Details

Time bar (total: 54.8s)

sample151.0ms

Algorithm
intervals
Results
45.0ms256×body80valid
32.0ms252×body80nan

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
done5003
41440
3365
2102
150
028

prune73.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.5b

localize240.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* 2.0 (fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))))
0.3b
(/ (/ 2.0 t) 3.0)
1.6b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
6.7b
(/ (sqrt (+ a t)) (/ t z))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
238×times-frac
158×*-un-lft-identity
130×add-sqr-sqrt add-cube-cbrt
56×sqrt-prod
20×associate-/l*
16×associate-/r*
14×add-cbrt-cube add-exp-log div-inv distribute-lft-out
6×cbrt-undiv div-exp add-log-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×fma-udef associate-/l/
2×clear-num frac-2neg sqrt-div exp-sum
1×distribute-rgt-in exp-prod distribute-lft-in flip3-+ exp-to-pow associate-/r/ flip-+ rem-exp-log
Counts
4 → 230
Calls
4 calls:
20.0ms
(exp (* 2.0 (fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))))
24.0ms
(/ (/ 2.0 t) 3.0)
1.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
85.0ms
(/ (sqrt (+ a t)) (/ t z))

series901.0ms

Counts
4 → 12
Calls
4 calls:
452.0ms
(exp (* 2.0 (fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))))
22.0ms
(/ (/ 2.0 t) 3.0)
326.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
101.0ms
(/ (sqrt (+ a t)) (/ t z))

simplify6.3s

Counts
242 → 242
Iterations
IterNodes
done5001
23011
11109
0459

prune5.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize376.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 2.0 t) 3.0)
1.2b
(log (exp (fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))))
1.6b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
6.7b
(/ (sqrt (+ a t)) (/ t z))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
238×times-frac
160×*-un-lft-identity
132×add-sqr-sqrt add-cube-cbrt
56×sqrt-prod
20×associate-/l*
16×associate-/r*
14×add-cbrt-cube add-exp-log div-inv distribute-lft-out
6×cbrt-undiv div-exp
5×pow1
4×expm1-log1p-u log-prod log-pow insert-posit16 log1p-expm1-u add-log-exp
3×exp-prod associate-/l/
2×clear-num frac-2neg sqrt-div fma-udef
1×flip3-+ rem-log-exp exp-sum associate-/r/ flip-+
Counts
4 → 234
Calls
4 calls:
25.0ms
(/ (/ 2.0 t) 3.0)
15.0ms
(log (exp (fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))))
3.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
87.0ms
(/ (sqrt (+ a t)) (/ t z))

series805.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (/ 2.0 t) 3.0)
331.0ms
(log (exp (fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))))
321.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
114.0ms
(/ (sqrt (+ a t)) (/ t z))

simplify6.2s

Counts
246 → 246
Iterations
IterNodes
done5002
22783
11053
0447

prune5.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize350.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))) (- c b))
0.3b
(/ (sqrt (+ t a)) t)
0.3b
(/ 2.0 (* t 3.0))
2.5b
(fma z (/ (sqrt (+ t a)) t) (* (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))) (- c b)))

rewrite769.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
40×add-sqr-sqrt
36×add-cube-cbrt
24×times-frac
18×prod-diff
16×sqrt-prod
13×add-cbrt-cube add-exp-log
11×distribute-rgt-in distribute-lft-in
10×associate-/l*
6×pow1 distribute-lft-out
5×associate-*r* associate-*l*
4×expm1-log1p-u frac-times associate-/r* flip3-+ flip-+ insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- div-exp flip--
2×clear-num sub-neg frac-2neg sqrt-div associate-*l/ prod-exp associate-*r/ cbrt-unprod div-inv distribute-lft-out-- associate-/l/
1×pow-prod-down *-commutative fma-udef difference-of-squares unswap-sqr
Counts
4 → 138
Calls
4 calls:
660.0ms
(* (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))) (- c b))
61.0ms
(/ (sqrt (+ t a)) t)
33.0ms
(/ 2.0 (* t 3.0))
3.0ms
(fma z (/ (sqrt (+ t a)) t) (* (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))) (- c b)))

series636.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))) (- c b))
106.0ms
(/ (sqrt (+ t a)) t)
22.0ms
(/ 2.0 (* t 3.0))
386.0ms
(fma z (/ (sqrt (+ t a)) t) (* (+ a (- (/ 5.0 6.0) (/ 2.0 (* t 3.0)))) (- c b)))

simplify5.4s

Counts
150 → 150
Iterations
IterNodes
done5000
22364
1761
0303

prune3.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize232.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* 2.0 (fma 0.6666666666666666 (/ b t) (- (* c 0.8333333333333334) (* (/ c t) 0.6666666666666666)))))
0.0b
(- (* c 0.8333333333333334) (* (/ c t) 0.6666666666666666))
0.2b
(* (/ c t) 0.6666666666666666)
1.1b
(fma 0.6666666666666666 (/ b t) (- (* c 0.8333333333333334) (* (/ c t) 0.6666666666666666)))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity add-cube-cbrt
10×times-frac
9×add-cbrt-cube add-exp-log
8×add-log-exp
6×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-*r* fma-udef
2×exp-sum prod-exp cbrt-unprod unswap-sqr
1×distribute-rgt-in cbrt-undiv exp-prod sub-neg distribute-lft-in flip3-- exp-to-pow fma-neg diff-log div-exp prod-diff pow-prod-down associate-*l/ *-commutative div-inv flip-- rem-exp-log
Counts
4 → 78
Calls
4 calls:
12.0ms
(exp (* 2.0 (fma 0.6666666666666666 (/ b t) (- (* c 0.8333333333333334) (* (/ c t) 0.6666666666666666)))))
27.0ms
(- (* c 0.8333333333333334) (* (/ c t) 0.6666666666666666))
64.0ms
(* (/ c t) 0.6666666666666666)
3.0ms
(fma 0.6666666666666666 (/ b t) (- (* c 0.8333333333333334) (* (/ c t) 0.6666666666666666)))

series348.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(exp (* 2.0 (fma 0.6666666666666666 (/ b t) (- (* c 0.8333333333333334) (* (/ c t) 0.6666666666666666)))))
67.0ms
(- (* c 0.8333333333333334) (* (/ c t) 0.6666666666666666))
33.0ms
(* (/ c t) 0.6666666666666666)
80.0ms
(fma 0.6666666666666666 (/ b t) (- (* c 0.8333333333333334) (* (/ c t) 0.6666666666666666)))

simplify3.5s

Counts
90 → 90
Iterations
IterNodes
done5002
21277
1404
0172

prune2.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes2.3s

Accuracy

0% (1.6b remaining)

Error of 1.7b against oracle of 0.1b and baseline of 1.7b

bsearch0.0ms

simplify17.0ms

Iterations
IterNodes
done30
130
028

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.0s7932×body80nan
1.8s8000×body80valid