Details

Time bar (total: 28.8s)

sample113.0ms

Algorithm
intervals
Results
50.0ms256×body80valid
27.0ms270×body80nan

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 4 (346.0ms)

IterNodesCost
02833
15033
210832
338732
4160431
done500131

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ (/ 2.0 t) 3.0)
1.9b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
5.2b
(/ (* 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:
25.0ms
(* z (sqrt (+ t a)))
26.0ms
(/ (/ 2.0 t) 3.0)
0.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
24.0ms
(/ (* z (sqrt (+ t a))) t)

series494.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* z (sqrt (+ t a)))
18.0ms
(/ (/ 2.0 t) 3.0)
271.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
114.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.8s

Counts
146 → 146
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03191876
17401756
219821622
done50011602

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt (+ t a)) t)
0.3b
(/ (/ 2.0 t) 3.0)
1.8b
(* z (/ (sqrt (+ t a)) t))
1.9b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* z (/ (sqrt (+ t a)) t)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
91×*-un-lft-identity
85×add-sqr-sqrt
77×add-cube-cbrt
29×sqrt-prod
25×associate-*r*
20×associate-/l*
16×add-exp-log add-cbrt-cube
7×div-inv distribute-lft-out
6×pow1 associate-/r*
5×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* associate-/l/ unswap-sqr
2×frac-2neg sqrt-div prod-exp clear-num cbrt-unprod
1×flip3-+ associate-*r/ pow-prod-down *-commutative flip-+ fma-udef
Counts
4 → 176
Calls
4 calls:
22.0ms
(/ (sqrt (+ t a)) t)
11.0ms
(/ (/ 2.0 t) 3.0)
55.0ms
(* z (/ (sqrt (+ t a)) t))
0.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* z (/ (sqrt (+ t a)) t)))

series554.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(/ (sqrt (+ t a)) t)
26.0ms
(/ (/ 2.0 t) 3.0)
141.0ms
(* z (/ (sqrt (+ t a)) t))
289.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* z (/ (sqrt (+ t a)) t)))

simplify2.2s

Counts
188 → 188
Iterations

Useful iterations: done (2.1s)

IterNodesCost
03462443
17842260
219782117
done50002097

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

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

rewrite76.0ms

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))
21.0ms
(pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b))))
43.0ms
(* a (- c b))

series432.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(fma 0.8333333333333334 c (* a (- c b)))
233.0ms
(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
85.0ms
(pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b))))
49.0ms
(* a (- c b))

simplify3.5s

Counts
120 → 120
Iterations

Useful iterations: done (3.5s)

IterNodesCost
02112014
13871797
29071592
332381550
done50001494

prune551.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma y (pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))) x)
0.0b
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
0.4b
(* 0.6666666666666666 (- (/ b t) (/ c t)))
1.7b
(- (/ b t) (/ c t))

rewrite546.0ms

Algorithm
rewrite-expression-head
Rules
1199×times-frac
953×add-sqr-sqrt
943×*-un-lft-identity
927×add-cube-cbrt
846×prod-diff
342×distribute-rgt-in distribute-lft-in associate--l+
135×div-inv
14×fma-neg
12×associate-*r*
8×distribute-lft-out-- add-log-exp difference-of-squares
6×pow1 add-exp-log sub-neg add-cbrt-cube
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×flip3-- associate-*l* flip--
2×distribute-rgt-out-- diff-log frac-sub sub-div
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 950
Calls
4 calls:
0.0ms
(fma y (pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))) x)
157.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
180.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
33.0ms
(- (/ b t) (/ c t))

series419.0ms

Counts
4 → 12
Calls
4 calls:
257.0ms
(fma y (pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))) x)
64.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
51.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
47.0ms
(- (/ b t) (/ c t))

simplify3.5s

Counts
962 → 962
Iterations

Useful iterations: done (3.4s)

IterNodesCost
080634962
1138530766
2291522352
done500017159

prune4.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes323.0ms

Accuracy

0% (2.0b remaining)

Error of 2.1b against oracle of 0.1b and baseline of 2.1b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02631
12931
done2931

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.3s8168×body80nan
1.8s8000×body80valid