Details

Time bar (total: 19.4s)

sample140.0ms

Algorithm
intervals
Results
54.0ms256×body80valid
33.0ms260×body80nan

simplify1.6s

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ a t))
0.2b
(/ (/ 2.0 t) 3.0)
0.6b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
6.3b
(/ (sqrt (+ a t)) (/ t z))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
238×times-frac
161×*-un-lft-identity
134×add-sqr-sqrt
131×add-cube-cbrt
60×sqrt-prod
20×associate-/l*
16×associate-/r*
15×distribute-lft-out
14×add-cbrt-cube add-exp-log div-inv
6×cbrt-undiv div-exp
5×pow1
4×expm1-log1p-u sqrt-div insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l/
2×clear-num frac-2neg flip3-+ flip-+
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ fma-udef hypot-def
Counts
4 → 235
Calls
4 calls:
12.0ms
(sqrt (+ a t))
24.0ms
(/ (/ 2.0 t) 3.0)
0.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
21.0ms
(/ (sqrt (+ a t)) (/ t z))

series412.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(sqrt (+ a t))
37.0ms
(/ (/ 2.0 t) 3.0)
213.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
110.0ms
(/ (sqrt (+ a t)) (/ t z))

simplify2.5s

Counts
247 → 247
Iterations
IterNodes
done5000
22762
11090
0449

prune2.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (* (* (cbrt z) (cbrt z)) (sqrt (+ t a))) (/ t (cbrt z))))
3.3b
(/ (* (* (cbrt z) (cbrt z)) (sqrt (+ t a))) (/ t (cbrt z)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
32×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
25×add-exp-log
24×cbrt-prod
22×associate-/r*
18×add-cbrt-cube
9×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×div-inv
2×pow1/3 sqrt-div associate-*r/ associate-/l/
1×clear-num frac-2neg flip3-+ associate-/r/ flip-+ fma-udef associate-/l*
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
0.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (* (* (cbrt z) (cbrt z)) (sqrt (+ t a))) (/ t (cbrt z))))
68.0ms
(/ (* (* (cbrt z) (cbrt z)) (sqrt (+ t a))) (/ t (cbrt z)))

series992.0ms

Counts
4 → 12
Calls
4 calls:
277.0ms
(cbrt z)
283.0ms
(cbrt z)
289.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (* (* (cbrt z) (cbrt z)) (sqrt (+ t a))) (/ t (cbrt z))))
143.0ms
(/ (* (* (cbrt z) (cbrt z)) (sqrt (+ t a))) (/ t (cbrt z)))

simplify1.6s

Counts
124 → 124
Iterations
IterNodes
done5044
22702
1739
0260

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* 2.0 (- (fma (/ b t) 0.6666666666666666 (* 0.8333333333333334 c)) (/ (* c 0.6666666666666666) t))))
0.1b
(fma (/ b t) 0.6666666666666666 (* 0.8333333333333334 c))
0.2b
(/ (* c 0.6666666666666666) t)
0.8b
(- (fma (/ b t) 0.6666666666666666 (* 0.8333333333333334 c)) (/ (* c 0.6666666666666666) t))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
63×prod-diff
48×add-sqr-sqrt *-un-lft-identity exp-sum
46×add-cube-cbrt
30×times-frac
24×distribute-rgt-in distribute-lft-in
10×div-inv
9×add-cbrt-cube add-exp-log
8×add-log-exp
4×expm1-log1p-u pow1 fma-udef insert-posit16 log1p-expm1-u
3×associate-/r* sub-neg fma-neg associate--l+
2×cbrt-undiv div-exp
1×exp-prod clear-num frac-2neg flip3-- exp-to-pow diff-log prod-exp cbrt-unprod flip-- associate-/l* distribute-lft-out-- difference-of-squares rem-exp-log
Counts
4 → 138
Calls
4 calls:
15.0ms
(exp (* 2.0 (- (fma (/ b t) 0.6666666666666666 (* 0.8333333333333334 c)) (/ (* c 0.6666666666666666) t))))
1.0ms
(fma (/ b t) 0.6666666666666666 (* 0.8333333333333334 c))
20.0ms
(/ (* c 0.6666666666666666) t)
21.0ms
(- (fma (/ b t) 0.6666666666666666 (* 0.8333333333333334 c)) (/ (* c 0.6666666666666666) t))

series255.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(exp (* 2.0 (- (fma (/ b t) 0.6666666666666666 (* 0.8333333333333334 c)) (/ (* c 0.6666666666666666) t))))
77.0ms
(fma (/ b t) 0.6666666666666666 (* 0.8333333333333334 c))
30.0ms
(/ (* c 0.6666666666666666) t)
58.0ms
(- (fma (/ b t) 0.6666666666666666 (* 0.8333333333333334 c)) (/ (* c 0.6666666666666666) t))

simplify1.7s

Counts
150 → 150
Iterations
IterNodes
done5000
21932
1706
0319

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes412.0ms

Accuracy

0% (1.4b remaining)

Error of 1.9b against oracle of 0.5b and baseline of 1.9b

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done32
132
029

end0.0ms

sample4.8s

Algorithm
intervals
Results
2.0s8062×body80nan
1.9s8000×body80valid