Details

Time bar (total: 1.1m)

sample671.0ms

Algorithm
intervals
Results
211.0ms121×body1280valid
130.0ms256×pre80true
59.0ms80×body640valid
20.0ms28×body320valid
4.0ms17×body160valid
1.0ms10×body80valid

simplify11.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.3b

localize546.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.7b
(log (- 1.0 x))
5.7b
(log (+ 1.0 x))

rewrite63.0ms

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 frac-2neg flip3-+ div-exp clear-num flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 75
Calls
3 calls:
32.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
13.0ms
(log (- 1.0 x))
12.0ms
(log (+ 1.0 x))

series885.0ms

Counts
3 → 9
Calls
3 calls:
377.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
95.0ms
(log (- 1.0 x))
413.0ms
(log (+ 1.0 x))

simplify7.9s

Counts
84 → 84
Iterations
IterNodes
done5001
21435
1460
0192

prune930.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 58.8b

localize49.0ms

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))))
5.7b
(log (- 1.0 x))

rewrite437.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt times-frac
7×pow1
5×add-exp-log log-prod log-pow
4×log-div add-cbrt-cube associate-/l*
3×associate-/r*
2×expm1-log1p-u flip3-- div-sub flip-- log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls
2 calls:
395.0ms
(/ (log (- 1.0 x)) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
20.0ms
(log (- 1.0 x))

series744.0ms

Counts
2 → 6
Calls
2 calls:
590.0ms
(/ (log (- 1.0 x)) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
153.0ms
(log (- 1.0 x))

simplify12.0s

Counts
59 → 59
Iterations
IterNodes
done5000
34991
21347
1435
0183

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize143.0ms

Local error

Found 1 expressions with local error:

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

rewrite51.0ms

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×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-sub div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 44
Calls
1 calls:
47.0ms
(/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* x 1.0))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))

series196.0ms

Counts
1 → 3
Calls
1 calls:
196.0ms
(/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* x 1.0))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))

simplify8.7s

Counts
47 → 47
Iterations
IterNodes
done5001
32259
2625
1228
0100

prune502.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

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

rewrite627.0ms

Algorithm
rewrite-expression-head
Rules
213×*-un-lft-identity
168×times-frac
165×add-sqr-sqrt
136×cbrt-prod
93×add-cube-cbrt
72×distribute-lft-out--
47×pow1
43×swap-sqr
36×log-pow
25×associate-*r* associate-*l*
24×difference-of-squares
18×associate-/l*
12×add-exp-log
10×add-cbrt-cube
9×associate-/r* unswap-sqr
7×div-inv
6×pow1/3 associate-/l/
4×expm1-log1p-u cbrt-div log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip--
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 257
Calls
4 calls:
413.0ms
(* (cbrt (/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* x 1.0))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))) (cbrt (/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* x 1.0))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))))
49.0ms
(/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* x 1.0))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
46.0ms
(/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* x 1.0))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
83.0ms
(/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* x 1.0))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))

series1.3s

Counts
4 → 12
Calls
4 calls:
577.0ms
(* (cbrt (/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* x 1.0))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))) (cbrt (/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* x 1.0))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))))
212.0ms
(/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* x 1.0))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
190.0ms
(/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* x 1.0))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
302.0ms
(/ (- (log 1.0) (fma 1/2 (* (/ x 1.0) (/ x 1.0)) (* x 1.0))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))

simplify8.4s

Counts
269 → 269
Iterations
IterNodes
done5000
33819
21210
1482
0236

prune5.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes387.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done23
123
018

end0.0ms

sample15.9s

Algorithm
intervals
Results
10.4s3456×body1280valid
2.8s2423×body640valid
1.8s1249×body320valid
237.0ms8000×pre80true
232.0ms670×body160valid
20.0ms202×body80valid