Details

Time bar (total: 19.8s)

sample161.0ms

Algorithm
intervals
Results
56.0ms256×body80valid
43.0ms268×body80nan

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 4 (558.0ms)

IterNodesCost
028721
150721
2108696
3388696
41923671
done5002671

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
1.1b
(fma (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- c b) (/ (* z (sqrt (+ t a))) t))
6.4b
(/ (* z (sqrt (+ t a))) t)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
7×associate-*r*
6×pow1 times-frac
5×sqrt-prod
4×expm1-log1p-u cbrt-undiv associate-/r* sqrt-div div-exp associate-*r/ log1p-expm1-u associate-/l* add-log-exp
3×associate-*l* prod-exp cbrt-unprod
2×clear-num frac-2neg flip3-+ flip-+ div-inv unswap-sqr associate-/l/
1×pow-prod-down *-commutative fma-udef distribute-lft-out
Counts
4 → 85
Calls
4 calls:
28.0ms
(* z (sqrt (+ t a)))
10.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- c b) (/ (* z (sqrt (+ t a))) t))
19.0ms
(/ (* z (sqrt (+ t a))) t)

series483.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* z (sqrt (+ t a)))
23.0ms
(/ 2.0 (* t 3.0))
250.0ms
(fma (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- c b) (/ (* z (sqrt (+ t a))) t))
109.0ms
(/ (* z (sqrt (+ t a))) t)

simplify1.6s

Counts
97 → 97
Iterations

Useful iterations: done (1.6s)

IterNodesCost
022225191
154222148
2231821633
done500221468

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize103.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.1b
(fma (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- c b) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
2.5b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

rewrite118.0ms

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 pow-prod-down associate-*l/ associate-*r/ *-commutative fma-udef
Counts
4 → 125
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(fma (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- c b) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
111.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

series995.0ms

Counts
4 → 12
Calls
4 calls:
282.0ms
(cbrt t)
291.0ms
(cbrt t)
260.0ms
(fma (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0))) (- c b) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))))
161.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))

simplify3.6s

Counts
137 → 137
Iterations

Useful iterations: done (3.6s)

IterNodesCost
024656561
173651713
2476350637
done500150602

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* 2.0 (- (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)) (* 0.6666666666666666 (/ c t)))))
0.1b
(fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c))
0.2b
(* 0.6666666666666666 (/ c t))
1.6b
(- (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)) (* 0.6666666666666666 (/ c t)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
13×associate-*r*
12×exp-sum
10×times-frac
9×add-cbrt-cube prod-diff add-exp-log
8×add-log-exp
6×distribute-rgt-in pow1 distribute-lft-in
4×expm1-log1p-u fma-udef log1p-expm1-u
3×sub-neg fma-neg associate-*l* associate--l+
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv exp-prod flip3-- exp-to-pow diff-log div-exp pow-prod-down associate-*r/ *-commutative div-inv flip-- rem-exp-log
Counts
4 → 89
Calls
4 calls:
14.0ms
(exp (* 2.0 (- (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)) (* 0.6666666666666666 (/ c t)))))
1.0ms
(fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c))
29.0ms
(* 0.6666666666666666 (/ c t))
5.0ms
(- (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)) (* 0.6666666666666666 (/ c t)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(exp (* 2.0 (- (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)) (* 0.6666666666666666 (/ c t)))))
58.0ms
(fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c))
33.0ms
(* 0.6666666666666666 (/ c t))
55.0ms
(- (fma 0.6666666666666666 (/ b t) (* 0.8333333333333334 c)) (* 0.6666666666666666 (/ c t)))

simplify2.1s

Counts
101 → 101
Iterations

Useful iterations: done (2.1s)

IterNodesCost
019331176
147628863
2202526833
done500026649

prune685.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes538.0ms

Accuracy

0% (1.1b remaining)

Error of 1.4b against oracle of 0.3b and baseline of 1.4b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
029831
134831
done34831

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.7s7966×body80nan
1.6s8000×body80valid