Details

Time bar (total: 11.2s)

sample311.0ms

Algorithm
intervals
Results
188.0ms107×body1280valid
58.0ms69×body640valid
23.0ms53×body320valid
9.0ms256×pre80true
4.0ms17×body160valid
1.0ms10×body80valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
052579

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 61.3b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.9b
(log (- 1.0 x))
7.2b
(log (+ 1.0 x))

rewrite29.0ms

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:
12.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.0ms
(log (- 1.0 x))
6.0ms
(log (+ 1.0 x))

series41.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.0ms
(log (- 1.0 x))
6.0ms
(log (+ 1.0 x))

simplify99.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
050031101

prune352.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New71778
Fresh000
Picked011
Done000
Total71879

Merged error: 59.0b

Counts
79 → 8

localize30.0ms

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))))
6.9b
(log (- 1.0 x))

rewrite52.0ms

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:
19.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
21.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
6.0ms
(log (- 1.0 x))

series33.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
20.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
6.0ms
(log (- 1.0 x))

simplify66.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050861764

prune412.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New87188
Fresh246
Picked101
Done101
Total91596

Merged error: 0.1b

Counts
96 → 5

localize39.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
22×add-exp-log add-cbrt-cube
15×times-frac
14×add-sqr-sqrt
13×add-cube-cbrt
11×pow1
9×prod-exp cbrt-unprod
8×distribute-lft-out
5×cbrt-undiv div-exp associate-/l*
4×associate-*l/ log-pow
3×associate-*r* pow-prod-down associate-/r*
2×flip3-+ associate-/r/ flip-+ associate-/l/ add-log-exp
1×frac-times associate-+r- frac-2neg div-sub associate-*r/ associate-*l* clear-num *-commutative div-inv unswap-sqr
Counts
2 → 68
Calls
2 calls:
20.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
35.0ms
(/ (+ (log 1.0) (- (* x (/ (* x (/ -1/2 1.0)) 1.0)) (* 1.0 x))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))

series23.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (* (/ x 1.0) (/ x 1.0)) -1/2)
17.0ms
(/ (+ (log 1.0) (- (* x (/ (* x (/ -1/2 1.0)) 1.0)) (* 1.0 x))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))

simplify103.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
051511946

prune401.0ms

Filtered
47 candidates to 74 candidates (-57.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New71374
Fresh044
Picked011
Done000
Total71879

Merged error: 0.1b

Counts
79 → 8

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
9×add-exp-log times-frac add-cbrt-cube
7×pow1
6×associate-*r* associate-*l*
4×associate-*r/
3×distribute-rgt-in flip3-- distribute-lft-in associate-/r* flip-- associate-/l* add-log-exp
2×sub-neg pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod associate-/l/ unswap-sqr
1×cbrt-undiv frac-2neg flip3-+ div-sub div-exp clear-num flip-+ div-inv
Counts
3 → 78
Calls
3 calls:
21.0ms
(* x (+ (* (/ -1/2 1.0) (/ x 1.0)) 1.0))
29.0ms
(/ (- (* x (- 1.0 (* (/ -1/2 1.0) (/ x 1.0)))) (log 1.0)) (- (neg (log 1.0)) (* x (+ (* (/ -1/2 1.0) (/ x 1.0)) 1.0))))
12.0ms
(* x (- 1.0 (* (/ -1/2 1.0) (/ x 1.0))))

series45.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(* x (+ (* (/ -1/2 1.0) (/ x 1.0)) 1.0))
19.0ms
(/ (- (* x (- 1.0 (* (/ -1/2 1.0) (/ x 1.0)))) (log 1.0)) (- (neg (log 1.0)) (* x (+ (* (/ -1/2 1.0) (/ x 1.0)) 1.0))))
13.0ms
(* x (- 1.0 (* (/ -1/2 1.0) (/ x 1.0))))

simplify94.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049692058
149692058

prune444.0ms

Filtered
69 candidates to 87 candidates (-26.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New87087
Fresh066
Picked011
Done011
Total87895

Merged error: 0.1b

Counts
95 → 8

regimes103.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05033
15033

end0.0ms

sample8.3s

Algorithm
intervals
Results
5.2s3488×body1280valid
1.8s2485×body640valid
471.0ms1223×body320valid
236.0ms8000×pre80true
134.0ms598×body160valid
20.0ms206×body80valid

Profiling

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