Details

Time bar (total: 13.5s)

sample149.0ms

Algorithm
intervals
Results
68.0ms102×body1280valid
34.0ms83×body640valid
12.0ms248×body80nan
11.0ms45×body320valid
3.0ms18×body160valid
1.0ms8×body80valid

simplify127.0ms

Counts
1 → 1
Iterations
IterNodes
done149
8149
7145
6122
596
465
340
225
118
09

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x 1.0) (- 1.0 x))
5.6b
(log (/ (+ x 1.0) (- 1.0 x)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/r*
4×add-cbrt-cube associate-/r/ associate-/l*
3×pow1
2×expm1-log1p-u flip3-- div-exp rem-log-exp log1p-expm1-u div-inv flip-- add-log-exp associate-/l/
1×cbrt-undiv log-div clear-num frac-2neg flip3-+ log-pow flip-+
Counts
2 → 86
Calls
2 calls:
20.0ms
(/ (+ x 1.0) (- 1.0 x))
11.0ms
(log (/ (+ x 1.0) (- 1.0 x)))

series219.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (+ x 1.0) (- 1.0 x))
171.0ms
(log (/ (+ x 1.0) (- 1.0 x)))

simplify820.0ms

Counts
92 → 92
Iterations
IterNodes
done5002
21364
1350
0151

prune396.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune29.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))) (log (fma x (+ x 1.0) (* 1.0 1.0))))
0.0b
(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
5.6b
(log (fma x (+ x 1.0) (* 1.0 1.0)))
5.6b
(log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
410×add-sqr-sqrt
384×*-un-lft-identity
300×times-frac
218×log-prod
208×difference-of-squares
156×unpow-prod-down cube-prod
106×associate-+l+
104×sqr-pow
98×add-cube-cbrt
80×distribute-lft-out
65×distribute-lft-out--
25×associate-/r*
13×difference-cubes
11×pow1
10×add-exp-log
7×log-pow
6×add-cbrt-cube associate-/r/
4×expm1-log1p-u fma-def log1p-expm1-u associate-/l* add-log-exp
3×associate-+r+ flip3-- rem-log-exp div-inv flip--
2×log-div flip3-+ div-exp flip-+ associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg associate-+l-
Counts
4 → 411
Calls
4 calls:
50.0ms
(+ (log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))) (log (fma x (+ x 1.0) (* 1.0 1.0))))
64.0ms
(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
2.0ms
(log (fma x (+ x 1.0) (* 1.0 1.0)))
37.0ms
(log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))))

series616.0ms

Counts
4 → 12
Calls
4 calls:
361.0ms
(+ (log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))) (log (fma x (+ x 1.0) (* 1.0 1.0))))
55.0ms
(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
93.0ms
(log (fma x (+ x 1.0) (* 1.0 1.0)))
107.0ms
(log (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))))

simplify1.4s

Counts
423 → 423
Iterations
IterNodes
done5000
23632
1939
0421

prune1.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (fma 2.0 x (fma (log 1.0) 2 (* 1.6666666666666665 (pow x 3)))) (* (/ (pow x 3) 1.0) (/ 1.0 1.0)))
0.1b
(* 1.6666666666666665 (pow x 3))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×associate-*r*
8×*-un-lft-identity add-cube-cbrt
7×add-exp-log
4×unpow-prod-down add-cbrt-cube cube-prod add-log-exp unswap-sqr
3×fma-neg associate-*l* prod-diff prod-exp
2×expm1-log1p-u pow1 log1p-expm1-u sqr-pow
1×cube-mult pow-to-exp sub-neg flip3-- diff-log unpow3 pow-exp associate--l+ *-commutative cbrt-unprod fma-udef flip--
Counts
2 → 54
Calls
2 calls:
5.0ms
(- (fma 2.0 x (fma (log 1.0) 2 (* 1.6666666666666665 (pow x 3)))) (* (/ (pow x 3) 1.0) (/ 1.0 1.0)))
20.0ms
(* 1.6666666666666665 (pow x 3))

series155.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(- (fma 2.0 x (fma (log 1.0) 2 (* 1.6666666666666665 (pow x 3)))) (* (/ (pow x 3) 1.0) (/ 1.0 1.0)))
62.0ms
(* 1.6666666666666665 (pow x 3))

simplify793.0ms

Counts
60 → 60
Iterations
IterNodes
done5001
21036
1262
0104

prune342.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done14
114
013

end0.0ms

sample6.1s

Algorithm
intervals
Results
2.9s3486×body1280valid
1.6s2438×body640valid
605.0ms7876×body80nan
443.0ms1248×body320valid
99.0ms615×body160valid
16.0ms213×body80valid