Details

Time bar (total: 11.0s)

sample38.0ms

Algorithm
intervals
Results
17.0ms519×body80valid

simplify34.0ms

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: 20.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
21.5b
(/ (* z z) (* t t))

rewrite15.0ms

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)))
14.0ms
(/ (* z z) (* t t))

series133.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
32.0ms
(/ (* z z) (* t t))

simplify3.6s

Counts
39 → 39
Iterations

Useful iterations: done (3.6s)

IterNodesCost
066517
1153509
2520379
32009364
done5000354

prune108.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

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)))

series49.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(fma (/ x y) (/ x y) (* (fabs (/ z t)) (fabs (/ z t))))
10.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

simplify1.5s

Counts
43 → 43
Iterations

Useful iterations: done (1.5s)

IterNodesCost
053600
192464
2213383
3573367
41968359
done5000355

prune130.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow (fabs (/ z t)) 3/2) (sqrt (fabs (/ z t))))
0.2b
(fma (/ x y) (/ x y) (* (pow (fabs (/ z t)) 3/2) (sqrt (fabs (/ z t)))))
0.3b
(pow (fabs (/ z t)) 3/2)
11.3b
(sqrt (fabs (/ z t)))

rewrite22.0ms

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-*l*
6×associate-*r* 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:
15.0ms
(* (pow (fabs (/ z t)) 3/2) (sqrt (fabs (/ z t))))
0.0ms
(fma (/ x y) (/ x y) (* (pow (fabs (/ z t)) 3/2) (sqrt (fabs (/ z t)))))
3.0ms
(pow (fabs (/ z t)) 3/2)
2.0ms
(sqrt (fabs (/ z t)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (pow (fabs (/ z t)) 3/2) (sqrt (fabs (/ z t))))
34.0ms
(fma (/ x y) (/ x y) (* (pow (fabs (/ z t)) 3/2) (sqrt (fabs (/ z t)))))
46.0ms
(pow (fabs (/ z t)) 3/2)
10.0ms
(sqrt (fabs (/ z t)))

simplify1.5s

Counts
91 → 91
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0971223
11831126
24461060
31530900
done5000858

prune282.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (pow (fabs (/ z t)) 3/2)) (sqrt (pow (fabs (/ z t)) 3/2)))
11.3b
(sqrt (fabs (/ z t)))
14.0b
(sqrt (pow (fabs (/ z t)) 3/2))
14.0b
(sqrt (pow (fabs (/ z t)) 3/2))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
71×sqrt-prod
54×add-sqr-sqrt
28×unpow-prod-down
21×add-cube-cbrt *-un-lft-identity
16×unswap-sqr sqr-pow
12×pow1 swap-sqr
10×associate-*r* associate-*l*
9×sqrt-pow1 pow1/2
7×rem-sqrt-square
6×add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 130
Calls
4 calls:
25.0ms
(* (sqrt (pow (fabs (/ z t)) 3/2)) (sqrt (pow (fabs (/ z t)) 3/2)))
2.0ms
(sqrt (fabs (/ z t)))
7.0ms
(sqrt (pow (fabs (/ z t)) 3/2))
4.0ms
(sqrt (pow (fabs (/ z t)) 3/2))

series180.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (sqrt (pow (fabs (/ z t)) 3/2)) (sqrt (pow (fabs (/ z t)) 3/2)))
10.0ms
(sqrt (fabs (/ z t)))
67.0ms
(sqrt (pow (fabs (/ z t)) 3/2))
73.0ms
(sqrt (pow (fabs (/ z t)) 3/2))

simplify1.5s

Counts
142 → 142
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01062262
11631570
24021507
314681484
done50001467

prune434.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

regimes189.0ms

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
01428
11528
done1528

end0.0ms

sample1.1s

Algorithm
intervals
Results
522.0ms15467×body80valid