Details

Time bar (total: 4.6s)

sample45.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
14.0ms273×body80nan

simplify24.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

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

localize9.0ms

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

rewrite21.0ms

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:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
12.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
2.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

series184.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
85.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
59.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

simplify87.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
06271691
123791609
250021609

prune395.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

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

rewrite29.0ms

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:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
16.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
10.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series207.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
85.0ms
(* (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
78.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0357827
11182752
25001738

prune252.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
652×times-frac
371×add-sqr-sqrt *-un-lft-identity
279×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
36×div-inv
27×add-exp-log
24×associate-/l*
17×div-exp add-cbrt-cube
16×associate-/r*
9×cbrt-undiv
3×pow1 expm1-log1p-u div-sub log1p-expm1-u associate-/l/ add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×flip3-- associate-/r/ flip-- fma-udef
Counts
3 → 356
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
21.0ms
(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
9.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series211.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
88.0ms
(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
84.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify95.0ms

Algorithm
egg-herbie
Counts
365 → 365
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
016245786
150015326

prune731.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (pow (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 3)) 6.0)
0.1b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
0.1b
(cbrt (pow (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 3))
0.1b
(pow (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 3)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
132×add-sqr-sqrt
117×*-un-lft-identity
107×times-frac
94×cbrt-prod
73×add-cube-cbrt
59×unpow-prod-down cube-prod
47×associate-*l*
22×distribute-lft-out-- difference-of-squares
11×add-exp-log
10×add-cbrt-cube
7×pow1 div-inv unswap-sqr
5×associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×cube-div cube-mult pow-unpow unpow3 associate-*r* associate-/r*
2×cbrt-undiv cbrt-div div-exp pow-exp associate-/l/ rem-cube-cbrt
1×pow-to-exp flip3-- pow-pow frac-2neg pow1/3 div-sub pow-prod-down associate-*l/ prod-exp clear-num *-commutative flip-- rem-cbrt-cube cbrt-unprod
Counts
4 → 227
Calls
4 calls:
48.0ms
(* (cbrt (pow (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 3)) 6.0)
9.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
8.0ms
(cbrt (pow (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 3))
8.0ms
(pow (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 3)

series390.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (cbrt (pow (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 3)) 6.0)
77.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))
93.0ms
(cbrt (pow (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 3))
111.0ms
(pow (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) 3)

simplify107.0ms

Algorithm
egg-herbie
Counts
239 → 239
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
06342404
127652269
250012250

prune497.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes18.0ms

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
0157
1157

end0.0ms

sample1.1s

Algorithm
intervals
Results
508.0ms8000×body80valid
408.0ms8186×body80nan