Details

Time bar (total: 11.5s)

sample41.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
10.0ms291×body80nan

simplify108.0ms

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite53.0ms

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:
26.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
24.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series235.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(* 6.0 (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
54.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
92.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify1.1s

Counts
99 → 99
Iterations
IterNodes
done5000
21543
1374
0144

prune471.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

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)))

rewrite40.0ms

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:
22.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
16.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series218.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
50.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
82.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify1.1s

Counts
99 → 99
Iterations
IterNodes
done5001
21487
1368
0145

prune538.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

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:
18.0ms
(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
21.0ms
(log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
20.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series413.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
57.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
110.0ms
(log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
106.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify1.0s

Counts
126 → 126
Iterations
IterNodes
done5001
21205
1362
0175

prune611.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (fma (sqrt x) 4.0 x) 1.0)
0.0b
(* 6.0 (+ 0 (/ (- x 1.0) (+ (fma (sqrt x) 4.0 x) 1.0))))
0.0b
(fma (sqrt x) 4.0 x)
0.1b
(/ (- x 1.0) (+ (fma (sqrt x) 4.0 x) 1.0))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
30×add-sqr-sqrt
20×times-frac
18×add-cube-cbrt
8×add-cbrt-cube add-exp-log distribute-lft-out
6×pow1 add-log-exp
5×associate-/l* distribute-lft-out-- difference-of-squares
4×expm1-log1p-u associate-/r* associate-*r* log1p-expm1-u
3×fma-def flip3-+ associate-*l* flip-+
2×associate-*r/ associate-/r/ fma-udef associate-/l/
1×distribute-rgt-in cbrt-undiv +-commutative associate-+l+ clear-num sum-log frac-2neg distribute-lft-in flip3-- div-sub div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv flip-- unswap-sqr
Counts
4 → 101
Calls
4 calls:
5.0ms
(+ (fma (sqrt x) 4.0 x) 1.0)
151.0ms
(* 6.0 (+ 0 (/ (- x 1.0) (+ (fma (sqrt x) 4.0 x) 1.0))))
0.0ms
(fma (sqrt x) 4.0 x)
31.0ms
(/ (- x 1.0) (+ (fma (sqrt x) 4.0 x) 1.0))

series346.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ (fma (sqrt x) 4.0 x) 1.0)
168.0ms
(* 6.0 (+ 0 (/ (- x 1.0) (+ (fma (sqrt x) 4.0 x) 1.0))))
41.0ms
(fma (sqrt x) 4.0 x)
82.0ms
(/ (- x 1.0) (+ (fma (sqrt x) 4.0 x) 1.0))

simplify2.1s

Counts
113 → 113
Iterations
IterNodes
done5002
22282
1484
0176

prune578.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes27.0ms

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
done16
216
115
012

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.3s8152×body80nan
421.0ms8000×body80valid