Details

Time bar (total: 19.9s)

sample71.0ms

Algorithm
intervals
Results
46.0ms262×body80valid

simplify75.0ms

Counts
1 → 1
Iterations
IterNodes
done53
553
451
345
235
126
015

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.6b

localize20.0ms

Local error

Found 3 expressions with local error:

2.0b
(fma (/ y t) b (+ a 1.0))
3.9b
(fma (/ y t) z x)
10.6b
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log
3×expm1-log1p-u pow1 associate-/r* insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 52
Calls
3 calls:
0.0ms
(fma (/ y t) b (+ a 1.0))
0.0ms
(fma (/ y t) z x)
5.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

series781.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(fma (/ y t) b (+ a 1.0))
66.0ms
(fma (/ y t) z x)
663.0ms
(/ (fma (/ y t) z x) (fma (/ y t) b (+ a 1.0)))

simplify2.7s

Counts
61 → 61
Iterations
IterNodes
done5000
44450
31013
2321
1130
080

prune494.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 10.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (fma (/ y t) b (+ a 1.0)))
2.0b
(fma (/ y t) b (+ a 1.0))
3.9b
(fma (/ y t) z x)
10.4b
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×times-frac add-cube-cbrt
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp prod-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod fma-udef div-inv
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 95
Calls
4 calls:
9.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
0.0ms
(fma (/ y t) b (+ a 1.0))
1.0ms
(fma (/ y t) z x)
28.0ms
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

series972.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(/ 1 (fma (/ y t) b (+ a 1.0)))
61.0ms
(fma (/ y t) b (+ a 1.0))
78.0ms
(fma (/ y t) z x)
665.0ms
(* (fma (/ y t) z x) (/ 1 (fma (/ y t) b (+ a 1.0))))

simplify2.2s

Counts
107 → 107
Iterations
IterNodes
done5003
32028
2622
1235
0118

prune680.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 10.3b

localize38.0ms

Local error

Found 4 expressions with local error:

9.2b
(cbrt (fma (/ y t) b (+ a 1.0)))
9.2b
(cbrt (fma (/ y t) b (+ a 1.0)))
9.2b
(cbrt (fma (/ y t) b (+ a 1.0)))
10.6b
(/ (fma (/ y t) z x) (* (* (cbrt (fma (/ y t) b (+ a 1.0))) (cbrt (fma (/ y t) b (+ a 1.0)))) (cbrt (fma (/ y t) b (+ a 1.0)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-cube-cbrt
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv times-frac pow1/3 div-exp prod-exp cbrt-unprod associate-/l*
1×clear-num associate-/r* frac-2neg div-inv
Counts
4 → 68
Calls
4 calls:
1.0ms
(cbrt (fma (/ y t) b (+ a 1.0)))
1.0ms
(cbrt (fma (/ y t) b (+ a 1.0)))
1.0ms
(cbrt (fma (/ y t) b (+ a 1.0)))
41.0ms
(/ (fma (/ y t) z x) (* (* (cbrt (fma (/ y t) b (+ a 1.0))) (cbrt (fma (/ y t) b (+ a 1.0)))) (cbrt (fma (/ y t) b (+ a 1.0)))))

series1.6s

Counts
4 → 12
Calls
4 calls:
349.0ms
(cbrt (fma (/ y t) b (+ a 1.0)))
254.0ms
(cbrt (fma (/ y t) b (+ a 1.0)))
285.0ms
(cbrt (fma (/ y t) b (+ a 1.0)))
696.0ms
(/ (fma (/ y t) z x) (* (* (cbrt (fma (/ y t) b (+ a 1.0))) (cbrt (fma (/ y t) b (+ a 1.0)))) (cbrt (fma (/ y t) b (+ a 1.0)))))

simplify1.9s

Counts
80 → 80
Iterations
IterNodes
done5007
32375
2629
1223
0106

prune605.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 10.3b

localize42.0ms

Local error

Found 4 expressions with local error:

5.7b
(/ (* (cbrt (fma (/ y t) z x)) (cbrt (fma (/ y t) z x))) (/ (fma (/ y t) b (+ a 1.0)) (cbrt (fma (/ y t) z x))))
7.2b
(cbrt (fma (/ y t) z x))
7.2b
(cbrt (fma (/ y t) z x))
7.2b
(cbrt (fma (/ y t) z x))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
33×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×cbrt-prod
22×associate-/r*
16×add-exp-log
10×add-cbrt-cube
6×cbrt-undiv div-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 div-inv
2×prod-exp cbrt-unprod
1×clear-num frac-2neg associate-/r/ associate-/l*
Counts
4 → 109
Calls
4 calls:
22.0ms
(/ (* (cbrt (fma (/ y t) z x)) (cbrt (fma (/ y t) z x))) (/ (fma (/ y t) b (+ a 1.0)) (cbrt (fma (/ y t) z x))))
1.0ms
(cbrt (fma (/ y t) z x))
1.0ms
(cbrt (fma (/ y t) z x))
1.0ms
(cbrt (fma (/ y t) z x))

series1.2s

Counts
4 → 12
Calls
4 calls:
591.0ms
(/ (* (cbrt (fma (/ y t) z x)) (cbrt (fma (/ y t) z x))) (/ (fma (/ y t) b (+ a 1.0)) (cbrt (fma (/ y t) z x))))
188.0ms
(cbrt (fma (/ y t) z x))
202.0ms
(cbrt (fma (/ y t) z x))
213.0ms
(cbrt (fma (/ y t) z x))

simplify1.9s

Counts
121 → 121
Iterations
IterNodes
done5001
21481
1476
0182

prune902.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 10.3b

regimes1.3s

Accuracy

25.3% (1.6b remaining)

Error of 13.5b against oracle of 11.9b and baseline of 14.0b

bsearch216.0ms

Steps
ItersRangePoint
8
1.5835174812360383e-195
4.1954327035667585e-193
2.227585327806652e-193
9
-2.8525714876023343e-182
-1.334533363510332e-189
-1.6665856283572759e-183

simplify4.0ms

Iterations
IterNodes
done33
133
025

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.7s8264×body80valid