Details

Time bar (total: 50.1s)

sample229.0ms

Algorithm
intervals
Results
71.0ms256×body80valid
46.0ms260×body80nan

simplify3.2s

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

prune105.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize124.0ms

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))

rewrite101.0ms

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:
11.0ms
(sqrt (+ a t))
19.0ms
(/ (/ 2.0 t) 3.0)
2.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
43.0ms
(/ (sqrt (+ a t)) (/ t z))

series567.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(sqrt (+ a t))
38.0ms
(/ (/ 2.0 t) 3.0)
335.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
117.0ms
(/ (sqrt (+ a t)) (/ t z))

simplify4.8s

Counts
247 → 247
Iterations
IterNodes
done5000
22941
11088
0449

prune5.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize174.0ms

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)))

rewrite168.0ms

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:
3.0ms
(cbrt t)
3.0ms
(cbrt t)
94.0ms
(/ (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ (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))) (/ (cbrt t) z)))

series1.2s

Counts
4 → 12
Calls
4 calls:
324.0ms
(cbrt t)
334.0ms
(cbrt t)
202.0ms
(/ (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ (cbrt t) z))
367.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ (cbrt t) z)))

simplify3.8s

Counts
353 → 353
Iterations
IterNodes
done5001
11862
0546

prune7.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize187.0ms

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)))

rewrite98.0ms

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:
4.0ms
(cbrt t)
60.0ms
(/ (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ (posit16->real (real->posit16 (cbrt t))) z))
2.0ms
(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)))
2.0ms
(posit16->real (real->posit16 (cbrt t)))

series1.1s

Counts
4 → 12
Calls
4 calls:
282.0ms
(cbrt t)
194.0ms
(/ (/ (sqrt (+ t a)) (* (cbrt t) (cbrt t))) (/ (posit16->real (real->posit16 (cbrt t))) z))
327.0ms
(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)))
275.0ms
(posit16->real (real->posit16 (cbrt t)))

simplify6.7s

Counts
242 → 242
Iterations
IterNodes
done5011
24363
11395
0437

prune7.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes2.2s

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done31
131
029

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.2s8062×body80nan
1.4s8000×body80valid