Details

Time bar (total: 10.5s)

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
5.0ms256×pre80true

simplify1.1s

Counts
1 → 1
Iterations
IterNodes
done2037
82037
71178
6421
5190
493
348
230
114
04

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (* x x) x (* x x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
0.0ms
(fma (* x x) x (* x x))

series104.0ms

Counts
1 → 3
Calls
1 calls:
104.0ms
(fma (* x x) x (* x x))

simplify1.2s

Counts
14 → 14
Iterations
IterNodes
done2026
52026
41279
3275
285
131
019

prune102.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* x x) x (* x x))
0.0b
(* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (fma (* x x) x (* x x)))
0.1b
(* (fma (* x x) x (* x x)) (fma (* x x) x (* x x)))
23.0b
(cbrt (* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (fma (* x x) x (* x x))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1
12×add-sqr-sqrt
11×add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt
7×pow-plus pow-prod-up
6×associate-*r*
5×fma-udef
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×pow2 swap-sqr pow-sqr
2×distribute-rgt-in distribute-lft-in pow3 *-commutative unswap-sqr
1×cbrt-prod pow1/3 rem-cbrt-cube
Counts
4 → 87
Calls
4 calls:
0.0ms
(fma (* x x) x (* x x))
21.0ms
(* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (fma (* x x) x (* x x)))
9.0ms
(* (fma (* x x) x (* x x)) (fma (* x x) x (* x x)))
17.0ms
(cbrt (* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (fma (* x x) x (* x x))))

series302.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(fma (* x x) x (* x x))
47.0ms
(* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (fma (* x x) x (* x x)))
41.0ms
(* (fma (* x x) x (* x x)) (fma (* x x) x (* x x)))
117.0ms
(cbrt (* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (fma (* x x) x (* x x))))

simplify965.0ms

Counts
99 → 99
Iterations
IterNodes
done2000
32000
2695
1232
098

prune768.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) x)
0.1b
(* (fma (* x x) x (* x x)) (fma (* x x) x (* x x)))
0.1b
(* (fma (* x x) x (* x x)) (fma (* x x) x (* x x)))
23.0b
(cbrt (+ (* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (* (* x x) x)) (* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (* x x))))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1
19×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
13×add-cbrt-cube add-exp-log
9×associate-*r*
8×pow-plus pow-prod-up
7×associate-*l*
6×swap-sqr
5×pow-prod-down prod-exp cbrt-unprod
4×cbrt-prod pow2 expm1-log1p-u pow-sqr fma-udef insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative unswap-sqr
2×distribute-rgt-in cbrt-div distribute-lft-in
1×flip3-+ pow1/3 pow3 flip-+ distribute-lft-out
Counts
4 → 108
Calls
4 calls:
20.0ms
(* (* x x) x)
6.0ms
(* (fma (* x x) x (* x x)) (fma (* x x) x (* x x)))
6.0ms
(* (fma (* x x) x (* x x)) (fma (* x x) x (* x x)))
75.0ms
(cbrt (+ (* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (* (* x x) x)) (* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (* x x))))

series1.0s

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* x x) x)
47.0ms
(* (fma (* x x) x (* x x)) (fma (* x x) x (* x x)))
38.0ms
(* (fma (* x x) x (* x x)) (fma (* x x) x (* x x)))
874.0ms
(cbrt (+ (* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (* (* x x) x)) (* (* (fma (* x x) x (* x x)) (fma (* x x) x (* x x))) (* x x))))

simplify1.2s

Counts
120 → 120
Iterations
IterNodes
done2001
32001
21268
1347
0129

prune1.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.2b
(pow (/ 1 x) -3)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
13×unpow-prod-down
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
6×add-exp-log
4×pow-exp
3×pow1 pow-unpow pow-pow
2×div-exp
1×expm1-log1p-u pow-to-exp rec-exp add-cbrt-cube 1-exp insert-posit16 log1p-expm1-u div-inv pow-flip inv-pow add-log-exp sqr-pow
Counts
1 → 35
Calls
1 calls:
5.0ms
(pow (/ 1 x) -3)

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(pow (/ 1 x) -3)

simplify731.0ms

Counts
38 → 38
Iterations
IterNodes
done2026
42026
31357
2582
1232
085

prune321.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample1.2s

Algorithm
intervals
Results
671.0ms8000×pre80true
383.0ms8000×body80valid