Details

Time bar (total: 12.8s)

sample149.0ms

Algorithm
intervals
Results
88.0ms103×body1280valid
37.0ms91×body640valid
6.0ms33×body320valid
3.0ms256×pre80true
3.0ms25×body160valid
0.0ms4×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2119
done119

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.6b
(log (+ 1.0 x))
6.6b
(log (- 1.0 x))

rewrite33.0ms

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:
20.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.0ms
(log (+ 1.0 x))
7.0ms
(log (- 1.0 x))

series203.0ms

Counts
3 → 9
Calls
3 calls:
119.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
42.0ms
(log (+ 1.0 x))
41.0ms
(log (- 1.0 x))

simplify2.1s

Counts
84 → 84
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01921243
14531173
213221093
346351039
done50001039

prune224.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
6.6b
(log (- 1.0 x))

rewrite27.0ms

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:
18.0ms
(/ (log (- 1.0 x)) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
7.0ms
(log (- 1.0 x))

series175.0ms

Counts
2 → 6
Calls
2 calls:
132.0ms
(/ (log (- 1.0 x)) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
43.0ms
(log (- 1.0 x))

simplify1.8s

Counts
59 → 59
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01811508
14231463
212441364
345241346
done50001343

prune215.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
98×times-frac
89×add-sqr-sqrt
68×associate-*r*
59×*-un-lft-identity
56×unpow-prod-down
47×add-cube-cbrt
27×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×div-exp prod-exp
9×add-cbrt-cube
8×pow1 distribute-lft-out--
6×pow-to-exp pow-exp associate-/l*
4×log-pow difference-of-squares
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 156
Calls
2 calls:
37.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
25.0ms
(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))

series165.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
115.0ms
(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))

simplify810.0ms

Counts
162 → 162
Iterations

Useful iterations: done (804.0ms)

IterNodesCost
03133610
16933382
216572980
done50002964

prune483.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
64×times-frac
47×*-un-lft-identity
35×add-cube-cbrt
28×add-exp-log associate-*r*
16×add-cbrt-cube
13×associate-*l*
11×unpow-prod-down div-exp
10×unswap-sqr
8×pow1 prod-exp distribute-lft-out--
6×associate-/l*
5×cbrt-undiv unpow2 sqr-pow
4×log-pow cbrt-unprod difference-of-squares
3×associate-/r* div-inv
2×expm1-log1p-u pow-to-exp pow-exp log1p-expm1-u associate-/l/ add-log-exp
1×frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 121
Calls
2 calls:
36.0ms
(* (/ 1/2 1.0) (/ (pow x 2) 1.0))
23.0ms
(/ (- (log 1.0) (fma 1.0 x (* (/ 1/2 1.0) (/ (pow x 2) 1.0)))) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))

series136.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (/ 1/2 1.0) (/ (pow x 2) 1.0))
110.0ms
(/ (- (log 1.0) (fma 1.0 x (* (/ 1/2 1.0) (/ (pow x 2) 1.0)))) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))

simplify1.2s

Counts
127 → 127
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02483182
16593069
219582813
done50012810

prune407.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes33.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01730
11830
done1830

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.9s3441×body1280valid
997.0ms2504×body640valid
234.0ms1199×body320valid
99.0ms8000×pre80true
70.0ms636×body160valid
10.0ms220×body80valid