Details

Time bar (total: 23.2s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
057
176
done76

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize4.0ms

Local error

Found 1 expressions with local error:

14.8b
(/ x (fma x x 1.0))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
2.0ms
(/ x (fma x x 1.0))

series69.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ x (fma x x 1.0))

simplify844.0ms

Counts
32 → 32
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
068377
1138362
2432332
31395332
done5000332

prune71.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ x (sqrt (fma x x 1.0))) (sqrt (fma x x 1.0)))
0.0b
(/ x (sqrt (fma x x 1.0)))
14.7b
(sqrt (fma x x 1.0))
14.7b
(sqrt (fma x x 1.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
160×add-sqr-sqrt
158×add-cube-cbrt *-un-lft-identity
150×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-exp-log add-cbrt-cube
9×div-inv
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×associate-/l/
Counts
4 → 248
Calls
4 calls:
11.0ms
(/ (/ x (sqrt (fma x x 1.0))) (sqrt (fma x x 1.0)))
3.0ms
(/ x (sqrt (fma x x 1.0)))
1.0ms
(sqrt (fma x x 1.0))
1.0ms
(sqrt (fma x x 1.0))

series299.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(/ (/ x (sqrt (fma x x 1.0))) (sqrt (fma x x 1.0)))
124.0ms
(/ x (sqrt (fma x x 1.0)))
55.0ms
(sqrt (fma x x 1.0))
53.0ms
(sqrt (fma x x 1.0))

simplify1.4s

Counts
260 → 260
Iterations

Useful iterations: 2 (233.0ms)

IterNodesCost
03045985
17035280
225934798
done50004798

prune410.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ 1 1) (/ (fma x x 1.0) x))
14.8b
(/ (fma x x 1.0) x)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
37×add-exp-log
30×div-exp div-inv
16×associate-/r* add-cbrt-cube associate-/l*
10×1-exp
9×cbrt-undiv
4×rec-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/r/ associate-/l/
Counts
2 → 256
Calls
2 calls:
14.0ms
(/ (/ 1 1) (/ (fma x x 1.0) x))
2.0ms
(/ (fma x x 1.0) x)

series154.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ (/ 1 1) (/ (fma x x 1.0) x))
86.0ms
(/ (fma x x 1.0) x)

simplify10.8s

Counts
262 → 262
Iterations

Useful iterations: done (10.8s)

IterNodesCost
04215739
112284357
231263644
done50003471

prune177.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
97×times-frac
78×*-un-lft-identity
50×add-sqr-sqrt add-cube-cbrt
14×add-exp-log distribute-lft-out
13×associate-/l*
11×div-exp
6×add-cbrt-cube div-inv
5×1-exp
4×associate-/r*
3×cbrt-undiv
2×rec-exp associate-/r/
1×pow1 expm1-log1p-u frac-2neg flip3-+ clear-num flip-+ log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 93
Calls
1 calls:
19.0ms
(/ (/ 1 1) (+ (/ 1.0 x) x))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(/ (/ 1 1) (+ (/ 1.0 x) x))

simplify8.5s

Counts
96 → 96
Iterations

Useful iterations: 2 (308.0ms)

IterNodesCost
01641697
14061232
210931042
322831042
done50001042

prune67.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes10.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
079
1107
done107

end0.0ms

sample226.0ms

Algorithm
intervals
Results
138.0ms8000×body80valid