod-down associate-/r* associate-/l*
2×flip3-+ frac-add associate-/r/ flip-+ add-log-exp
1×frac-times associate-+l- flip3-- frac-2neg div-sub associate-*l* clear-num *-commutative flip-- div-inv unswap-sqr
Counts
2 → 62
Calls
2 calls:
9.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
12.0ms
(/ (+ (- (log 1.0) (* 1.0 x)) (* x (/ (* x (/ -1/2 1.0)) 1.0))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))

series11.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
8.0ms
(/ (+ (- (log 1.0) (* 1.0 x)) (* x (/ (* x (/ -1/2 1.0)) 1.0))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))

simplify30.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
057691659

prune388.0ms

Filtered
49 candidates to 68 candidates (-38.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New64468
Fresh033
Picked011
Done000
Total64872

Merged error: 0.0b

Counts
72 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (log 1.0) (* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))))
0.6b
(cbrt (- (log 1.0) (* x (- 1.0 (* (/ -1/2 1.0) (/ x 1.0))))))
0.6b
(cbrt (- (log 1.0) (* x (- 1.0 (* (/ -1/2 1.0) (/ x 1.0))))))
0.6b
(cbrt (- (log 1.0) (* x (- 1.0 (* (/ -1/2 1.0) (/ x 1.0))))))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip--
1×flip3-+ flip-+
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))))
2.0ms
(cbrt (- (log 1.0) (* x (- 1.0 (* (/ -1/2 1.0) (/ x 1.0))))))
2.0ms
(cbrt (- (log 1.0) (* x (- 1.0 (* (/ -1/2 1.0) (/ x 1.0))))))
3.0ms
(cbrt (- (log 1.0) (* x (- 1.0 (* (/ -1/2 1.0) (/ x 1.0))))))

series46.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(cbrt (+ (log 1.0) (* x (+ 1.0 (* (/ -1/2 1.0) (/ x 1.0))))))
13.0ms
(cbrt (- (log 1.0) (* x (- 1.0 (* (/ -1/2 1.0) (/ x 1.0))))))
11.0ms
(cbrt (- (log 1.0) (* x (- 1.0 (* (/ -1/2 1.0) (/ x 1.0))))))
11.0ms
(cbrt (- (log 1.0) (* x (- 1.0 (* (/ -1/2 1.0) (/ x 1.0))))))

simplify42.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
053211914

prune654.0ms

Filtered
63 candidates to 64 candidates (-1.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New63164
Fresh066
Picked101
Done011
Total64872

Merged error: 0.0b

Counts
72 → 8

regimes64.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02433
12433

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.1s3475×body1280valid
1.1s2444×body640valid
285.0ms1241×body320valid
137.0ms8000×pre80true
83.0ms602×body160valid
14.0ms238×body80valid

Profiling

Loading profile data...