Details

Time bar (total: 24.9s)

sample161.0ms

Algorithm
intervals
Results
60.0ms256×body80valid
32.0ms255×body80nan

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 4 (429.0ms)

IterNodesCost
02833
15033
210832
338832
4192331
done500231

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize40.0ms

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))
4.8b
(/ (* 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:
38.0ms
(* z (sqrt (+ t a)))
20.0ms
(/ (/ 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))
16.0ms
(/ (* z (sqrt (+ t a))) t)

series552.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* z (sqrt (+ t a)))
33.0ms
(/ (/ 2.0 t) 3.0)
278.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (/ (* z (sqrt (+ t a))) t))
128.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.8s

Counts
146 → 146
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03191876
17801756
233311636
done50021622

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(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))))
2.4b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite161.0ms

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:
2.0ms
(cbrt t)
2.0ms
(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))))
145.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
282.0ms
(cbrt t)
335.0ms
(cbrt t)
323.0ms
(fma (- (/ (/ 2.0 t) 3.0) (+ a (/ 5.0 6.0))) (- b c) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
134.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify3.7s

Counts
137 → 137
Iterations

Useful iterations: done (3.7s)

IterNodesCost
02452460
17332317
247171868
done50001865

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.1b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.8b
(/ (* z (sqrt (+ t a))) t)

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
63×prod-diff
62×associate--r+
49×add-sqr-sqrt
45×add-cube-cbrt
36×times-frac
31×distribute-rgt-in distribute-lft-in
20×frac-sub
16×add-exp-log add-cbrt-cube
15×distribute-lft-out
12×div-inv
9×flip3-- flip--
8×frac-times associate-*r/
7×fma-neg associate-*r*
6×pow1 add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv expm1-log1p-u sqrt-div div-exp associate-/r* log1p-expm1-u associate-/l*
3×sub-neg associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative
Counts
4 → 179
Calls
4 calls:
24.0ms
(* z (sqrt (+ t a)))
9.0ms
(/ 2.0 (* t 3.0))
141.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
32.0ms
(/ (* z (sqrt (+ t a))) t)

series518.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* z (sqrt (+ t a)))
31.0ms
(/ 2.0 (* t 3.0))
310.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
95.0ms
(/ (* z (sqrt (+ t a))) t)

simplify744.0ms

Counts
191 → 191
Iterations

Useful iterations: done (729.0ms)

IterNodesCost
04855298
114064885
done50014487

prune2.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (fma y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))) x))
0.0b
(* c (+ a 0.8333333333333334))
0.0b
(pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b)))
0.8b
(- (* c (+ a 0.8333333333333334)) (* a b))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
17×add-cube-cbrt
9×times-frac
8×add-exp-log add-cbrt-cube
7×pow1
6×add-log-exp
5×unpow-prod-up
4×expm1-log1p-u pow-pow associate-*r* associate--l+ log1p-expm1-u
3×distribute-rgt-in unpow-prod-down pow-unpow exp-prod distribute-lft-in associate-*l* associate-/r* associate-/l*
2×sub-neg associate-*r/ prod-diff
1×cbrt-undiv pow-to-exp flip3-- frac-2neg flip3-+ fma-neg diff-log div-exp pow-prod-down pow-exp prod-exp clear-num *-commutative flip-- cbrt-unprod flip-+ div-inv distribute-lft-out pow-sub unswap-sqr sqr-pow
Counts
4 → 100
Calls
4 calls:
6.0ms
(/ x (fma y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))) x))
42.0ms
(* c (+ a 0.8333333333333334))
12.0ms
(pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b)))
19.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

series393.0ms

Counts
4 → 12
Calls
4 calls:
224.0ms
(/ x (fma y (pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b))) x))
47.0ms
(* c (+ a 0.8333333333333334))
81.0ms
(pow (exp 2.0) (- (* c (+ a 0.8333333333333334)) (* a b)))
40.0ms
(- (* c (+ a 0.8333333333333334)) (* a b))

simplify1.1s

Counts
112 → 112
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01831793
14581713
217691604
done50011602

prune956.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (1.0b remaining)

Error of 1.6b against oracle of 0.6b and baseline of 1.6b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02938
13238
done3238

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.2s7957×body80nan
1.6s8000×body80valid