Details

Time bar (total: 5.0s)

sample27.0ms

Algorithm
intervals
Results
8.0ms321×body80nan
7.0ms256×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

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
(/ (- 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)

rewrite36.0ms

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))
24.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
5.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

series158.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
75.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
43.0ms
(/ (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

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)
0.2b
(/ 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))

rewrite37.0ms

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:
5.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
8.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
8.0ms
(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
9.0ms
(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series241.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
50.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
56.0ms
(/ 1.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
93.0ms
(/ x (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify93.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
06682123
127992002
250012002

prune592.0ms

Pruning

4 alts after pruning (3 fresh and 1 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))) (/ 1 6.0))
0.1b
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

rewrite73.0ms

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))
32.0ms
(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
16.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series183.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
76.0ms
(/ (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))) (/ 1 6.0))
73.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify92.0ms

Algorithm
egg-herbie
Counts
365 → 365
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
016245786
150015326

prune664.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
770×times-frac
445×add-sqr-sqrt *-un-lft-identity
341×add-cube-cbrt
304×exp-prod
300×log-pow
52×distribute-lft-out-- difference-of-squares
42×div-inv
28×associate-/l*
19×pow1
16×associate-/r*
15×add-exp-log
11×add-cbrt-cube
7×div-exp
5×div-sub add-log-exp
4×cbrt-undiv expm1-log1p-u log1p-expm1-u
3×log-prod exp-diff
2×log-div frac-2neg clear-num associate-/l/
1×rec-exp flip3-- 1-exp rem-log-exp associate-/r/ flip-- rem-exp-log
Counts
4 → 459
Calls
4 calls:
18.0ms
(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
22.0ms
(log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
73.0ms
(/ (log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))) (/ 1 6.0))
16.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

series502.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))
67.0ms
(log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))))
282.0ms
(/ (log (exp (/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0))))) (/ 1 6.0))
64.0ms
(/ (- x 1.0) (fma (sqrt x) 4.0 (+ x 1.0)))

simplify106.0ms

Algorithm
egg-herbie
Counts
471 → 471
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
016227189
150026611

prune893.0ms

Pruning

4 alts after pruning (1 fresh and 3 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
01211
11211

end0.0ms

sample659.0ms

Algorithm
intervals
Results
229.0ms8000×body80valid
199.0ms8004×body80nan