Details

Time bar (total: 39.2s)

sample100.0ms

Algorithm
intervals
Results
37.0ms57×body1280valid
30.0ms43×body640valid
12.0ms128×body80valid
5.0ms17×body320valid
2.0ms11×body160valid

simplify1.2s

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.2b

localize12.0ms

Local error

Found 3 expressions with local error:

2.9b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
74×add-sqr-sqrt
63×times-frac add-cube-cbrt
54×prod-diff
18×fma-neg
17×distribute-lft-out
10×associate-/r/
8×add-exp-log
7×add-log-exp
6×flip3-+ flip-+
5×add-cbrt-cube div-inv
4×associate-/r* difference-of-squares
3×expm1-log1p-u pow1 fma-def insert-posit16 log1p-expm1-u associate-/l*
2×expm1-def difference-of-sqr-1 div-exp
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log flip-- distribute-lft-out--
Counts
3 → 150
Calls
3 calls:
Slowest
72.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
22.0ms
(/ 2 (+ 1 (exp (* -2 x))))
7.0ms
(+ 1 (exp (* -2 x)))

series110.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
73.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
25.0ms
(/ 2 (+ 1 (exp (* -2 x))))
12.0ms
(+ 1 (exp (* -2 x)))

simplify613.0ms

Counts
230 → 159

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

3.0b
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
2.9b
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b
(/ 2 (+ 1 (exp (* -2 x))))
0.0b
(+ 1 (exp (* -2 x)))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
168×*-un-lft-identity
130×add-sqr-sqrt
108×prod-diff add-cube-cbrt
102×times-frac
59×log-prod
56×exp-sum
26×distribute-lft-out
18×fma-neg
16×associate-/r/
11×log-pow
10×exp-prod
9×flip3-+ add-exp-log flip-+
8×div-inv add-log-exp difference-of-squares
6×add-cbrt-cube
5×pow1
4×expm1-log1p-u associate-/r* difference-of-sqr-1 insert-posit16 log1p-expm1-u
3×fma-def associate-/l*
2×expm1-def sub-neg div-exp distribute-lft-out--
1×cbrt-undiv +-commutative log-div clear-num sum-log frac-2neg flip3-- exp-diff diff-log rem-log-exp flip--
Counts
4 → 232
Calls
4 calls:
Slowest
154.0ms
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
58.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
11.0ms
(/ 2 (+ 1 (exp (* -2 x))))
6.0ms
(+ 1 (exp (* -2 x)))

series208.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
92.0ms
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
61.0ms
(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
36.0ms
(/ 2 (+ 1 (exp (* -2 x))))
19.0ms
(+ 1 (exp (* -2 x)))

simplify800.0ms

Counts
374 → 244

prune2.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

19.1b
(- (fma (pow x 5) 2/15 x) (* (* x (* x x)) 1/3))
0.1b
(* (* x (* x x)) 1/3)
0.1b
(* x (* x x))
0.0b
(fma (pow x 5) 2/15 x)

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1
18×add-cbrt-cube add-exp-log
9×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
8×*-un-lft-identity add-cube-cbrt
6×add-log-exp
5×pow-prod-up
4×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u
3×fma-neg prod-diff
2×*-commutative fma-udef
1×pow2 sub-neg pow-plus flip3-- diff-log cube-unmult associate--l+ pow-sqr flip-- unswap-sqr
Counts
4 → 84
Calls
4 calls:
Slowest
70.0ms
(* (* x (* x x)) 1/3)
26.0ms
(* x (* x x))
10.0ms
(- (fma (pow x 5) 2/15 x) (* (* x (* x x)) 1/3))
0.0ms
(fma (pow x 5) 2/15 x)

series422.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
225.0ms
(fma (pow x 5) 2/15 x)
68.0ms
(- (fma (pow x 5) 2/15 x) (* (* x (* x x)) 1/3))
68.0ms
(* (* x (* x x)) 1/3)
61.0ms
(* x (* x x))

simplify313.0ms

Counts
99 → 96

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

3.0b
(log (exp (- (/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x))))) 1)))
2.9b
(- (/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x))))) 1)
0.5b
(/ 2 (sqrt (+ 1 (exp (* -2 x)))))
0.0b
(/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x)))))

rewrite657.0ms

Algorithm
rewrite-expression-head
Rules
2790×times-frac
2453×*-un-lft-identity
1767×add-sqr-sqrt
1651×add-cube-cbrt
1598×sqrt-prod
1170×prod-diff
590×log-prod
587×exp-sum
392×distribute-lft-out
195×fma-neg
132×sqrt-div associate-/r/
66×flip3-+ flip-+ div-inv
30×associate-/l*
28×difference-of-squares
26×log-pow
25×exp-prod
17×add-exp-log
14×associate-/r* difference-of-sqr-1
11×add-cbrt-cube
7×div-exp
6×add-log-exp
5×pow1
4×expm1-log1p-u cbrt-undiv insert-posit16 log1p-expm1-u
3×expm1-def
2×clear-num sub-neg frac-2neg distribute-lft-out--
1×log-div flip3-- exp-diff diff-log rem-log-exp flip-- associate-/l/
Counts
4 → 1739
Calls
4 calls:
Slowest
299.0ms
(log (exp (- (/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x))))) 1)))
215.0ms
(- (/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x))))) 1)
40.0ms
(/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x)))))
11.0ms
(/ 2 (sqrt (+ 1 (exp (* -2 x)))))

series270.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
95.0ms
(log (exp (- (/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x))))) 1)))
77.0ms
(/ 2 (sqrt (+ 1 (exp (* -2 x)))))
72.0ms
(- (/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x))))) 1)
26.0ms
(/ (/ 2 (sqrt (+ 1 (exp (* -2 x))))) (sqrt (+ 1 (exp (* -2 x)))))

simplify3.3s

Counts
3158 → 1751

prune22.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes220.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.5b

bsearch184.0ms

end0.0ms

sample2.8s

Algorithm
intervals
Results
982.0ms1673×body1280valid
795.0ms4140×body80valid
543.0ms1287×body640valid
214.0ms606×body320valid
50.0ms294×body160valid