Details

Time bar (total: 25.0s)

sample174.0ms

Algorithm
intervals
Results
57.0ms289×body80nan
39.0ms256×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 4 (773.0ms)

IterNodesCost
02833
15033
210832
338732
4160431
done500131

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 2.0 t) 3.0)
0.2b
(* z (sqrt (+ t a)))
2.1b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
8.0b
(/ (* z (sqrt (+ t a))) t)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
55×add-sqr-sqrt
53×*-un-lft-identity
51×add-cube-cbrt
16×add-exp-log add-cbrt-cube
14×associate-/l*
7×associate-*r*
6×pow1 associate-/r* div-inv
5×cbrt-undiv div-exp sqrt-prod
4×expm1-log1p-u sqrt-div associate-*r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/l/
2×frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ unswap-sqr
1×pow-prod-down *-commutative fma-udef distribute-lft-out
Counts
4 → 134
Calls
4 calls:
12.0ms
(/ (/ 2.0 t) 3.0)
38.0ms
(* z (sqrt (+ t a)))
1.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
46.0ms
(/ (* z (sqrt (+ t a))) t)

series522.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (/ 2.0 t) 3.0)
93.0ms
(* z (sqrt (+ t a)))
278.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
119.0ms
(/ (* z (sqrt (+ t a))) t)

simplify2.0s

Counts
146 → 146
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03191876
17401756
219931622
done50001602

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 2.0 t) 3.0)
0.4b
(/ t (sqrt (+ t a)))
1.8b
(/ z (/ t (sqrt (+ t a))))
2.1b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ z (/ t (sqrt (+ t a)))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
261×times-frac
178×*-un-lft-identity
146×add-sqr-sqrt add-cube-cbrt
64×sqrt-prod
37×associate-/r*
19×associate-/l*
16×add-exp-log add-cbrt-cube distribute-lft-out
11×associate-/r/ div-inv
10×sqrt-div
7×cbrt-undiv div-exp
5×flip3-+ flip-+
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×fma-udef associate-/l/
Counts
4 → 257
Calls
4 calls:
19.0ms
(/ (/ 2.0 t) 3.0)
13.0ms
(/ t (sqrt (+ t a)))
33.0ms
(/ z (/ t (sqrt (+ t a))))
1.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ z (/ t (sqrt (+ t a)))))

series583.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (/ 2.0 t) 3.0)
96.0ms
(/ t (sqrt (+ t a)))
136.0ms
(/ z (/ t (sqrt (+ t a))))
319.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ z (/ t (sqrt (+ t a)))))

simplify2.2s

Counts
269 → 269
Iterations

Useful iterations: done (2.2s)

IterNodesCost
04694188
110333807
227883637
done50003626

prune2.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 0.8333333333333334 c (* a (- c b)))
0.0b
(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
0.0b
(* a (- c b))
0.0b
(pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
31×*-un-lft-identity
29×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×times-frac
8×add-exp-log add-cbrt-cube
7×pow1
5×associate-*r*
4×expm1-log1p-u pow-pow log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow exp-prod associate-*l* associate-/r* associate-/l*
2×sub-neg associate-*r/ fma-udef
1×cbrt-undiv unpow-prod-up pow-to-exp flip3-- frac-2neg div-exp pow-prod-down pow-exp prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr sqr-pow
Counts
4 → 108
Calls
4 calls:
1.0ms
(fma 0.8333333333333334 c (* a (- c b)))
10.0ms
(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
48.0ms
(* a (- c b))
9.0ms
(pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b))))

series431.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(fma 0.8333333333333334 c (* a (- c b)))
227.0ms
(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
47.0ms
(* a (- c b))
108.0ms
(pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b))))

simplify3.1s

Counts
120 → 120
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02112014
13871797
29031592
332321550
done50011494

prune553.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
0.0b
(* a (- c b))
0.0b
(pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b))))
0.7b
(log (exp (/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×*-un-lft-identity
37×add-cube-cbrt
18×times-frac prod-diff
16×exp-prod
14×log-pow
11×distribute-rgt-in distribute-lft-in
8×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×expm1-log1p-u pow-pow log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow log-prod associate-*l* associate-/r* associate-/l*
2×sub-neg associate-*r/ div-inv
1×cbrt-undiv unpow-prod-up pow-to-exp flip3-- frac-2neg div-exp rem-log-exp pow-prod-down pow-exp prod-exp clear-num *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- difference-of-squares unswap-sqr sqr-pow
Counts
4 → 125
Calls
4 calls:
5.0ms
(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
36.0ms
(* a (- c b))
8.0ms
(pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b))))
15.0ms
(log (exp (/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))))

series479.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
59.0ms
(* a (- c b))
71.0ms
(pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b))))
180.0ms
(log (exp (/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))))

simplify2.9s

Counts
137 → 137
Iterations

Useful iterations: done (2.9s)

IterNodesCost
02462488
14182216
29091981
330121939
done50001883

prune684.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes360.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 2.0b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02631
12831
done2831

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.4s8000×body80valid
1.6s8179×body80nan