Details

Time bar (total: 4.3s)

sample26.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
6.0ms254×body80nan

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0217
1416
2696
3956
41256
51406
61426
71426

prune7.0ms

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

rewrite20.0ms

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))
10.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
3.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

series175.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
83.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
53.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

simplify74.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06271691
123791609
250021609

prune373.0ms

Pruning

3 alts after pruning (3 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)
0.2b
(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
0.2b
(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

rewrite27.0ms

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)
7.0ms
(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
6.0ms
(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series275.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
56.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
102.0ms
(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
69.0ms
(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify85.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
06682123
127992002
250012002

prune605.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (sqrt x) 4.0 (+ x 1.0))
0.0b
(* (- x 1.0) 6.0)
0.0b
(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
0.5b
(* (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))) (* (- x 1.0) 6.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
25×add-sqr-sqrt
23×*-un-lft-identity
21×add-cube-cbrt
20×add-cbrt-cube
18×times-frac associate-*l*
13×prod-exp
12×pow1
7×associate-*l/ cbrt-unprod
6×div-exp
4×expm1-log1p-u associate-*r* pow-prod-down log1p-expm1-u add-log-exp
3×cbrt-undiv rec-exp flip3-- 1-exp associate-/r* flip-- associate-/l*
2×frac-times associate-*r/ *-commutative div-inv
1×pow-flip frac-2neg clear-num fma-udef distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 110
Calls
4 calls:
1.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
7.0ms
(* (- x 1.0) 6.0)
3.0ms
(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
11.0ms
(* (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))) (* (- x 1.0) 6.0))

series229.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
40.0ms
(* (- x 1.0) 6.0)
62.0ms
(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
84.0ms
(* (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))) (* (- x 1.0) 6.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0447845
12027713
25003691

prune262.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 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)) 6.0)
0.1b
(pow (/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)) 3)
0.9b
(cbrt (pow (/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)) 3))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
568×times-frac
398×add-sqr-sqrt *-un-lft-identity
266×add-cube-cbrt
146×cbrt-prod
140×unpow-prod-down cube-prod
66×distribute-lft-out-- difference-of-squares
32×div-inv
17×add-exp-log add-cbrt-cube
16×associate-/r*
8×associate-/l*
7×cbrt-undiv div-exp
5×pow1 associate-/r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-exp rem-cube-cbrt
2×cube-div cube-mult frac-2neg unpow3 clear-num associate-/l/ sqr-pow
1×pow-to-exp cbrt-div flip3-- pow-pow pow1/3 div-sub flip-- rem-cbrt-cube
Counts
4 → 454
Calls
4 calls:
10.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
3.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
16.0ms
(pow (/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)) 3)
20.0ms
(cbrt (pow (/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)) 3))

series333.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
53.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
111.0ms
(pow (/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)) 3)
83.0ms
(cbrt (pow (/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)) 3))

simplify97.0ms

Algorithm
egg-herbie
Counts
466 → 466
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
015426695
150016504

prune883.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes14.0ms

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

sample602.0ms

Algorithm
intervals
Results
230.0ms8000×body80valid
198.0ms7827×body80nan