Details

Time bar (total: 25.8s)

sample127.0ms

Algorithm
intervals
Results
45.0ms256×body80valid
29.0ms280×body80nan

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 4 (324.0ms)

IterNodesCost
02833
15033
210832
338732
4160431
done500131

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 2.0 t) 3.0)
0.3b
(* z (sqrt (+ t a)))
1.9b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
5.9b
(/ (* z (sqrt (+ t a))) t)

rewrite88.0ms

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)
36.0ms
(* z (sqrt (+ t a)))
0.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
34.0ms
(/ (* z (sqrt (+ t a))) t)

series473.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (/ 2.0 t) 3.0)
83.0ms
(* z (sqrt (+ t a)))
271.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
101.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.6s

Counts
146 → 146
Iterations

Useful iterations: done (1.6s)

IterNodesCost
03191876
17401756
219931622
done50001602

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-*r*
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×sub-neg associate-*r/
1×cbrt-undiv flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod fma-udef div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 85
Calls
3 calls:
1.0ms
(fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x)
10.0ms
(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
59.0ms
(* a (- c b))

series512.0ms

Counts
3 → 9
Calls
3 calls:
238.0ms
(fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x)
224.0ms
(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
50.0ms
(* a (- c b))

simplify2.6s

Counts
94 → 94
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01751716
13211528
26981323
323941281
done50001226

prune467.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize42.0ms

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 (/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x)) 3)
2.8b
(cbrt (pow (/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x)) 3))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
58×*-un-lft-identity
56×add-cube-cbrt
45×times-frac
32×cbrt-prod
26×unpow-prod-down cube-prod
18×prod-diff
11×add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
7×pow1
5×associate-*r* div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-*l* associate-/r* associate-/l*
2×cbrt-undiv cube-div cube-mult sub-neg unpow3 associate-*r/ div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div flip3-- pow-pow frac-2neg pow1/3 pow-prod-down prod-exp clear-num *-commutative flip-- rem-cbrt-cube cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 167
Calls
4 calls:
5.0ms
(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
35.0ms
(* a (- c b))
7.0ms
(pow (/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x)) 3)
12.0ms
(cbrt (pow (/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x)) 3))

series859.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x))
54.0ms
(* a (- c b))
340.0ms
(pow (/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x)) 3)
244.0ms
(cbrt (pow (/ x (fma y (pow (exp 2.0) (fma 0.8333333333333334 c (* a (- c b)))) x)) 3))

simplify1.1s

Counts
179 → 179
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02404543
15133963
214193508
done50003367

prune791.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (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))
0.2b
(* 0.6666666666666666 (- (/ b t) (/ c t)))
0.9b
(- (/ b t) (/ c t))

rewrite457.0ms

Algorithm
rewrite-expression-head
Rules
1208×times-frac
961×add-sqr-sqrt
951×*-un-lft-identity
935×add-cube-cbrt
846×prod-diff
342×distribute-rgt-in distribute-lft-in associate--l+
136×div-inv
14×fma-neg
12×associate-*r*
8×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
6×pow1 sub-neg
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×flip3-- associate-*l* associate-/r* flip-- associate-/l*
2×distribute-rgt-out-- diff-log frac-sub sub-div
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
4 → 969
Calls
4 calls:
5.0ms
(/ x (fma y (pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))) x))
101.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
176.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
52.0ms
(- (/ b t) (/ c t))

series365.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(/ x (fma y (pow (exp 2.0) (- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))) x))
62.0ms
(- (* 0.6666666666666666 (- (/ b t) (/ c t))) (* 0.8333333333333334 b))
45.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
56.0ms
(- (/ b t) (/ c t))

simplify3.0s

Counts
981 → 981
Iterations

Useful iterations: done (2.9s)

IterNodesCost
082935625
1141131422
2294722964
done500017771

prune4.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes342.0ms

Accuracy

0% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.5b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02631
12931
done2931

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.1s8153×body80nan
2.0s8000×body80valid