Details

Time bar (total: 11.9s)

sample36.0ms

Algorithm
intervals
Results
17.0ms505×body80valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01115
12415
24414
35814
46014
done6014

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
21.7b
(/ (* z z) (* t t))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
1×frac-2neg times-frac clear-num associate-/r* fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
0.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
5.0ms
(/ (* z z) (* t t))

series130.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
30.0ms
(/ (* z z) (* t t))

simplify423.0ms

Counts
39 → 39
Iterations

Useful iterations: done (421.0ms)

IterNodesCost
066517
1172509
2713379
done5000374

prune117.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (* (fabs (/ z t)) (fabs (/ z t))))
0.4b
(* (fabs (/ z t)) (fabs (/ z t)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×add-exp-log add-cbrt-cube
3×swap-sqr associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod fma-udef unswap-sqr
Counts
2 → 37
Calls
2 calls:
0.0ms
(fma (/ x y) (/ x y) (* (fabs (/ z t)) (fabs (/ z t))))
3.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

series43.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(fma (/ x y) (/ x y) (* (fabs (/ z t)) (fabs (/ z t))))
9.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

simplify1.4s

Counts
43 → 43
Iterations

Useful iterations: 3 (182.0ms)

IterNodesCost
053600
194464
2317383
31399367
done5001367

prune134.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (* (sqrt (fabs (/ z t))) (pow (sqrt (fabs (/ z t))) 3)))
0.5b
(pow (sqrt (fabs (/ z t))) 3)
10.3b
(sqrt (fabs (/ z t)))
10.3b
(sqrt (fabs (/ z t)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
8×pow1
6×unpow-prod-down cube-prod
5×add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-pow sqrt-pow1 pow1/2
2×rem-sqrt-square
1×cube-mult pow-to-exp unpow3 pow-exp sqrt-pow2 fma-udef rem-cube-cbrt sqr-pow
Counts
4 → 74
Calls
4 calls:
0.0ms
(fma (/ x y) (/ x y) (* (sqrt (fabs (/ z t))) (pow (sqrt (fabs (/ z t))) 3)))
2.0ms
(pow (sqrt (fabs (/ z t))) 3)
1.0ms
(sqrt (fabs (/ z t)))
1.0ms
(sqrt (fabs (/ z t)))

series78.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(fma (/ x y) (/ x y) (* (sqrt (fabs (/ z t))) (pow (sqrt (fabs (/ z t))) 3)))
23.0ms
(pow (sqrt (fabs (/ z t))) 3)
12.0ms
(sqrt (fabs (/ z t)))
9.0ms
(sqrt (fabs (/ z t)))

simplify5.1s

Counts
86 → 86
Iterations

Useful iterations: done (5.1s)

IterNodesCost
076964
1165826
2598687
34365667
done5000664

prune260.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (fabs (/ z t))) (pow (fabs (/ z t)) 3/2))
0.2b
(fma (/ x y) (/ x y) (* (sqrt (fabs (/ z t))) (pow (fabs (/ z t)) 3/2)))
0.3b
(pow (fabs (/ z t)) 3/2)
10.3b
(sqrt (fabs (/ z t)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log
9×sqrt-prod
8×unpow-prod-down
7×pow1 associate-*r*
6×associate-*l* add-cbrt-cube unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×pow-unpow prod-exp
2×pow-to-exp sqrt-pow1 pow1/2 pow-exp pow-prod-up
1×rem-sqrt-square pow-pow *-commutative cbrt-unprod fma-udef
Counts
4 → 79
Calls
4 calls:
8.0ms
(* (sqrt (fabs (/ z t))) (pow (fabs (/ z t)) 3/2))
0.0ms
(fma (/ x y) (/ x y) (* (sqrt (fabs (/ z t))) (pow (fabs (/ z t)) 3/2)))
1.0ms
(pow (fabs (/ z t)) 3/2)
1.0ms
(sqrt (fabs (/ z t)))

series103.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (sqrt (fabs (/ z t))) (pow (fabs (/ z t)) 3/2))
34.0ms
(fma (/ x y) (/ x y) (* (sqrt (fabs (/ z t))) (pow (fabs (/ z t)) 3/2)))
51.0ms
(pow (fabs (/ z t)) 3/2)
10.0ms
(sqrt (fabs (/ z t)))

simplify2.0s

Counts
91 → 91
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0971223
11841137
25791065
324961061
done5001905

prune268.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

regimes600.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01427
11627
done1627

end0.0ms

sample1000.0ms

Algorithm
intervals
Results
564.0ms15534×body80valid