Details

Time bar (total: 10.7s)

sample56.0ms

Algorithm
intervals
Results
29.0ms67×body10240exit
11.0ms271×body80valid
2.0ms7×body640valid
1.0ms5×body320valid
1.0ms1×body1280valid
0.0ms4×body160valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1129
2199
3239
done239

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (log (+ 1.0 (exp x))) (* x y))
0.5b
(log (+ 1.0 (exp x)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
8×log-prod
6×add-sqr-sqrt add-cube-cbrt
5×pow1
4×log-div fma-neg prod-diff associate--l+
3×add-exp-log log-pow add-log-exp
2×associate--l- expm1-log1p-u flip3-+ add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
1×sub-neg flip3-- diff-log rem-log-exp flip--
Counts
2 → 45
Calls
2 calls:
6.0ms
(- (log (+ 1.0 (exp x))) (* x y))
3.0ms
(log (+ 1.0 (exp x)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(- (log (+ 1.0 (exp x))) (* x y))
61.0ms
(log (+ 1.0 (exp x)))

simplify748.0ms

Counts
51 → 51
Iterations

Useful iterations: done (746.0ms)

IterNodesCost
094602
1211571
2555528
31862511
done5000505

prune113.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y))
0.0b
(fma x 0.5 (log 2.0))
0.0b
(+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
172×associate-+r+
171×prod-diff
152×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
144×times-frac
86×distribute-rgt-in distribute-lft-in
54×unpow-prod-down
18×unpow2 sqr-pow
10×add-log-exp
6×div-inv
3×pow1 add-exp-log expm1-log1p-u sub-neg fma-def fma-neg add-cbrt-cube log1p-expm1-u
2×diff-log sum-log fma-udef
1×+-commutative associate-+l+ flip3-- flip3-+ associate--l+ flip-- flip-+
Counts
3 → 221
Calls
3 calls:
15.0ms
(- (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y))
0.0ms
(fma x 0.5 (log 2.0))
45.0ms
(+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))

series292.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- (+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* x y))
161.0ms
(fma x 0.5 (log 2.0))
58.0ms
(+ (fma x 0.5 (log 2.0)) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))

simplify3.5s

Counts
230 → 230
Iterations

Useful iterations: 2 (445.0ms)

IterNodesCost
06296429
111925988
247234504
done50004504

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log (+ 1.0 (exp x))) (* x y))
0.5b
(log (+ 1.0 (exp x)))
0.7b
(pow (- (log (+ 1.0 (exp x))) (* x y)) 3)
14.7b
(cbrt (pow (- (log (+ 1.0 (exp x))) (* x y)) 3))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
14×add-sqr-sqrt add-cube-cbrt
12×cbrt-prod
8×pow1 log-prod
6×add-exp-log unpow-prod-down cube-prod
5×add-cbrt-cube add-log-exp
4×cube-div expm1-log1p-u log-div fma-neg prod-diff associate--l+ log1p-expm1-u
3×pow-unpow flip3-- log-pow flip--
2×associate--l- cube-mult cbrt-div flip3-+ unpow3 flip-+ distribute-lft-out sqr-pow
1×pow-to-exp sub-neg pow-pow pow1/3 diff-log rem-log-exp pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 97
Calls
4 calls:
6.0ms
(- (log (+ 1.0 (exp x))) (* x y))
3.0ms
(log (+ 1.0 (exp x)))
4.0ms
(pow (- (log (+ 1.0 (exp x))) (* x y)) 3)
4.0ms
(cbrt (pow (- (log (+ 1.0 (exp x))) (* x y)) 3))

series309.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (log (+ 1.0 (exp x))) (* x y))
62.0ms
(log (+ 1.0 (exp x)))
128.0ms
(pow (- (log (+ 1.0 (exp x))) (* x y)) 3)
59.0ms
(cbrt (pow (- (log (+ 1.0 (exp x))) (* x y)) 3))

simplify547.0ms

Counts
109 → 109
Iterations

Useful iterations: 2 (129.0ms)

IterNodesCost
01701799
14121541
214521402
done50011402

prune275.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(pow (log 2.0) 2)
1.0b
(pow (log 2.0) 2)
1.0b
(pow (log 2.0) 3)
8.0b
(cbrt (fma 0.375 (* (pow (log 2.0) 2) (pow x 2)) (+ (fma 1.5 (* (pow (log 2.0) 2) x) (* 0.75 (* (log 2.0) (pow x 2)))) (pow (log 2.0) 3))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt unpow-prod-down *-un-lft-identity
11×pow1
9×pow-unpow
7×add-exp-log
5×add-cbrt-cube
4×expm1-log1p-u cube-prod log-pow log1p-expm1-u add-log-exp
3×cbrt-prod pow-to-exp pow-pow pow-exp sqr-pow
2×unpow2
1×cube-mult pow1/3 unpow3 rem-cube-cbrt
Counts
4 → 82
Calls
4 calls:
2.0ms
(pow (log 2.0) 2)
1.0ms
(pow (log 2.0) 2)
4.0ms
(pow (log 2.0) 3)
1.0ms
(cbrt (fma 0.375 (* (pow (log 2.0) 2) (pow x 2)) (+ (fma 1.5 (* (pow (log 2.0) 2) x) (* 0.75 (* (log 2.0) (pow x 2)))) (pow (log 2.0) 3))))

series613.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(pow (log 2.0) 2)
0.0ms
(pow (log 2.0) 2)
0.0ms
(pow (log 2.0) 3)
612.0ms
(cbrt (fma 0.375 (* (pow (log 2.0) 2) (pow x 2)) (+ (fma 1.5 (* (pow (log 2.0) 2) x) (* 0.75 (* (log 2.0) (pow x 2)))) (pow (log 2.0) 3))))

simplify774.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (150.0ms)

IterNodesCost
01391495
13601372
217421256
done50011256

prune272.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes81.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1109
done109

end0.0ms

sample1.7s

Algorithm
intervals
Results
999.0ms2440×body10240exit
330.0ms8379×body80valid
72.0ms271×body640valid
50.0ms100×body1280valid
31.0ms190×body320valid
12.0ms123×body160valid