Details

Time bar (total: 12.7s)

sample37.0ms

Algorithm
intervals
Results
23.0ms622×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01217
12616
24915
38015
413715
529915
6118815
done500115

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
0.0b
(fma a a (* b b))
0.3b
(pow (fma a a (* b b)) 2.0)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log
3×expm1-log1p-u unpow-prod-down pow-unpow add-cbrt-cube log1p-expm1-u add-log-exp
2×fma-udef
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
3 → 39
Calls
3 calls:
0.0ms
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
0.0ms
(fma a a (* b b))
1.0ms
(pow (fma a a (* b b)) 2.0)

series213.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
35.0ms
(fma a a (* b b))
112.0ms
(pow (fma a a (* b b)) 2.0)

simplify1.3s

Counts
48 → 48
Iterations

Useful iterations: 3 (223.0ms)

IterNodesCost
079580
1150561
2512493
32118488
done5000488

prune168.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot b a)
0.0b
(hypot b a)
0.0b
(* (hypot b a) (hypot b a))
0.3b
(pow (* (hypot b a) (hypot b a)) 2.0)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1
11×add-sqr-sqrt
9×add-exp-log add-cube-cbrt *-un-lft-identity
8×hypot-udef
6×pow-pow add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow swap-sqr associate-*r* associate-*l*
2×pow2 pow-plus sqrt-unprod pow-prod-down pow-exp prod-exp pow-sqr pow-prod-up
1×pow-to-exp unpow-prod-down rem-square-sqrt *-commutative sqrt-pow2 cbrt-unprod unswap-sqr sqr-pow
Counts
4 → 73
Calls
4 calls:
0.0ms
(hypot b a)
0.0ms
(hypot b a)
3.0ms
(* (hypot b a) (hypot b a))
3.0ms
(pow (* (hypot b a) (hypot b a)) 2.0)

series313.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(hypot b a)
52.0ms
(hypot b a)
68.0ms
(* (hypot b a) (hypot b a))
140.0ms
(pow (* (hypot b a) (hypot b a)) 2.0)

simplify1.8s

Counts
85 → 85
Iterations

Useful iterations: 3 (341.0ms)

IterNodesCost
080688
1161603
2609540
32660500
done5001500

prune234.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (* 4.0 b) b (pow (hypot b a) (* 2.0 2)))
0.0b
(hypot b a)
0.0b
(pow (hypot b a) (* 2.0 2))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×expm1-log1p-u unpow-prod-down add-cbrt-cube log1p-expm1-u add-log-exp
2×hypot-udef
1×pow-to-exp pow-unpow pow-pow pow-exp sqrt-pow2 fma-udef sqr-pow
Counts
3 → 38
Calls
3 calls:
0.0ms
(fma (* 4.0 b) b (pow (hypot b a) (* 2.0 2)))
0.0ms
(hypot b a)
1.0ms
(pow (hypot b a) (* 2.0 2))

series253.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(fma (* 4.0 b) b (pow (hypot b a) (* 2.0 2)))
48.0ms
(hypot b a)
122.0ms
(pow (hypot b a) (* 2.0 2))

simplify957.0ms

Counts
47 → 47
Iterations

Useful iterations: 3 (192.0ms)

IterNodesCost
073481
1143458
2442405
31517404
done5000404

prune143.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* 4.0 b) b (pow (hypot b a) (* 2.0 2)))
0.0b
(pow (hypot b a) (* 2.0 2))
0.2b
(pow (fma (* 4.0 b) b (pow (hypot b a) (* 2.0 2))) 3)
30.7b
(cbrt (pow (fma (* 4.0 b) b (pow (hypot b a) (* 2.0 2))) 3))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
6×pow1 add-exp-log cube-prod
5×add-cbrt-cube
4×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
3×sqr-pow
2×cube-mult pow-to-exp pow-pow unpow3 pow-exp
1×hypot-udef pow1/3 sqrt-pow2 rem-cbrt-cube fma-udef rem-cube-cbrt
Counts
4 → 76
Calls
4 calls:
0.0ms
(fma (* 4.0 b) b (pow (hypot b a) (* 2.0 2)))
1.0ms
(pow (hypot b a) (* 2.0 2))
1.0ms
(pow (fma (* 4.0 b) b (pow (hypot b a) (* 2.0 2))) 3)
1.0ms
(cbrt (pow (fma (* 4.0 b) b (pow (hypot b a) (* 2.0 2))) 3))

series387.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(fma (* 4.0 b) b (pow (hypot b a) (* 2.0 2)))
121.0ms
(pow (hypot b a) (* 2.0 2))
103.0ms
(pow (fma (* 4.0 b) b (pow (hypot b a) (* 2.0 2))) 3)
82.0ms
(cbrt (pow (fma (* 4.0 b) b (pow (hypot b a) (* 2.0 2))) 3))

simplify4.1s

Counts
88 → 88
Iterations

Useful iterations: done (4.1s)

IterNodesCost
01221614
12601397
29151225
348131219
done50001215

prune242.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11414
done1414

end0.0ms

sample1.1s

Algorithm
intervals
Results
763.0ms20276×body80valid