Details

Time bar (total: 9.9s)

sample73.0ms

Algorithm
intervals
Results
36.0ms481×body80valid

simplify54.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01115
12415
24414
35814
46014
done6014

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
21.1b
(/ (* z z) (* t t))

rewrite27.0ms

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)))
25.0ms
(/ (* z z) (* t t))

series239.0ms

Counts
2 → 6
Calls
2 calls:
201.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
37.0ms
(/ (* z z) (* t t))

simplify1.1s

Counts
39 → 39
Iterations

Useful iterations: done (1.1s)

IterNodesCost
066517
1193509
21662387
done5002379

prune165.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (* (fabs (/ z t)) (fabs (/ z t))))
0.3b
(* (fabs (/ z t)) (fabs (/ z t)))

rewrite9.0ms

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))))
8.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

series62.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(fma (/ x y) (/ x y) (* (fabs (/ z t)) (fabs (/ z t))))
12.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

simplify1.4s

Counts
43 → 43
Iterations

Useful iterations: done (1.4s)

IterNodesCost
053600
1124467
2952386
done5001377

prune162.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize23.0ms

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)
10.1b
(sqrt (fabs (/ z t)))
10.1b
(sqrt (fabs (/ z t)))

rewrite17.0ms

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:
1.0ms
(fma (/ x y) (/ x y) (* (sqrt (fabs (/ z t))) (pow (sqrt (fabs (/ z t))) 3)))
7.0ms
(pow (sqrt (fabs (/ z t))) 3)
3.0ms
(sqrt (fabs (/ z t)))
3.0ms
(sqrt (fabs (/ z t)))

series130.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(fma (/ x y) (/ x y) (* (sqrt (fabs (/ z t))) (pow (sqrt (fabs (/ z t))) 3)))
44.0ms
(pow (sqrt (fabs (/ z t))) 3)
19.0ms
(sqrt (fabs (/ z t)))
18.0ms
(sqrt (fabs (/ z t)))

simplify1.4s

Counts
86 → 86
Iterations

Useful iterations: done (1.4s)

IterNodesCost
076964
1203843
2866706
done5000675

prune412.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (sqrt (fabs (/ z t))) 3/2)
10.1b
(sqrt (fabs (/ z t)))
10.1b
(sqrt (fabs (/ z t)))
10.1b
(sqrt (fabs (/ z t)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×sqrt-prod
10×add-cube-cbrt *-un-lft-identity
9×pow1
6×unpow-prod-down
5×add-exp-log
4×expm1-log1p-u sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
3×rem-sqrt-square pow-unpow pow-pow
1×pow-to-exp pow-exp sqrt-pow2 sqr-pow
Counts
4 → 70
Calls
4 calls:
5.0ms
(pow (sqrt (fabs (/ z t))) 3/2)
2.0ms
(sqrt (fabs (/ z t)))
2.0ms
(sqrt (fabs (/ z t)))
2.0ms
(sqrt (fabs (/ z t)))

series119.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(pow (sqrt (fabs (/ z t))) 3/2)
12.0ms
(sqrt (fabs (/ z t)))
11.0ms
(sqrt (fabs (/ z t)))
16.0ms
(sqrt (fabs (/ z t)))

simplify1.3s

Counts
82 → 82
Iterations

Useful iterations: done (1.3s)

IterNodesCost
053670
1129587
2362572
31166572
done5000558

prune444.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.1b

regimes445.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
done916

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.3s15531×body80valid