Details

Time bar (total: 16.2s)

sample32.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
done5000
103779
92852
82267
71902
61547
5966
4418
3167
272
138
018

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (+ z 6.012459259764103) z 3.350343815022304)
0.0b
(fma (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y x)
0.1b
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
15.8b
(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

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 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 → 59
Calls
4 calls:
0.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
0.0ms
(fma (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y x)
0.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
8.0ms
(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

series359.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(fma (+ z 6.012459259764103) z 3.350343815022304)
161.0ms
(fma (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304)) y x)
41.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
118.0ms
(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ z 6.012459259764103) z 3.350343815022304))

simplify1.3s

Counts
71 → 71
Iterations
IterNodes
done5001
32288
2605
1229
0118

prune534.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (+ 6.012459259764103 z) z 3.350343815022304)
0.0b
(fma (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304)) y x)
0.1b
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
15.8b
(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))

rewrite6.0ms

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 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 → 59
Calls
4 calls:
0.0ms
(fma (+ 6.012459259764103 z) z 3.350343815022304)
0.0ms
(fma (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304)) y x)
0.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
4.0ms
(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))

series319.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma (+ 6.012459259764103 z) z 3.350343815022304)
154.0ms
(fma (/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304)) y x)
31.0ms
(fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525)
99.0ms
(/ (fma (fma 0.0692910599291889 z 0.4917317610505968) z 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))

simplify1.2s

Counts
71 → 71
Iterations
IterNodes
done5001
32288
2605
1229
0118

prune561.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (exp (log (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304)))) y x)
0.1b
(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
0.5b
(exp (log (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))))
15.8b
(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
13×log-prod exp-sum
6×add-cbrt-cube add-exp-log
5×pow1
4×expm1-log1p-u exp-prod log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
2×fma-udef div-inv
1×cbrt-undiv log-div clear-num frac-2neg exp-diff div-exp log-pow rem-exp-log
Counts
4 → 77
Calls
4 calls:
0.0ms
(fma (exp (log (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304)))) y x)
0.0ms
(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
8.0ms
(exp (log (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))))
6.0ms
(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))

series376.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(fma (exp (log (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304)))) y x)
29.0ms
(fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525)
112.0ms
(exp (log (/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))))
107.0ms
(/ (fma z (fma z 0.0692910599291889 0.4917317610505968) 0.279195317918525) (fma (+ 6.012459259764103 z) z 3.350343815022304))

simplify1.2s

Counts
89 → 89
Iterations
IterNodes
done5000
33363
2817
1304
0169

prune667.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
0.1b
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.6b
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
19.8b
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity add-cbrt-cube add-exp-log
11×add-cube-cbrt
8×pow1
6×associate-*r* associate-*l* add-log-exp
5×flip3-+ flip-+
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×associate-/r* fma-def times-frac prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative unswap-sqr associate-/l/
1×distribute-rgt-in +-commutative clear-num sum-log frac-2neg distribute-lft-in div-inv distribute-lft-out associate-/l*
Counts
4 → 90
Calls
4 calls:
34.0ms
(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
21.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
40.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
32.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series637.0ms

Counts
4 → 12
Calls
4 calls:
282.0ms
(+ x (/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
92.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
86.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
177.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify1.2s

Counts
102 → 102
Iterations
IterNodes
done5001
22713
1585
0200

prune832.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes377.0ms

Accuracy

98.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 15.9b

bsearch188.0ms

Steps
ItersRangePoint
10
1.4175168406832512e-19
0.030359728269424062
0.029920003583066714
10
-3.014988135594576e+22
-33326255562.233612
-1.237026755802593e+20

simplify2.0ms

Iterations
IterNodes
done28
128
024

end0.0ms

sample1.2s

Algorithm
intervals
Results
803.0ms8000×body80valid