Details

Time bar (total: 18.6s)

sample49.0ms

Algorithm
intervals
Results
24.0ms479×body80valid

simplify37.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize17.0ms

Local error

Found 2 expressions with local error:

20.2b
(/ (* z z) (* t t))
20.8b
(/ (* x x) (* y y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
2 → 42
Calls
2 calls:
20.0ms
(/ (* z z) (* t t))
21.0ms
(/ (* x x) (* y y))

series78.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (* z z) (* t t))
40.0ms
(/ (* x x) (* y y))

simplify3.3s

Counts
48 → 48
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
090538
1239522
2910356
33578326
done5000326

prune170.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.4b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (fabs (/ x y)) (fabs (/ x y)))
20.2b
(/ (* z z) (* t t))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×pow1
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×swap-sqr associate-*r* associate-*l*
2×add-log-exp
1×pow2 frac-2neg times-frac pow-plus pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
14.0ms
(/ (* z z) (* t t))

series45.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
36.0ms
(/ (* z z) (* t t))

simplify6.7s

Counts
52 → 52
Iterations

Useful iterations: done (6.7s)

IterNodesCost
076596
1176494
2592371
32120340
done5000324

prune211.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
6×add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
2×pow2 pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod add-log-exp unswap-sqr
Counts
2 → 50
Calls
2 calls:
13.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
12.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

series18.0ms

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

simplify1.8s

Counts
56 → 56
Iterations

Useful iterations: done (1.8s)

IterNodesCost
059654
1107466
2288386
3674354
41669338
done5001330

prune177.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2))
0.2b
(pow (fabs (/ x y)) 3/2)
0.3b
(* (fabs (/ z t)) (fabs (/ z t)))
12.0b
(sqrt (fabs (/ x y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×pow1
12×add-exp-log
10×associate-*r*
9×associate-*l* sqrt-prod
8×unpow-prod-down add-cbrt-cube
7×unswap-sqr
4×prod-exp add-log-exp sqr-pow
3×pow-unpow swap-sqr pow-prod-up
2×pow-to-exp sqrt-pow1 pow1/2 pow-exp *-commutative cbrt-unprod
1×pow2 rem-sqrt-square pow-pow pow-plus pow-prod-down pow-sqr
Counts
4 → 88
Calls
4 calls:
16.0ms
(* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2))
3.0ms
(pow (fabs (/ x y)) 3/2)
7.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
1.0ms
(sqrt (fabs (/ x y)))

series109.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (sqrt (fabs (/ x y))) (pow (fabs (/ x y)) 3/2))
76.0ms
(pow (fabs (/ x y)) 3/2)
9.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
15.0ms
(sqrt (fabs (/ x y)))

simplify2.3s

Counts
100 → 100
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01021209
11941029
2508961
31542854
done5000810

prune360.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes640.0ms

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
01625
11925
done1925

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.5s15585×body80valid