Details

Time bar (total: 21.5s)

sample142.0ms

Algorithm
intervals
Results
42.0ms256×body80valid
32.0ms237×body80nan

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 4 (354.0ms)

IterNodesCost
02833
15033
210832
338732
4160431
done500131

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ (/ 2.0 t) 3.0)
1.1b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
7.4b
(/ (* z (sqrt (+ t a))) t)

rewrite55.0ms

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:
23.0ms
(* z (sqrt (+ t a)))
11.0ms
(/ (/ 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))
15.0ms
(/ (* z (sqrt (+ t a))) t)

series387.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* z (sqrt (+ t a)))
22.0ms
(/ (/ 2.0 t) 3.0)
210.0ms
(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)

simplify1.5s

Counts
146 → 146
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03191876
17401756
219821622
done50011602

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt t)
0.7b
(cbrt t)
0.9b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
1.1b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))

rewrite108.0ms

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)
1.0ms
(cbrt t)
97.0ms
(* (/ 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))))

series1.1s

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt t)
281.0ms
(cbrt t)
127.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
392.0ms
(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

prune909.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt t)
0.7b
(cbrt t)
0.7b
(cbrt t)
1.1b
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ (* (cbrt z) (cbrt z)) (cbrt t)) (* (/ (cbrt z) (cbrt t)) (/ (sqrt (+ t a)) (cbrt t)))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ (* (cbrt z) (cbrt z)) (cbrt t)) (* (/ (cbrt z) (cbrt t)) (/ (sqrt (+ t a)) (cbrt t)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
257.0ms
(cbrt t)
330.0ms
(cbrt t)
327.0ms
(cbrt t)
273.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ (* (cbrt z) (cbrt z)) (cbrt t)) (* (/ (cbrt z) (cbrt t)) (/ (sqrt (+ t a)) (cbrt t)))))

simplify1.0s

Counts
61 → 61
Iterations

Useful iterations: done (1.0s)

IterNodesCost
074721
1142704
2340611
31174580
done5001538

prune684.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

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:
19.0ms
(pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b))))
1.0ms
(fma c 0.8333333333333334 (* a (- c b)))
30.0ms
(* a (- c b))
6.0ms
(/ x (fma y (pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b)))) x))

series391.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b))))
68.0ms
(fma c 0.8333333333333334 (* a (- c b)))
50.0ms
(* a (- c b))
197.0ms
(/ x (fma y (pow (exp 2.0) (fma c 0.8333333333333334 (* a (- c b)))) x))

simplify3.3s

Counts
120 → 120
Iterations

Useful iterations: done (3.3s)

IterNodesCost
02122014
13871797
29051592
332321550
done50001494

prune610.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes310.0ms

Accuracy

0% (0.9b remaining)

Error of 1.4b against oracle of 0.5b and baseline of 1.4b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03245
13645
done3645

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.3s8000×body80valid
1.6s8040×body80nan