Details

Time bar (total: 21.2s)

sample126.0ms

Algorithm
intervals
Results
32.0ms289×body80nan
31.0ms256×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 4 (331.0ms)

IterNodesCost
02833
15033
210832
338732
4160431
done500131

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize51.0ms

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)

rewrite80.0ms

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:
19.0ms
(/ (/ 2.0 t) 3.0)
34.0ms
(* z (sqrt (+ t a)))
0.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
22.0ms
(/ (* z (sqrt (+ t a))) t)

series446.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (/ 2.0 t) 3.0)
71.0ms
(* z (sqrt (+ t a)))
257.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
88.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.2s

Counts
146 → 146
Iterations

Useful iterations: done (1.2s)

IterNodesCost
03191876
17401756
219931622
done50001602

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
1.8b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.1b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
58×times-frac
47×*-un-lft-identity
46×associate-*r*
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
25×add-exp-log
18×add-cbrt-cube
10×unswap-sqr
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 125
Calls
4 calls:
1.0ms
(cbrt t)
3.0ms
(cbrt t)
121.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
1.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

series976.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt t)
243.0ms
(cbrt t)
137.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
328.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

simplify1.9s

Counts
137 → 137
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02452460
16682293
224411806
done50011678

prune852.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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))))

rewrite50.0ms

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:
0.0ms
(fma 0.8333333333333334 c (* a (- c b)))
8.0ms
(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
31.0ms
(* a (- c b))
5.0ms
(pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b))))

series373.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(fma 0.8333333333333334 c (* a (- c b)))
207.0ms
(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
38.0ms
(* a (- c b))
69.0ms
(pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b))))

simplify3.1s

Counts
120 → 120
Iterations

Useful iterations: done (3.1s)

IterNodesCost
02112014
13871797
29031592
332321550
done50011494

prune440.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

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))))

rewrite57.0ms

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))
33.0ms
(* a (- c b))
5.0ms
(pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b))))
9.0ms
(log (exp (/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))))

series513.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
55.0ms
(* a (- c b))
81.0ms
(pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b))))
177.0ms
(log (exp (/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))))

simplify2.4s

Counts
137 → 137
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02462488
14182216
29091981
330121939
done50001883

prune641.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes262.0ms

Accuracy

0% (1.5b remaining)

Error of 1.6b against oracle of 0.1b and baseline of 1.6b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02938
13238
done3238

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.0s8179×body80nan
1.6s8000×body80valid