Details

Time bar (total: 7.5s)

sample25.0ms

Algorithm
intervals
Results
9.0ms345×body80valid
0.0ms4×body640valid
0.0ms1×body1280valid
0.0ms1×body320valid

simplify53.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
0316
1926
23096
38805
416305
518725
618865
718865
done18865

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b
(* x (+ (+ (+ (+ y z) z) y) t))
0.0b
(+ (+ y z) z)
0.0b
(+ (+ (+ y z) z) y)

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
23×distribute-lft-out
20×add-log-exp
10×add-sqr-sqrt fma-def sum-log
8×add-cube-cbrt
7×associate-*r*
6×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u associate-+l+ flip3-+ flip-+ log1p-expm1-u
3×+-commutative associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 89
Calls
4 calls:
417.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
1.1s
(* x (+ (+ (+ (+ y z) z) y) t))
30.0ms
(+ (+ y z) z)
132.0ms
(+ (+ (+ y z) z) y)

series170.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
50.0ms
(* x (+ (+ (+ (+ y z) z) y) t))
25.0ms
(+ (+ y z) z)
33.0ms
(+ (+ (+ y z) z) y)

simplify57.0ms

Counts
101 → 101
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0402503
11821449
25001430
done5001430

prune233.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))
0.0b
(+ (+ y z) z)
0.0b
(+ (+ (+ y z) z) y)

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
17×add-log-exp
13×distribute-lft-out
9×fma-def sum-log
5×add-sqr-sqrt add-cube-cbrt
3×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
2×+-commutative associate-+l+ flip3-+ flip-+
1×fma-udef
Counts
3 → 55
Calls
3 calls:
0.0ms
(fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))
30.0ms
(+ (+ y z) z)
131.0ms
(+ (+ (+ y z) z) y)

series119.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))
28.0ms
(+ (+ y z) z)
34.0ms
(+ (+ (+ y z) z) y)

simplify82.0ms

Counts
64 → 64
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0219266
1795225
23944215
35001211
done5001211

prune161.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))) (cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))))
0.6b
(cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))
0.6b
(cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))
0.6b
(cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
11.0ms
(* (cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))) (cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))))
1.0ms
(cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))
1.0ms
(cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))
1.0ms
(cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))

series1.4s

Counts
4 → 12
Calls
4 calls:
438.0ms
(* (cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))) (cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))))
306.0ms
(cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))
323.0ms
(cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))
299.0ms
(cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))

simplify132.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
03331516
110801400
248081217
350011214
done50011214

prune328.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))
0.6b
(cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))
0.6b
(cbrt (* (cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))) (cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))))
0.8b
(pow (cbrt (cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))) 4)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))
1.0ms
(cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))
5.0ms
(cbrt (* (cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))) (cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))))
9.0ms
(pow (cbrt (cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))) 4)

series1.6s

Counts
4 → 12
Calls
4 calls:
301.0ms
(cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))
295.0ms
(cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))
426.0ms
(cbrt (* (cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))) (cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))))
531.0ms
(pow (cbrt (cbrt (fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0)))) 4)

simplify47.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04851241
114731130
250011093
done50011093

prune350.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes115.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166
1166
done166

end0.0ms

sample698.0ms

Algorithm
intervals
Results
308.0ms10649×body80valid
11.0ms65×body1280valid
10.0ms97×body640valid
5.0ms70×body320valid
1.0ms25×body160valid