Details

Time bar (total: 1.7m)

sample43.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5000
42165
3512
2154
162
029

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.7b

localize74.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma (+ 43.3400022514 x) x 263.505074721) x 313.399215894)
0.1b
(fma x (fma x 4.16438922228 78.6994924154) 137.519416416)
3.5b
(/ (fma (fma (fma (+ 43.3400022514 x) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0))
22.9b
(/ (fma x (fma x (fma x (fma x 4.16438922228 78.6994924154) 137.519416416) y) z) (/ (fma (fma (fma (+ 43.3400022514 x) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
104×add-sqr-sqrt *-un-lft-identity
72×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×add-cbrt-cube add-exp-log associate-/r/
6×div-inv associate-/l*
5×flip3-- flip--
4×expm1-log1p-u pow1 cbrt-undiv div-exp log1p-expm1-u add-log-exp
2×clear-num frac-2neg fma-udef
Counts
4 → 163
Calls
4 calls:
0.0ms
(fma (fma (+ 43.3400022514 x) x 263.505074721) x 313.399215894)
0.0ms
(fma x (fma x 4.16438922228 78.6994924154) 137.519416416)
18.0ms
(/ (fma (fma (fma (+ 43.3400022514 x) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0))
29.0ms
(/ (fma x (fma x (fma x (fma x 4.16438922228 78.6994924154) 137.519416416) y) z) (/ (fma (fma (fma (+ 43.3400022514 x) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0)))

series647.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(fma (fma (+ 43.3400022514 x) x 263.505074721) x 313.399215894)
39.0ms
(fma x (fma x 4.16438922228 78.6994924154) 137.519416416)
115.0ms
(/ (fma (fma (fma (+ 43.3400022514 x) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0))
440.0ms
(/ (fma x (fma x (fma x (fma x 4.16438922228 78.6994924154) 137.519416416) y) z) (/ (fma (fma (fma (+ 43.3400022514 x) x 263.505074721) x 313.399215894) x 47.066876606) (- x 2.0)))

simplify1.5s

Counts
175 → 175
Iterations
IterNodes
done5000
23509
1701
0296

prune1.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma 4.16438922228 x 78.6994924154) x 137.519416416)
0.3b
(/ 1 (/ (/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- x 2.0)) (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z)))
3.5b
(/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- x 2.0))
23.2b
(/ (/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- x 2.0)) (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
440×add-sqr-sqrt *-un-lft-identity
336×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
32×add-exp-log
27×associate-/l*
23×div-inv
20×add-cbrt-cube
19×div-exp
17×flip3-- flip--
10×cbrt-undiv
5×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rec-exp clear-num frac-2neg 1-exp
1×fma-udef pow-flip inv-pow associate-/l/
Counts
4 → 451
Calls
4 calls:
0.0ms
(fma (fma 4.16438922228 x 78.6994924154) x 137.519416416)
38.0ms
(/ 1 (/ (/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- x 2.0)) (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z)))
10.0ms
(/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- x 2.0))
18.0ms
(/ (/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- x 2.0)) (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z))

series967.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma (fma 4.16438922228 x 78.6994924154) x 137.519416416)
470.0ms
(/ 1 (/ (/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- x 2.0)) (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z)))
121.0ms
(/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- x 2.0))
341.0ms
(/ (/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- x 2.0)) (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z))

simplify1.1s

Counts
463 → 463
Iterations
IterNodes
done5000
11737
0642

prune3.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- (pow x 3) (pow 2.0 3))) (/ (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z) (fma 2.0 (+ x 2.0) (* x x)))))
12.7b
(/ (/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- (pow x 3) (pow 2.0 3))) (/ (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z) (fma 2.0 (+ x 2.0) (* x x))))
20.2b
(/ (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z) (fma 2.0 (+ x 2.0) (* x x)))
22.1b
(/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- (pow x 3) (pow 2.0 3)))

