Details

Time bar (total: 15.8s)

sample33.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
27
17
05

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize14.0ms

Local error

Found 1 expressions with local error:

14.1b
(/ x (fma x x 1))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
8.0ms
(/ x (fma x x 1))

series88.0ms

Counts
1 → 3
Calls
1 calls:
88.0ms
(/ x (fma x x 1))

simplify2.5s

Counts
33 → 33
Iterations
IterNodes
54654
41479
3547
2262
1114
063

prune264.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (sqrt (fma x x 1)))
0.0b
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
14.0b
(sqrt (fma x x 1))
14.0b
(sqrt (fma x x 1))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
160×add-sqr-sqrt
158×*-un-lft-identity add-cube-cbrt
150×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-cbrt-cube add-exp-log
9×div-inv
6×pow1
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
1×associate-/l/
Counts
4 → 252
Calls
4 calls:
5.0ms
(/ x (sqrt (fma x x 1)))
17.0ms
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
2.0ms
(sqrt (fma x x 1))
3.0ms
(sqrt (fma x x 1))

series281.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ x (sqrt (fma x x 1)))
75.0ms
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
47.0ms
(sqrt (fma x x 1))
53.0ms
(sqrt (fma x x 1))

simplify2.7s

Counts
264 → 264
Iterations
IterNodes
34721
21430
1631
0289

prune2.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

14.1b
(/ x (fma x x 1))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
4.0ms
(/ x (fma x x 1))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(/ x (fma x x 1))

simplify2.3s

Counts
33 → 33
Iterations
IterNodes
54654
41479
3547
2262
1114
063

prune159.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* x x) x)
17.2b
(- (pow x 5) (* (* x x) x))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1
8×add-sqr-sqrt
7×*-un-lft-identity add-cbrt-cube fma-neg prod-diff add-exp-log add-cube-cbrt
6×unpow-prod-down pow-plus pow-prod-up
4×add-log-exp
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow2 expm1-log1p-u pow-sqr insert-posit16 log1p-expm1-u sqr-pow
1×sub-neg flip3-- diff-log associate-*l* pow3 *-commutative flip-- unswap-sqr
Counts
2 → 60
Calls
2 calls:
24.0ms
(* (* x x) x)
11.0ms
(- (pow x 5) (* (* x x) x))

series429.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* (* x x) x)
389.0ms
(- (pow x 5) (* (* x x) x))

simplify3.5s

Counts
66 → 66
Iterations
IterNodes
46109
31666
2557
1199
083

prune422.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes49.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.1b

bsearch95.0ms

Steps
ItersRangePoint
10
186.95626557948964
3373396396890550.5
8137.871959944802
6
-4073810451523.4326
-265991755648.13324
-957088378446.058

simplify5.0ms

Iterations
IterNodes
222
122
018

end0.0ms

sample609.0ms

Algorithm
intervals
Results
481.0ms8000×body80valid