Details

Time bar (total: 14.5s)

sample65.0ms

Algorithm
intervals
Results
29.0ms77×body1280valid
11.0ms45×body640valid
9.0ms171×body80valid
5.0ms29×body320valid
1.0ms15×body160valid

simplify22.0ms

Counts
1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (expm1 x) x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-sub div-exp insert-posit16 log1p-expm1-u div-inv expm1-udef add-log-exp
Counts
1 → 31
Calls
1 calls:
Slowest
8.0ms
(/ (expm1 x) x)

series67.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
67.0ms
(/ (expm1 x) x)

simplify3.9s

Counts
34 → 34

prune264.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (/ x (expm1 x)))
0.0b
(/ x (expm1 x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 109
Calls
2 calls:
Slowest
11.0ms
(/ 1 (/ x (expm1 x)))
8.0ms
(/ x (expm1 x))

series101.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
57.0ms
(/ 1 (/ x (expm1 x)))
44.0ms
(/ x (expm1 x))

simplify1.0s

Counts
115 → 115

prune825.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (expm1 x))
0.0b
(/ (/ 1 x) (/ 1 (expm1 x)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
46×add-exp-log
34×div-exp
30×div-inv
16×associate-/r* add-cbrt-cube associate-/l*
9×cbrt-undiv rec-exp 1-exp
3×pow1
2×expm1-log1p-u clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow associate-/l/
Counts
2 → 264
Calls
2 calls:
Slowest
13.0ms
(/ (/ 1 x) (/ 1 (expm1 x)))
8.0ms
(/ 1 (expm1 x))

series101.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
73.0ms
(/ (/ 1 x) (/ 1 (expm1 x)))
28.0ms
(/ 1 (expm1 x))

simplify1.6s

Counts
270 → 270

prune2.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma 1/12 x (+ (/ 1 x) -1/2))
0.0b
(/ (/ 1 x) (fma 1/12 x (+ (/ 1 x) -1/2)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
44×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/l*
11×add-exp-log
7×add-cbrt-cube
6×div-exp
5×div-inv
3×cbrt-undiv associate-/r*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
1×rec-exp clear-num frac-2neg 1-exp fma-udef associate-/l/
Counts
2 → 86
Calls
2 calls:
Slowest
14.0ms
(/ (/ 1 x) (fma 1/12 x (+ (/ 1 x) -1/2)))
1.0ms
(fma 1/12 x (+ (/ 1 x) -1/2))

series73.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
43.0ms
(/ (/ 1 x) (fma 1/12 x (+ (/ 1 x) -1/2)))
29.0ms
(fma 1/12 x (+ (/ 1 x) -1/2))

simplify860.0ms

Counts
92 → 92

prune792.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes20.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.1s2314×body1280valid
551.0ms1612×body640valid
440.0ms5516×body80valid
167.0ms798×body320valid
59.0ms423×body160valid