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
17127×times-frac
10709×add-sqr-sqrt
7881×*-un-lft-identity
5861×add-cube-cbrt
3232×difference-of-squares
2424×unpow-prod-down cube-prod
1616×sqr-pow
1099×associate-/r*
1010×distribute-lft-out--
480×div-inv
202×difference-cubes
140×associate-/r/
90×associate-/l*
67×flip3-- flip--
64×add-exp-log
44×div-exp
38×add-cbrt-cube
23×cbrt-undiv
5×pow1 rec-exp 1-exp
4×expm1-log1p-u clear-num frac-2neg log1p-expm1-u add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
4 → 5587
Calls
4 calls:
391.0ms
(/ 1 (/ (/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- (pow x 3) (pow 2.0 3))) (/ (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z) (fma 2.0 (+ x 2.0) (* x x)))))
476.0ms
(/ (/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- (pow x 3) (pow 2.0 3))) (/ (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z) (fma 2.0 (+ x 2.0) (* x x))))
4.0ms
(/ (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z) (fma 2.0 (+ x 2.0) (* x x)))
49.0ms
(/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- (pow x 3) (pow 2.0 3)))

series1.3s

Counts
4 → 12
Calls
4 calls:
581.0ms
(/ 1 (/ (/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- (pow x 3) (pow 2.0 3))) (/ (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z) (fma 2.0 (+ x 2.0) (* x x)))))
341.0ms
(/ (/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- (pow x 3) (pow 2.0 3))) (/ (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z) (fma 2.0 (+ x 2.0) (* x x))))
266.0ms
(/ (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z) (fma 2.0 (+ x 2.0) (* x x)))
146.0ms
(/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- (pow x 3) (pow 2.0 3)))

simplify2.8s

Counts
5599 → 5599
Iterations
IterNodes
done5015
05015

prune57.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- (* x x) (* 2.0 2.0))) (/ (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z) (+ x 2.0))))
4.2b
(/ (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z) (+ x 2.0))
18.7b
(/ (/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- (* x x) (* 2.0 2.0))) (/ (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z) (+ x 2.0)))
19.5b
(/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- (* x x) (* 2.0 2.0)))

rewrite465.0ms

Algorithm
rewrite-expression-head
Rules
4815×times-frac
2366×*-un-lft-identity
1812×add-sqr-sqrt add-cube-cbrt
374×associate-/r/
355×associate-/r*
277×distribute-lft-out difference-of-squares
190×div-inv
92×flip3-+ flip3-- flip-+ flip--
64×add-exp-log
44×div-exp
38×add-cbrt-cube
27×associate-/l*
23×cbrt-undiv
5×pow1 rec-exp 1-exp
4×expm1-log1p-u clear-num frac-2neg log1p-expm1-u add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
4 → 1806
Calls
4 calls:
135.0ms
(/ 1 (/ (/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- (* x x) (* 2.0 2.0))) (/ (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z) (+ x 2.0))))
12.0ms
(/ (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z) (+ x 2.0))
57.0ms
(/ (/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- (* x x) (* 2.0 2.0))) (/ (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z) (+ x 2.0)))
10.0ms
(/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- (* x x) (* 2.0 2.0)))

series1.3s

Counts
4 → 12
Calls
4 calls:
533.0ms
(/ 1 (/ (/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- (* x x) (* 2.0 2.0))) (/ (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z) (+ x 2.0))))
222.0ms
(/ (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z) (+ x 2.0))
397.0ms
(/ (/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- (* x x) (* 2.0 2.0))) (/ (fma (fma x (fma (fma 4.16438922228 x 78.6994924154) x 137.519416416) y) x z) (+ x 2.0)))
138.0ms
(/ (fma x (fma x (fma (+ x 43.3400022514) x 263.505074721) 313.399215894) 47.066876606) (- (* x x) (* 2.0 2.0)))

simplify1.8s

Counts
1818 → 1818
Iterations
IterNodes
done5001
02319

prune18.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes571.0ms

Accuracy

97.9% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 25.2b

bsearch418.0ms

Steps
ItersRangePoint
9
1.951333632833995e+45
4.94862611632601e+50
2.1235665282408094e+49
10
-4.472020465331658e+63
-1.3194991668433843e+53
-3.32842458654264e+62

simplify3.0ms

Iterations
IterNodes
done38
138
034

end0.0ms

sample2.4s

Algorithm
intervals
Results
2.0s8004×body80valid