Details

Time bar (total: 16.9s)

sample104.0ms

Algorithm
intervals
Results
33.0ms76×body1280valid
32.0ms88×body10240exit
17.0ms55×body640valid
7.0ms31×body320valid
5.0ms82×body80valid
1.0ms12×body160valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
211
111
05

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.9b

localize17.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ (exp x) (- (exp x) 1))
4.0b
(- (exp x) 1)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
21×times-frac add-cube-cbrt
10×difference-of-squares
9×prod-diff
7×associate-/r*
5×difference-of-sqr-1 distribute-lft-out--
4×add-cbrt-cube add-log-exp
3×fma-neg add-exp-log associate-/l*
2×expm1-log1p-u pow1 flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip--
1×cbrt-undiv expm1-def clear-num sub-neg frac-2neg diff-log div-exp div-inv
Counts
2 → 80
Calls
2 calls:
50.0ms
(/ (exp x) (- (exp x) 1))
20.0ms
(- (exp x) 1)

series57.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (exp x) (- (exp x) 1))
25.0ms
(- (exp x) 1)

simplify3.1s

Counts
86 → 86
Iterations
IterNodes
46469
31628
2568
1250
0126

prune731.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize8.0ms

Local error

Found 1 expressions with local error:

0.7b
(/ (exp x) (expm1 x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube associate-/l*
2×add-exp-log
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
6.0ms
(/ (exp x) (expm1 x))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ (exp x) (expm1 x))

simplify1.8s

Counts
33 → 33
Iterations
IterNodes
53610
41592
3765
2307
1118
060

prune252.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (expm1 x))
0.7b
(* (exp x) (/ 1 (expm1 x)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
13×associate-*r*
11×add-exp-log
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×expm1-log1p-u cbrt-undiv rec-exp 1-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
2 → 73
Calls
2 calls:
9.0ms
(/ 1 (expm1 x))
20.0ms
(* (exp x) (/ 1 (expm1 x)))

series69.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ 1 (expm1 x))
30.0ms
(* (exp x) (/ 1 (expm1 x)))

simplify3.7s

Counts
79 → 79
Iterations
IterNodes
54092
41991
31116
2540
1237
0101

prune747.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity
4×add-log-exp
3×add-sqr-sqrt fma-def add-cube-cbrt
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u distribute-lft-out
1×+-commutative sum-log flip3-+ flip-+ fma-udef div-inv
Counts
2 → 30
Calls
2 calls:
6.0ms
(+ 1/2 (/ 1 x))
0.0ms
(fma x 1/12 (+ 1/2 (/ 1 x)))

series43.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(+ 1/2 (/ 1 x))
22.0ms
(fma x 1/12 (+ 1/2 (/ 1 x)))

simplify2.2s

Counts
36 → 36
Iterations
IterNodes
43677
31029
2304
1106
045

prune239.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
14
04

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.6s2532×body10240exit
1.0s2286×body1280valid
518.0ms1578×body640valid
182.0ms2937×body80valid
170.0ms815×body320valid
51.0ms386×body160valid