Details

Time bar (total: 8.3s)

sample44.0ms

Algorithm
intervals
Results
13.0ms291×body80nan
12.0ms256×body80valid

simplify124.0ms

Counts
1 → 1
Iterations
IterNodes
done143
7143
6141
5128
499
370
241
121
011

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.1b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-cbrt-cube add-exp-log
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
3×expm1-log1p-u associate-/r* associate-*l* log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*r/ *-commutative fma-udef flip--
Counts
3 → 90
Calls
3 calls:
29.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
17.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series239.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
51.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
84.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify773.0ms

Counts
99 → 99
Iterations
IterNodes
done5000
21543
1374
0144

prune413.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.1b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*l*
10×add-cbrt-cube add-exp-log
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
3×expm1-log1p-u associate-/r* associate-*r* log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-- div-sub pow-prod-down associate-*l/ *-commutative fma-udef flip--
Counts
3 → 90
Calls
3 calls:
37.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
20.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series223.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
41.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
102.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify762.0ms

Counts
99 → 99
Iterations
IterNodes
done5001
21487
1368
0145

prune512.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ 1.0 x))))
0.0b
(fma (sqrt x) 4.0 (+ 1.0 x))
0.0b
(log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ 1.0 x)))))
0.1b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ 1.0 x)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt *-un-lft-identity
45×times-frac
38×exp-prod
33×add-cube-cbrt
20×log-pow
10×distribute-lft-out-- difference-of-squares
6×add-cbrt-cube add-exp-log
5×pow1 associate-/l* add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×log-prod associate-/r* div-sub div-inv
2×exp-diff associate-/l/
1×cbrt-undiv log-div clear-num frac-2neg flip3-- div-exp rem-log-exp fma-udef flip-- rem-exp-log
Counts
4 → 114
Calls
4 calls:
21.0ms
(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ 1.0 x))))
0.0ms
(fma (sqrt x) 4.0 (+ 1.0 x))
28.0ms
(log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ 1.0 x)))))
20.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ 1.0 x)))

series323.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ 1.0 x))))
39.0ms
(fma (sqrt x) 4.0 (+ 1.0 x))
77.0ms
(log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ 1.0 x)))))
87.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ 1.0 x)))

simplify659.0ms

Counts
126 → 126
Iterations
IterNodes
done5001
21207
1362
0176

prune674.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ 1.0 x))
0.0b
(log1p (expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ 1.0 x)))))
0.1b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ 1.0 x)))
0.5b
(expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ 1.0 x))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
15×times-frac
14×add-cube-cbrt
6×add-cbrt-cube add-exp-log
5×log1p-expm1-u associate-/l*
4×expm1-log1p-u pow1 distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg flip3-- div-sub div-exp log1p-expm1 fma-udef div-inv flip-- expm1-udef
Counts
4 → 72
Calls
4 calls:
0.0ms
(fma (sqrt x) 4.0 (+ 1.0 x))
0.0ms
(log1p (expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ 1.0 x)))))
14.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ 1.0 x)))
0.0ms
(expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ 1.0 x))))

series482.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(fma (sqrt x) 4.0 (+ 1.0 x))
207.0ms
(log1p (expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ 1.0 x)))))
90.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ 1.0 x)))
133.0ms
(expm1 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ 1.0 x))))

simplify588.0ms

Counts
84 → 84
Iterations
IterNodes
done5000
21077
1314
0137

prune439.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample1.6s

Algorithm
intervals
Results
772.0ms8000×body80valid
486.0ms8152×body80nan