Details

Time bar (total: 17.8s)

sample309.0ms

Algorithm
intervals
Results
202.0ms122×body1280valid
56.0ms77×body640valid
12.0ms32×body320valid
7.0ms256×pre80true
5.0ms22×body160valid
0.0ms3×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.2b
(log (+ 1.0 x))
6.2b
(log (- 1.0 x))

rewrite30.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-- div-sub rem-log-exp flip--
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 75
Calls
3 calls:
18.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.0ms
(log (+ 1.0 x))
5.0ms
(log (- 1.0 x))

series326.0ms

Counts
3 → 9
Calls
3 calls:
173.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
73.0ms
(log (+ 1.0 x))
79.0ms
(log (- 1.0 x))

simplify1.8s

Counts
84 → 84
Iterations
IterNodes
done5000
21418
1457
0191

prune418.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.8b

localize39.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
6.2b
(log (- 1.0 x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×times-frac add-cube-cbrt
7×pow1
5×log-prod add-exp-log log-pow
4×log-div add-cbrt-cube associate-/l*
3×associate-/r*
2×expm1-log1p-u flip3-- div-sub log1p-expm1-u flip-- add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp rem-log-exp div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls
2 calls:
14.0ms
(/ (log (- 1.0 x)) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
10.0ms
(log (- 1.0 x))

series252.0ms

Counts
2 → 6
Calls
2 calls:
196.0ms
(/ (log (- 1.0 x)) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
55.0ms
(log (- 1.0 x))

simplify1.9s

Counts
59 → 59
Iterations
IterNodes
done5000
21333
1433
0182

prune344.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×add-sqr-sqrt
18×times-frac
12×add-cube-cbrt
8×distribute-lft-out--
6×associate-/l*
5×pow1
4×log-pow difference-of-squares
3×associate-/r* add-cbrt-cube add-exp-log
2×associate-/l/
1×expm1-log1p-u cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 44
Calls
1 calls:
18.0ms
(/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))

series178.0ms

Counts
1 → 3
Calls
1 calls:
178.0ms
(/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))

simplify2.2s

Counts
47 → 47
Iterations
IterNodes
done5000
32418
2620
1229
0100

prune282.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(expm1 (/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0)))))
0.0b
(/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
0.0b
(log1p (expm1 (/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
22×add-sqr-sqrt
18×times-frac
14×add-cube-cbrt
8×distribute-lft-out--
7×pow1
6×associate-/l*
5×add-cbrt-cube add-exp-log
4×log-pow log1p-expm1-u difference-of-squares
3×expm1-log1p-u associate-/r* add-log-exp
2×associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg flip3-- div-sub div-exp log1p-expm1 div-inv flip-- expm1-udef
Counts
3 → 66
Calls
3 calls:
0.0ms
(expm1 (/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0)))))
18.0ms
(/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
0.0ms
(log1p (expm1 (/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))))

series623.0ms

Counts
3 → 9
Calls
3 calls:
198.0ms
(expm1 (/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0)))))
128.0ms
(/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
297.0ms
(log1p (expm1 (/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))))

simplify1.9s

Counts
75 → 75
Iterations
IterNodes
done5001
32868
2797
1312
0138

prune458.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done21
121
017

end0.0ms

sample6.6s

Algorithm
intervals
Results
4.0s3450×body1280valid
1.7s2497×body640valid
398.0ms1208×body320valid
173.0ms8000×pre80true
95.0ms614×body160valid
15.0ms231×body80valid