Details

Time bar (total: 17.5s)

sample219.0ms

Algorithm
intervals
Results
144.0ms118×body1280valid
42.0ms73×body640valid
9.0ms33×body320valid
5.0ms256×pre80true
4.0ms24×body160valid
1.0ms8×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2119
done119

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.9b
(log (+ 1.0 x))
6.9b
(log (- 1.0 x))

rewrite62.0ms

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:
49.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.0ms
(log (+ 1.0 x))
7.0ms
(log (- 1.0 x))

series733.0ms

Counts
3 → 9
Calls
3 calls:
626.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
60.0ms
(log (+ 1.0 x))
47.0ms
(log (- 1.0 x))

simplify1.3s

Counts
84 → 84
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01921243
14601173
218581093
done50001070

prune346.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 58.8b

localize27.0ms

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))))
6.9b
(log (- 1.0 x))

rewrite24.0ms

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:
16.0ms
(/ (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))

series237.0ms

Counts
2 → 6
Calls
2 calls:
151.0ms
(/ (log (- 1.0 x)) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
86.0ms
(log (- 1.0 x))

simplify1.1s

Counts
59 → 59
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01811508
14291463
216771366
done50011361

prune314.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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))))

rewrite122.0ms

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:
68.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
45.0ms
(/ (- (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))))

series232.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
155.0ms
(/ (- (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))))

simplify1.9s

Counts
162 → 162
Iterations

Useful iterations: done (1.9s)

IterNodesCost
03133610
18233382
237322980
done50012976

prune617.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
0.6b
(cbrt (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
52×*-un-lft-identity
37×add-sqr-sqrt
22×pow1 distribute-lft-out--
18×cbrt-div
15×add-cube-cbrt swap-sqr
11×log-pow
9×flip3-- pow1/3 associate-*r* associate-*l* flip--
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 119
Calls
4 calls:
73.0ms
(* (cbrt (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
5.0ms
(cbrt (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
5.0ms
(cbrt (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
5.0ms
(cbrt (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
375.0ms
(* (cbrt (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
283.0ms
(cbrt (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
285.0ms
(cbrt (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
317.0ms
(cbrt (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify1.2s

Counts
131 → 131
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02175308
15474932
220694674
done50014128

prune834.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes30.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01530
11630
done1630

end0.0ms

sample6.8s

Algorithm
intervals
Results
4.3s3435×body1280valid
1.6s2516×body640valid
380.0ms1222×body320valid
176.0ms8000×pre80true
100.0ms618×body160valid
15.0ms209×body80valid