Details

Time bar (total: 22.4s)

sample239.0ms

Algorithm
intervals
Results
146.0ms110×body1280valid
54.0ms83×body640valid
13.0ms41×body320valid
5.0ms256×pre80true
3.0ms15×body160valid
1.0ms7×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2119
done119

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.4b
(log (- 1.0 x))
4.7b
(log (+ 1.0 x))

rewrite48.0ms

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:
33.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.0ms
(log (- 1.0 x))
6.0ms
(log (+ 1.0 x))

series317.0ms

Counts
3 → 9
Calls
3 calls:
174.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
67.0ms
(log (- 1.0 x))
76.0ms
(log (+ 1.0 x))

simplify3.4s

Counts
84 → 84
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
01921243
14531173
213211093
346501039
done50001039

prune347.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.0b

localize31.0ms

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))))
4.4b
(log (- 1.0 x))

rewrite64.0ms

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:
34.0ms
(/ (log (- 1.0 x)) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
26.0ms
(log (- 1.0 x))

series342.0ms

Counts
2 → 6
Calls
2 calls:
284.0ms
(/ (log (- 1.0 x)) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
58.0ms
(log (- 1.0 x))

simplify3.0s

Counts
59 → 59
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01811508
14231463
212441364
345241346
done50001343

prune323.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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))))

rewrite110.0ms

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:
61.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
40.0ms
(/ (- (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))))

series236.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
149.0ms
(/ (- (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))))

simplify1.3s

Counts
162 → 162
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03133610
16933382
216572980
done50002964

prune811.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
30.0ms
(* (cbrt (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0)))) (cbrt (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0)))))
1.0ms
(cbrt (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
1.0ms
(cbrt (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
1.0ms
(cbrt (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))

series1.3s

Counts
4 → 12
Calls
4 calls:
342.0ms
(* (cbrt (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0)))) (cbrt (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0)))))
336.0ms
(cbrt (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
353.0ms
(cbrt (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
285.0ms
(cbrt (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))

simplify2.7s

Counts
93 → 93
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01793398
14473172
213122954
343832328
done50002318

prune621.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes51.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01530
11630
done1630

end0.0ms

sample7.0s

Algorithm
intervals
Results
4.5s3441×body1280valid
1.6s2462×body640valid
350.0ms1227×body320valid
177.0ms8000×pre80true
107.0ms645×body160valid
16.0ms225×body80valid