Details

Time bar (total: 11.0s)

sample26.0ms

Algorithm
intervals
Results
11.0ms267×body80valid

simplify33.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
01517
12617
23817
35015
46015
56415
done6415

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.3b

localize12.0ms

Local error

Found 3 expressions with local error:

2.9b
(fma (/ y t) z x)
3.0b
(fma (/ y t) b a)
9.9b
(/ (fma (/ y t) z x) (+ 1.0 (fma (/ y t) b a)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
5×add-exp-log add-cbrt-cube
4×associate-/r* distribute-lft-out
3×pow1 expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/ fma-udef
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
3 → 55
Calls
3 calls:
0.0ms
(fma (/ y t) z x)
0.0ms
(fma (/ y t) b a)
6.0ms
(/ (fma (/ y t) z x) (+ 1.0 (fma (/ y t) b a)))

series553.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(fma (/ y t) z x)
43.0ms
(fma (/ y t) b a)
467.0ms
(/ (fma (/ y t) z x) (+ 1.0 (fma (/ y t) b a)))

simplify693.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0901058
11641023
2410951
31338951
done5001951

prune237.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (+ 1.0 (fma (/ y t) b a)))
2.9b
(fma (/ y t) z x)
3.0b
(fma (/ y t) b a)
9.9b
(* (fma (/ y t) z x) (/ 1 (+ 1.0 (fma (/ y t) b a))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
29×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
18×associate-*r*
17×add-exp-log
11×add-cbrt-cube
7×pow1 distribute-lft-out
4×expm1-log1p-u div-exp prod-exp associate-/r* associate-/r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ fma-udef div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 102
Calls
4 calls:
11.0ms
(/ 1 (+ 1.0 (fma (/ y t) b a)))
1.0ms
(fma (/ y t) z x)
1.0ms
(fma (/ y t) b a)
17.0ms
(* (fma (/ y t) z x) (/ 1 (+ 1.0 (fma (/ y t) b a))))

series681.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(/ 1 (+ 1.0 (fma (/ y t) b a)))
47.0ms
(fma (/ y t) z x)
43.0ms
(fma (/ y t) b a)
468.0ms
(* (fma (/ y t) z x) (/ 1 (+ 1.0 (fma (/ y t) b a))))

simplify1.6s

Counts
114 → 114
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
01291750
12731556
27161398
326291398
done50001398

prune331.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 9.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (/ (+ 1.0 (fma (/ y t) b a)) (fma (/ y t) z x)))
2.9b
(fma (/ y t) z x)
3.0b
(fma (/ y t) b a)
10.0b
(/ (+ 1.0 (fma (/ y t) b a)) (fma (/ y t) z x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
17×add-exp-log
16×distribute-lft-out
11×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
5×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num fma-udef associate-/l/
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
4 → 145
Calls
4 calls:
9.0ms
(/ 1 (/ (+ 1.0 (fma (/ y t) b a)) (fma (/ y t) z x)))
0.0ms
(fma (/ y t) z x)
0.0ms
(fma (/ y t) b a)
8.0ms
(/ (+ 1.0 (fma (/ y t) b a)) (fma (/ y t) z x))

series794.0ms

Counts
4 → 12
Calls
4 calls:
456.0ms
(/ 1 (/ (+ 1.0 (fma (/ y t) b a)) (fma (/ y t) z x)))
43.0ms
(fma (/ y t) z x)
49.0ms
(fma (/ y t) b a)
244.0ms
(/ (+ 1.0 (fma (/ y t) b a)) (fma (/ y t) z x))

simplify1.7s

Counts
157 → 157
Iterations

Useful iterations: 3 (697.0ms)

IterNodesCost
01863710
13933411
29283116
333403092
done50003092

prune391.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 9.6b

localize17.0ms

Local error

Found 4 expressions with local error:

5.9b
(* (/ 1 (* (cbrt (+ 1.0 (fma (/ y t) b a))) (cbrt (+ 1.0 (fma (/ y t) b a))))) (/ (fma (/ y t) z x) (cbrt (+ 1.0 (fma (/ y t) b a)))))
7.7b
(cbrt (+ 1.0 (fma (/ y t) b a)))
7.7b
(cbrt (+ 1.0 (fma (/ y t) b a)))
7.7b
(cbrt (+ 1.0 (fma (/ y t) b a)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
44×add-sqr-sqrt
38×*-un-lft-identity
36×times-frac
27×cbrt-prod associate-*r*
23×add-cube-cbrt
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1 distribute-lft-out
5×frac-times
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 133
Calls
4 calls:
85.0ms
(* (/ 1 (* (cbrt (+ 1.0 (fma (/ y t) b a))) (cbrt (+ 1.0 (fma (/ y t) b a))))) (/ (fma (/ y t) z x) (cbrt (+ 1.0 (fma (/ y t) b a)))))
2.0ms
(cbrt (+ 1.0 (fma (/ y t) b a)))
2.0ms
(cbrt (+ 1.0 (fma (/ y t) b a)))
3.0ms
(cbrt (+ 1.0 (fma (/ y t) b a)))

series1.2s

Counts
4 → 12
Calls
4 calls:
456.0ms
(* (/ 1 (* (cbrt (+ 1.0 (fma (/ y t) b a))) (cbrt (+ 1.0 (fma (/ y t) b a))))) (/ (fma (/ y t) z x) (cbrt (+ 1.0 (fma (/ y t) b a)))))
237.0ms
(cbrt (+ 1.0 (fma (/ y t) b a)))
241.0ms
(cbrt (+ 1.0 (fma (/ y t) b a)))
248.0ms
(cbrt (+ 1.0 (fma (/ y t) b a)))

simplify749.0ms

Counts
145 → 145
Iterations

Useful iterations: done (743.0ms)

IterNodesCost
02124915
16014561
219133619
done50013616

prune587.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 9.6b

regimes450.0ms

Accuracy

35.5% (1.8b remaining)

Error of 13.2b against oracle of 11.4b and baseline of 14.2b

bsearch106.0ms

Steps
ItersRangePoint
5
5.0448854830950916e-51
1.347742269766235e-50
8.299553669651151e-51
8
-4.0093082553046126e-178
-6.49107639244087e-182
-1.273066483958587e-178

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03360
14460
done4460

end0.0ms

sample657.0ms

Algorithm
intervals
Results
371.0ms8289×body80valid