Details

Time bar (total: 1.5s)

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
173

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.7b

localize4.0ms

Local error

Found 1 expressions with local error:

17.7b
(/ x (+ (* x x) 1.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log associate-/r* add-cbrt-cube associate-/l*
associate-/r/
pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
5.0ms
(/ x (+ (* x x) 1.0))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ x (+ (* x x) 1.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0171215
1589196
21979191
35002186

prune73.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (fma x x 1.0) x))
17.6b
(/ (fma x x 1.0) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
add-cbrt-cube
div-exp
div-inv associate-/l*
cbrt-undiv
pow1
expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
pow-flip associate-/r/ inv-pow
Counts
2 → 107
Calls
2 calls:
5.0ms
(/ 1 (/ (fma x x 1.0) x))
3.0ms
(/ (fma x x 1.0) x)

series150.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ 1 (/ (fma x x 1.0) x))
83.0ms
(/ (fma x x 1.0) x)

simplify41.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0360746
11496655
25002578

prune144.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ 1 (fma 1.0 (/ 1 x) x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log
associate-/r* add-cbrt-cube associate-/l*
pow1 div-exp
cbrt-undiv expm1-log1p-u rec-exp pow-flip frac-2neg 1-exp clear-num log1p-expm1-u div-inv inv-pow add-log-exp
Counts
1 → 33
Calls
1 calls:
3.0ms
(/ 1 (fma 1.0 (/ 1 x) x))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ 1 (fma 1.0 (/ 1 x) x))

simplify40.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0130213
1400189
21294175
35002173

prune48.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

1.8b
(/ x (fma (- 1.0) 1.0 (pow x 4)))
22.4b
(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
19×times-frac
13×associate-*l*
add-exp-log add-cbrt-cube
prod-diff
distribute-rgt-in distribute-lft-in
pow1 associate-*r*
associate-/r* associate-/l*
cbrt-undiv expm1-log1p-u frac-times sub-neg flip3-- associate-*r/ div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
frac-2neg pow-prod-down associate-*l/ clear-num *-commutative difference-of-squares
Counts
2 → 78
Calls
2 calls:
6.0ms
(/ x (fma (- 1.0) 1.0 (pow x 4)))
10.0ms
(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

series266.0ms

Counts
2 → 6
Calls
2 calls:
158.0ms
(/ x (fma (- 1.0) 1.0 (pow x 4)))
108.0ms
(* (/ x (fma (- 1.0) 1.0 (pow x 4))) (- (* x x) 1.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0446816
12125716
25001706

prune180.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample224.0ms

Algorithm
intervals
Results
136.0ms8000×body80valid