Details

Time bar (total: 10.5s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify30.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
01417
12817
24514
35914
46514
done6514

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
0.1b
(fma x (fma 0.04481 x 0.99229) 1.0)
15.8b
(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
54×*-un-lft-identity
52×add-cube-cbrt
46×times-frac
39×prod-diff
13×fma-neg
5×add-exp-log add-cbrt-cube div-inv add-log-exp
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
2×difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- fma-udef distribute-lft-out--
Counts
3 → 108
Calls
3 calls:
14.0ms
(- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
0.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
2.0ms
(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series151.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(- (/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
29.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
66.0ms
(/ (fma x 0.27061 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify1.7s

Counts
117 → 117
Iterations

Useful iterations: 3 (723.0ms)

IterNodesCost
01703010
13382592
28072330
325312035
done50002035

prune249.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (fma x 0.27061 2.30753) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) x)
0.1b
(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b
(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
15.7b
(* (fma x 0.27061 2.30753) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity
21×add-cube-cbrt
20×times-frac
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
6×add-log-exp
4×expm1-log1p-u div-exp prod-exp log1p-expm1-u
3×associate-*l* prod-diff associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×sub-neg flip3-- pow-flip frac-2neg fma-neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative flip-- fma-udef inv-pow
Counts
4 → 99
Calls
4 calls:
8.0ms
(- (* (fma x 0.27061 2.30753) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) x)
0.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
2.0ms
(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
8.0ms
(* (fma x 0.27061 2.30753) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

series193.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (* (fma x 0.27061 2.30753) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) x)
26.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
47.0ms
(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
62.0ms
(* (fma x 0.27061 2.30753) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify2.2s

Counts
111 → 111
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01821906
14011651
210161467
333851450
done50001450

prune241.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

15.7b
(* (fma x 0.27061 2.30753) (* (* (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))) (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))))
16.1b
(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
16.1b
(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
16.1b
(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×cbrt-div
13×pow1 add-exp-log
10×associate-*r/
9×add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×frac-times associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*l* div-inv
1×associate-*r* *-commutative
Counts
4 → 102
Calls
4 calls:
71.0ms
(* (fma x 0.27061 2.30753) (* (* (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))) (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))))
1.0ms
(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
2.0ms
(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
2.0ms
(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

series581.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (fma x 0.27061 2.30753) (* (* (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))) (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))) (cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))))
181.0ms
(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
171.0ms
(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))
165.0ms
(cbrt (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify1.9s

Counts
114 → 114
Iterations

Useful iterations: 3 (972.0ms)

IterNodesCost
01883149
14322955
212052245
345491986
done50001986

prune315.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))))
15.7b
(* (fma x 0.27061 2.30753) (/ 1 (* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))))
15.7b
(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
15.7b
(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
24×pow1
18×add-sqr-sqrt add-cbrt-cube
14×pow-flip
13×prod-exp
12×*-un-lft-identity
11×add-cube-cbrt
10×sqrt-pow1 pow1/2
8×times-frac div-exp
7×associate-*r*
6×sqrt-prod
5×pow-prod-up cbrt-unprod
4×cbrt-undiv expm1-log1p-u rec-exp 1-exp pow-prod-down log1p-expm1-u add-log-exp
3×associate-*l* pow-sqr associate-/l* unswap-sqr
2×rem-sqrt-square div-inv
1×pow2 frac-2neg pow-plus associate-*r/ clear-num associate-/r* un-div-inv *-commutative inv-pow
Counts
4 → 108
Calls
4 calls:
9.0ms
(/ 1 (* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))))
30.0ms
(* (fma x 0.27061 2.30753) (/ 1 (* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))))
1.0ms
(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms
(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

series288.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ 1 (* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))))
66.0ms
(* (fma x 0.27061 2.30753) (/ 1 (* (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))))
88.0ms
(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
90.0ms
(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify1.8s

Counts
120 → 120
Iterations

Useful iterations: 3 (885.0ms)

IterNodesCost
01862419
14421530
211621314
336721294
done50001294

prune281.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
11616
done1616

end0.0ms

sample335.0ms

Algorithm
intervals
Results
243.0ms8000×body80valid