Details

Time bar (total: 4.4s)

sample23.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
6.0ms252×body80nan

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0217
1416
2696
3956
41256
51406
61426
71426

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
128×times-frac
95×add-sqr-sqrt *-un-lft-identity
67×add-cube-cbrt
16×associate-/r*
14×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
8×div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/l/
1×flip3-- div-sub associate-/r/ flip-- fma-udef
Counts
3 → 142
Calls
3 calls:
1.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
3.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
9.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series166.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
52.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
77.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify75.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06271691
123791609
250021609

prune353.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.0b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.1b
(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
0.2b
(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
168×times-frac
104×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×associate-/r*
18×add-exp-log add-cbrt-cube
12×div-inv associate-/l*
8×cbrt-undiv div-exp
4×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×associate-/r/
Counts
4 → 202
Calls
4 calls:
3.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
3.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
6.0ms
(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
6.0ms
(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series269.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
54.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
60.0ms
(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
107.0ms
(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify303.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
06682123
127992002
250012002

prune585.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

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

rewrite19.0ms

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-exp-log add-cbrt-cube
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 associate-/l/ unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip-- fma-udef
Counts
3 → 90
Calls
3 calls:
8.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
1.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
6.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series198.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
41.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
75.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0357827
11182752
25001738

prune226.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.1b
(/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0)))
0.2b
(* (/ (+ (sqrt x) (sqrt 1.0)) 1) (* (/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0))
0.2b
(* (/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
81×*-un-lft-identity
70×times-frac
50×associate-*l*
48×sqrt-prod
41×add-exp-log add-cube-cbrt
32×add-cbrt-cube
28×difference-of-squares
17×prod-exp
14×distribute-lft-out--
12×cbrt-unprod
11×pow1 div-exp
9×associate-/l*
7×cbrt-undiv
6×distribute-lft-out
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×1-exp associate-/r* div-inv
2×*-commutative associate-/l/ unswap-sqr
1×frac-times flip3-- frac-2neg div-sub associate-*r/ clear-num flip-- fma-udef
Counts
4 → 168
Calls
4 calls:
1.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
11.0ms
(/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0)))
19.0ms
(* (/ (+ (sqrt x) (sqrt 1.0)) 1) (* (/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0))
15.0ms
(* (/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)

series823.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
148.0ms
(/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0)))
444.0ms
(* (/ (+ (sqrt x) (sqrt 1.0)) 1) (* (/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0))
186.0ms
(* (/ (- (sqrt x) (sqrt 1.0)) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)

simplify98.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08202483
135962143
250012125

prune406.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01211
11211

end0.0ms

sample619.0ms

Algorithm
intervals
Results
235.0ms8000×body80valid
201.0ms7850×body80nan