Details

Time bar (total: 19.9s)

sample40.0ms

Algorithm
intervals
Results
16.0ms260×body80valid

simplify81.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (20.0ms)

IterNodesCost
01517
12617
23817
35115
46115
56515
done6515

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.9b

localize15.0ms

Local error

Found 3 expressions with local error:

3.6b
(fma (/ y t) z x)
3.7b
(fma (/ y t) b a)
11.6b
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

rewrite24.0ms

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)
21.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

series879.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(fma (/ y t) z x)
72.0ms
(fma (/ y t) b a)
730.0ms
(/ (fma (/ y t) z x) (+ (fma (/ y t) b a) 1.0))

simplify2.6s

Counts
64 → 64
Iterations

Useful iterations: 3 (625.0ms)

IterNodesCost
0901058
11691026
2597953
33647951
done5000951

prune397.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 11.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
3.6b
(fma (/ y t) z x)
3.7b
(fma (/ y t) b a)
11.6b
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

rewrite60.0ms

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:
25.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
0.0ms
(fma (/ y t) z x)
0.0ms
(fma (/ y t) b a)
22.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

series1.3s

Counts
4 → 12
Calls
4 calls:
746.0ms
(/ 1 (/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x)))
76.0ms
(fma (/ y t) z x)
62.0ms
(fma (/ y t) b a)
414.0ms
(/ (+ (fma (/ y t) b a) 1.0) (fma (/ y t) z x))

simplify2.3s

Counts
157 → 157
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01863710
14443419
225403236
done50013097

prune635.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 11.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (* (+ (fma (/ y t) b a) 1.0) (/ 1 (fma (/ y t) z x))))
3.6b
(fma (/ y t) z x)
3.7b
(fma (/ y t) b a)
11.5b
(* (+ (fma (/ y t) b a) 1.0) (/ 1 (fma (/ y t) z x)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
21×add-sqr-sqrt
18×div-exp add-cbrt-cube
17×*-un-lft-identity
16×prod-exp
14×add-cube-cbrt times-frac
13×associate-*r*
9×pow1 rec-exp 1-exp
6×associate-/r/
5×cbrt-undiv
4×expm1-log1p-u frac-times flip3-+ associate-*l* associate-*l/ cbrt-unprod flip-+ log1p-expm1-u add-log-exp
3×associate-/l* unswap-sqr
2×pow-flip associate-*r/ pow-prod-down un-div-inv fma-udef div-inv
1×frac-2neg clear-num associate-/r* *-commutative distribute-lft-out inv-pow
Counts
4 → 109
Calls
4 calls:
48.0ms
(/ 1 (* (+ (fma (/ y t) b a) 1.0) (/ 1 (fma (/ y t) z x))))
0.0ms
(fma (/ y t) z x)
0.0ms
(fma (/ y t) b a)
54.0ms
(* (+ (fma (/ y t) b a) 1.0) (/ 1 (fma (/ y t) z x)))

series1.3s

Counts
4 → 12
Calls
4 calls:
749.0ms
(/ 1 (* (+ (fma (/ y t) b a) 1.0) (/ 1 (fma (/ y t) z x))))
76.0ms
(fma (/ y t) z x)
78.0ms
(fma (/ y t) b a)
384.0ms
(* (+ (fma (/ y t) b a) 1.0) (/ 1 (fma (/ y t) z x)))

simplify2.1s

Counts
121 → 121
Iterations

Useful iterations: 2 (514.0ms)

IterNodesCost
01632251
14321984
228481717
done50001717

prune337.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 11.5b

localize28.0ms

Local error

Found 4 expressions with local error:

6.6b
(/ (/ 1 (* (cbrt (+ (fma (/ y t) b a) 1.0)) (cbrt (+ (fma (/ y t) b a) 1.0)))) (/ (cbrt (+ (fma (/ y t) b a) 1.0)) (fma (/ y t) z x)))
10.1b
(cbrt (+ (fma (/ y t) b a) 1.0))
10.1b
(cbrt (+ (fma (/ y t) b a) 1.0))
10.1b
(cbrt (+ (fma (/ y t) b a) 1.0))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
789×times-frac
385×*-un-lft-identity
318×cbrt-div
283×add-sqr-sqrt add-cube-cbrt
209×associate-/r/
204×cbrt-prod
159×flip3-+ flip-+
104×frac-times
52×associate-*r/ associate-*l/
51×distribute-lft-out
49×add-exp-log
43×div-inv
29×div-exp
25×associate-/r*
18×add-cbrt-cube
15×associate-/l*
13×cbrt-undiv
6×prod-exp
4×pow1 expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow1/3
2×cbrt-unprod
1×frac-2neg clear-num associate-/l/
Counts
4 → 497
Calls
4 calls:
71.0ms
(/ (/ 1 (* (cbrt (+ (fma (/ y t) b a) 1.0)) (cbrt (+ (fma (/ y t) b a) 1.0)))) (/ (cbrt (+ (fma (/ y t) b a) 1.0)) (fma (/ y t) z x)))
4.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))
4.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))
4.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))

series1.3s

Counts
4 → 12
Calls
4 calls:
566.0ms
(/ (/ 1 (* (cbrt (+ (fma (/ y t) b a) 1.0)) (cbrt (+ (fma (/ y t) b a) 1.0)))) (/ (cbrt (+ (fma (/ y t) b a) 1.0)) (fma (/ y t) z x)))
254.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))
279.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))
250.0ms
(cbrt (+ (fma (/ y t) b a) 1.0))

simplify1.8s

Counts
509 → 509
Iterations

Useful iterations: done (1.7s)

IterNodesCost
070435294
1250133897
done500032742

prune2.3s

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 11.5b

regimes520.0ms

Accuracy

26.7% (1.9b remaining)

Error of 13.3b against oracle of 11.4b and baseline of 14.0b

bsearch124.0ms

Steps
ItersRangePoint
8
1.5297812207554662e-150
1.7537207695681516e-147
1.5800846191563106e-147
7
-1.3203786792654107e-177
-5.848896601220141e-179
-2.5420784263224134e-178

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02655
13541
done3541

end0.0ms

sample1.5s

Algorithm
intervals
Results
829.0ms8280×body80valid