Details

Time bar (total: 26.9s)

sample119.0ms

Algorithm
intervals
Results
35.0ms256×body80valid
32.0ms260×body80nan

simplify1.5s

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize92.0ms

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))

rewrite54.0ms

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:
7.0ms
(sqrt (+ a t))
10.0ms
(/ (/ 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)))
28.0ms
(/ (sqrt (+ a t)) (/ t z))

series452.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(sqrt (+ a t))
19.0ms
(/ (/ 2.0 t) 3.0)
272.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
95.0ms
(/ (sqrt (+ a t)) (/ t z))

simplify2.1s

Counts
247 → 247
Iterations
IterNodes
done5000
22762
11090
0449

prune2.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize109.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
619×times-frac
277×*-un-lft-identity
231×add-sqr-sqrt add-cube-cbrt
114×cbrt-prod
92×sqrt-prod
36×div-inv
25×add-exp-log
23×distribute-lft-out
22×associate-/r*
18×add-cbrt-cube
13×cbrt-undiv div-exp
11×associate-/l*
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
2×pow1/3 prod-exp cbrt-unprod
1×clear-num frac-2neg associate-/r/ fma-udef associate-/l/
Counts
4 → 341
Calls
4 calls:
2.0ms
(cbrt t)
2.0ms
(cbrt t)
52.0ms
(/ (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ (cbrt t) z))
0.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ (cbrt t) z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
296.0ms
(cbrt t)
315.0ms
(cbrt t)
132.0ms
(/ (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ (cbrt t) z))
308.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ (cbrt t) z)))

simplify1.9s

Counts
353 → 353
Iterations
IterNodes
done5000
11866
0546

prune4.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize130.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(/ (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ (posit16->real (real->posit16 (cbrt t))) z))
0.6b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ (posit16->real (real->posit16 (cbrt t))) z)))
57.4b
(posit16->real (real->posit16 (cbrt t)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
349×times-frac
159×*-un-lft-identity
131×add-sqr-sqrt add-cube-cbrt
56×sqrt-prod
27×div-inv
25×add-exp-log
21×add-cbrt-cube
14×distribute-lft-out
13×cbrt-undiv associate-/r* div-exp
11×associate-/l*
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod
2×prod-exp cbrt-unprod
1×clear-num frac-2neg pow1/3 associate-/r/ fma-udef remove-posit16 associate-/l/
Counts
4 → 230
Calls
4 calls:
7.0ms
(cbrt t)
65.0ms
(/ (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ (posit16->real (real->posit16 (cbrt t))) z))
1.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ (posit16->real (real->posit16 (cbrt t))) z)))
1.0ms
(posit16->real (real->posit16 (cbrt t)))

series1.4s

Counts
4 → 12
Calls
4 calls:
671.0ms
(cbrt t)
158.0ms
(/ (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ (posit16->real (real->posit16 (cbrt t))) z))
323.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ (posit16->real (real->posit16 (cbrt t))) z)))
296.0ms
(posit16->real (real->posit16 (cbrt t)))

simplify2.7s

Counts
242 → 242
Iterations
IterNodes
done5017
24400
11361
0437

prune3.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes503.0ms

Accuracy

0% (0.6b remaining)

Error of 1.6b against oracle of 1.0b and baseline of 1.6b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done31
131
029

end0.0ms

sample4.4s

Algorithm
intervals
Results
2.0s8062×body80nan
1.6s8000×body80valid