Details

Time bar (total: 21.5s)

sample66.0ms

Algorithm
intervals
Results
44.0ms256×body80valid

simplify3.9s

Counts
1 → 1
Iterations
IterNodes
done2529
112529
102182
91689
81203
71037
6864
5633
4359
3162
270
138
018

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.4b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (+ z 6.012459259764103) z 3.350343815022304)
0.1b
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
3.1b
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
15.9b
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* fma-udef associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 63
Calls
4 calls:
0.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
0.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
9.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

series420.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
41.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
96.0ms
(/ y (fma (+ z 6.012459259764103) z 3.350343815022304))
243.0ms
(fma (/ y (fma (+ z 6.012459259764103) z 3.350343815022304)) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify2.1s

Counts
75 → 75
Iterations
IterNodes
done5003
32593
2743
1270
0137

prune584.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

15.3b
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
15.3b
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
15.3b
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
15.9b
(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
2.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
1.0ms
(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

series755.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
186.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
220.0ms
(cbrt (fma (+ z 6.012459259764103) z 3.350343815022304))
175.0ms
(fma (* (/ 1 (* (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)) (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (/ y (cbrt (fma (+ z 6.012459259764103) z 3.350343815022304)))) (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) x)

simplify2.4s

Counts
65 → 65
Iterations
IterNodes
done5001
31785
2528
1201
095

prune653.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ z 6.012459259764103) z)
0.1b
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
4.3b
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
19.7b
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-cbrt-cube add-exp-log
14×*-un-lft-identity
12×add-cube-cbrt
10×pow1 associate-*l*
9×associate-*r*
5×flip3-+ flip-+
4×expm1-log1p-u associate-*l/ prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* times-frac pow-prod-down *-commutative unswap-sqr
2×cbrt-undiv div-exp associate-/r/ associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in div-inv distribute-lft-out associate-/l*
Counts
4 → 100
Calls
4 calls:
21.0ms
(* (+ z 6.012459259764103) z)
43.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
65.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
35.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series464.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (+ z 6.012459259764103) z)
107.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
89.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
178.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify2.1s

Counts
112 → 112
Iterations
IterNodes
done5000
22174
1582
0204

prune705.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

8.3b
(* (/ y (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
14.7b
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
14.7b
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
14.8b
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
66×times-frac
47×*-un-lft-identity add-cube-cbrt
42×sqrt-prod
24×associate-*r* associate-*l*
18×add-cbrt-cube add-exp-log
10×sqrt-div
9×unswap-sqr
8×pow1
6×associate-/r* flip3-+ associate-/r/ flip-+
5×cbrt-undiv div-exp
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l/
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 162
Calls
4 calls:
137.0ms
(* (/ y (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
11.0ms
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
18.0ms
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
48.0ms
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

series553.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(* (/ y (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
90.0ms
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
71.0ms
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
171.0ms
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))

simplify2.7s

Counts
174 → 174
Iterations
IterNodes
done5001
22590
1768
0267

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes354.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.1b

bsearch158.0ms

Steps
ItersRangePoint
8
315.1021581913647
2484744.5477507794
2431685.1655870155
5
-670394737327.6124
-271299687514.82303
-273974326636.0899

simplify12.0ms

Iterations
IterNodes
done40
140
028

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s8000×body80valid