Details

Time bar (total: 11.9s)

sample83.0ms

Algorithm
intervals
Results
40.0ms540×body80valid

simplify89.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
01115
12415
24414
35814
46014
done6014

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.3b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
23.8b
(/ (* z z) (* t t))

rewrite26.0ms

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)))
24.0ms
(/ (* z z) (* t t))

series239.0ms

Counts
2 → 6
Calls
2 calls:
174.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
65.0ms
(/ (* z z) (* t t))

simplify1.3s

Counts
39 → 39
Iterations

Useful iterations: done (1.3s)

IterNodesCost
066517
1193509
21662387
done5002379

prune239.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

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)))

rewrite13.0ms

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))))
10.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(fma (/ x y) (/ x y) (* (fabs (/ z t)) (fabs (/ z t))))
21.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

simplify1.5s

Counts
43 → 43
Iterations

Useful iterations: done (1.5s)

IterNodesCost
053600
1124467
2952386
done5001377

prune277.0ms

Pruning

9 alts after pruning (9 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)))

rewrite11.0ms

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))))
9.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(fma (/ x y) (/ x y) (* (fabs (/ z t)) (fabs (/ z t))))
12.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

simplify1.5s

Counts
43 → 43
Iterations

Useful iterations: done (1.5s)

IterNodesCost
053600
1124467
2952386
done5001377

prune308.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize39.0ms

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)
10.2b
(sqrt (fabs (/ z t)))
10.2b
(sqrt (fabs (/ z t)))

rewrite18.0ms

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)))
8.0ms
(pow (sqrt (fabs (/ z t))) 3)
3.0ms
(sqrt (fabs (/ z t)))
3.0ms
(sqrt (fabs (/ z t)))

series123.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(fma (/ x y) (/ x y) (* (sqrt (fabs (/ z t))) (pow (sqrt (fabs (/ z t))) 3)))
42.0ms
(pow (sqrt (fabs (/ z t))) 3)
10.0ms
(sqrt (fabs (/ z t)))
15.0ms
(sqrt (fabs (/ z t)))

simplify1.4s

Counts
86 → 86
Iterations

Useful iterations: done (1.4s)

IterNodesCost
076964
1203843
2866706
done5000675

prune447.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

regimes1.1s

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01219
11319
done1319

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.3s15437×body80valid