Details

Time bar (total: 15.2s)

sample48.0ms

Algorithm
intervals
Results
35.0ms528×body80valid

simplify2.3s

Counts
1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (- (* x x) 1))
0.0b
(- (* x x) 1)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
7×add-log-exp
6×exp-prod
5×add-sqr-sqrt *-un-lft-identity
4×difference-of-squares
3×add-cube-cbrt
2×pow1 sub-neg add-cbrt-cube diff-log difference-of-sqr-1 exp-sum add-exp-log insert-posit16 rem-exp-log
1×flip3-- exp-diff flip--
Counts
2 → 35
Calls
2 calls:
Slowest
29.0ms
(exp (- (* x x) 1))
7.0ms
(- (* x x) 1)

series82.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
54.0ms
(- (* x x) 1)
28.0ms
(exp (- (* x x) 1))

simplify1.7s

Counts
41 → 41

prune370.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (* x x))
0.0b
(/ (exp (* x x)) E)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-log-exp
3×associate-/r* add-exp-log associate-/l*
2×pow1 div-exp insert-posit16
1×cbrt-undiv e-exp-1 exp-prod clear-num frac-2neg exp-to-pow div-inv rem-exp-log
Counts
2 → 40
Calls
2 calls:
Slowest
22.0ms
(/ (exp (* x x)) E)
8.0ms
(exp (* x x))

series83.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
61.0ms
(/ (exp (* x x)) E)
22.0ms
(exp (* x x))

simplify777.0ms

Counts
46 → 46

prune396.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(pow (exp x) x)
0.0b
(/ (pow (exp x) x) E)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
15×unpow-prod-down
7×add-exp-log associate-/l*
6×div-exp
5×sqr-pow
4×pow-pow add-cbrt-cube
3×pow-to-exp pow1 e-exp-1 pow-unpow exp-prod associate-/r* pow-exp
2×insert-posit16 add-log-exp
1×cbrt-undiv clear-num frac-2neg div-inv
Counts
2 → 70
Calls
2 calls:
Slowest
18.0ms
(/ (pow (exp x) x) E)
11.0ms
(pow (exp x) x)

series140.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
95.0ms
(/ (pow (exp x) x) E)
45.0ms
(pow (exp x) x)

simplify2.4s

Counts
76 → 76

prune669.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (/ (pow (exp x) x) E)) (sqrt (/ (pow (exp x) x) E)))
0.0b
(pow (exp x) x)
0.0b
(pow (exp x) x)
0.0b
(/ (pow (exp x) x) E)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
160×add-sqr-sqrt
142×sqrt-prod
135×times-frac
86×*-un-lft-identity add-cube-cbrt
64×unpow-prod-down
30×swap-sqr
28×associate-*r* associate-*l* sqr-pow
25×unswap-sqr
21×pow1
11×add-exp-log
8×pow-pow sqrt-pow1 add-cbrt-cube pow1/2
7×associate-/l*
6×pow-unpow exp-prod div-exp
5×pow-prod-up div-inv
4×pow-to-exp sqrt-div pow-exp insert-posit16 add-log-exp
3×e-exp-1 associate-/r* pow-prod-down pow-sqr
1×pow2 frac-times cbrt-undiv clear-num rem-square-sqrt frac-2neg pow-plus sqrt-unprod associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 231
Calls
4 calls:
Slowest
49.0ms
(* (sqrt (/ (pow (exp x) x) E)) (sqrt (/ (pow (exp x) x) E)))
8.0ms
(/ (pow (exp x) x) E)
7.0ms
(pow (exp x) x)
5.0ms
(pow (exp x) x)

series275.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
91.0ms
(* (sqrt (/ (pow (exp x) x) E)) (sqrt (/ (pow (exp x) x) E)))
90.0ms
(/ (pow (exp x) x) E)
47.0ms
(pow (exp x) x)
47.0ms
(pow (exp x) x)

simplify1.8s

Counts
243 → 243

prune2.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s15795×body80valid