Details

Time bar (total: 11.7s)

sample54.0ms

Algorithm
intervals
Results
29.0ms509×body80valid

simplify31.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01115
12415
24414
35814
46014
done6014

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.5b

localize20.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
20.8b
(/ (* z z) (* t t))

rewrite18.0ms

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)))
17.0ms
(/ (* z z) (* t t))

series169.0ms

Counts
2 → 6
Calls
2 calls:
140.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
28.0ms
(/ (* z z) (* t t))

simplify1.1s

Counts
39 → 39
Iterations

Useful iterations: done (1.1s)

IterNodesCost
066517
1193509
21662387
done5002379

prune155.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

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)))

rewrite16.0ms

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:
1.0ms
(fma (/ x y) (/ x y) (* (fabs (/ z t)) (fabs (/ z t))))
14.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(fma (/ x y) (/ x y) (* (fabs (/ z t)) (fabs (/ z t))))
16.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

simplify1.2s

Counts
43 → 43
Iterations

Useful iterations: done (1.2s)

IterNodesCost
053600
1124467
2952386
done5001377

prune192.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (fabs (/ z t))) (pow (sqrt (fabs (/ z t))) 3))
0.5b
(pow (sqrt (fabs (/ z t))) 3)
8.1b
(sqrt (fabs (/ z t)))
8.1b
(sqrt (fabs (/ z t)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
31×sqrt-prod
18×add-cube-cbrt *-un-lft-identity associate-*r*
16×unpow-prod-down cube-prod
12×unswap-sqr
10×add-exp-log
9×pow1
7×add-cbrt-cube
6×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×pow-unpow pow-pow sqrt-pow1 pow1/2 prod-exp
2×cube-mult pow-to-exp rem-sqrt-square unpow3 pow-exp
1×*-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 115
Calls
4 calls:
22.0ms
(* (sqrt (fabs (/ z t))) (pow (sqrt (fabs (/ z t))) 3))
4.0ms
(pow (sqrt (fabs (/ z t))) 3)
1.0ms
(sqrt (fabs (/ z t)))
7.0ms
(sqrt (fabs (/ z t)))

series93.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (sqrt (fabs (/ z t))) (pow (sqrt (fabs (/ z t))) 3))
40.0ms
(pow (sqrt (fabs (/ z t))) 3)
18.0ms
(sqrt (fabs (/ z t)))
18.0ms
(sqrt (fabs (/ z t)))

simplify2.9s

Counts
127 → 127
Iterations

Useful iterations: done (2.9s)

IterNodesCost
0861647
12401394
217591193
done50011015

prune454.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (* (sqrt (fabs (/ z t))) (pow (fabs (/ z t)) 3/2)))
0.2b
(* (sqrt (fabs (/ z t))) (pow (fabs (/ z t)) 3/2))
0.3b
(pow (fabs (/ z t)) 3/2)
8.1b
(sqrt (fabs (/ z t)))

rewrite37.0ms

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:
1.0ms
(fma (/ x y) (/ x y) (* (sqrt (fabs (/ z t))) (pow (fabs (/ z t)) 3/2)))
29.0ms
(* (sqrt (fabs (/ z t))) (pow (fabs (/ z t)) 3/2))
2.0ms
(pow (fabs (/ z t)) 3/2)
1.0ms
(sqrt (fabs (/ z t)))

series167.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(fma (/ x y) (/ x y) (* (sqrt (fabs (/ z t))) (pow (fabs (/ z t)) 3/2)))
16.0ms
(* (sqrt (fabs (/ z t))) (pow (fabs (/ z t)) 3/2))
84.0ms
(pow (fabs (/ z t)) 3/2)
16.0ms
(sqrt (fabs (/ z t)))

simplify995.0ms

Counts
91 → 91
Iterations

Useful iterations: done (991.0ms)

IterNodesCost
0971223
12061146
29441073
done50001064

prune299.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

regimes909.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01428
11528
done1528

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.8s15432×body80valid