Details

Time bar (total: 11.6s)

sample46.0ms

Algorithm
intervals
Results
25.0ms419×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 4 (428.0ms)

IterNodesCost
01821
13821
211819
341619
4137718
done500018

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma a (- 1.0 t) x)
0.0b
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
0.0ms
(fma a (- 1.0 t) x)
0.0ms
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))

series247.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(fma a (- 1.0 t) x)
203.0ms
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (fma a (- 1.0 t) x)))

simplify863.0ms

Counts
26 → 26
Iterations

Useful iterations: 3 (152.0ms)

IterNodesCost
050384
195377
2210323
3727321
done5001321

prune97.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (* (sqrt (fma a (- 1.0 t) x)) (sqrt (fma a (- 1.0 t) x)))))
0.0b
(sqrt (fma a (- 1.0 t) x))
0.0b
(sqrt (fma a (- 1.0 t) x))
0.2b
(* (sqrt (fma a (- 1.0 t) x)) (sqrt (fma a (- 1.0 t) x)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (* (sqrt (fma a (- 1.0 t) x)) (sqrt (fma a (- 1.0 t) x)))))
2.0ms
(sqrt (fma a (- 1.0 t) x))
2.0ms
(sqrt (fma a (- 1.0 t) x))
21.0ms
(* (sqrt (fma a (- 1.0 t) x)) (sqrt (fma a (- 1.0 t) x)))

series492.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(fma b (- (+ y t) 2.0) (fma (- 1.0 y) z (* (sqrt (fma a (- 1.0 t) x)) (sqrt (fma a (- 1.0 t) x)))))
147.0ms
(sqrt (fma a (- 1.0 t) x))
142.0ms
(sqrt (fma a (- 1.0 t) x))
29.0ms
(* (sqrt (fma a (- 1.0 t) x)) (sqrt (fma a (- 1.0 t) x)))

simplify1.5s

Counts
103 → 103
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01141772
12351180
25821052
319341005
done5001986

prune347.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* t (- b a)) (* z y))
0.0b
(* t (- b a))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
37×prod-diff
32×add-sqr-sqrt
30×*-un-lft-identity
28×add-cube-cbrt
22×distribute-rgt-in distribute-lft-in associate--l+
5×sub-neg associate-*r*
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
1×fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 84
Calls
2 calls:
22.0ms
(- (* t (- b a)) (* z y))
23.0ms
(* t (- b a))

series122.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(- (* t (- b a)) (* z y))
55.0ms
(* t (- b a))

simplify2.4s

Counts
90 → 90
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01431323
13041033
2686866
32575804
done5000709

prune231.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01518
11618
done1618

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.1s12474×body80valid
1.0ms4×body320valid
1.0ms2×body640valid
0.0ms1×body160valid