Details

Time bar (total: 18.4s)

sample47.0ms

Algorithm
intervals
Results
21.0ms275×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
010205
118205
233205
361180
4116180
5190180
6278180
7374180
8657180
91242180
103638180
done5000180

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
3.9b
(fma (/ y (- z a)) (- z t) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/l*
2×expm1-log1p-u pow1 associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp fma-udef div-inv flip--
Counts
2 → 49
Calls
2 calls:
9.0ms
(/ y (- z a))
0.0ms
(fma (/ y (- z a)) (- z t) x)

series196.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ y (- z a))
133.0ms
(fma (/ y (- z a)) (- z t) x)

simplify1.4s

Counts
55 → 55
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
09211509
117710812
245410732
3152110732
done500010732

prune451.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.9b
(/ 1 (/ (- z a) y))
3.9b
(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
82×add-sqr-sqrt *-un-lft-identity
58×add-cube-cbrt
19×associate-/r*
13×add-exp-log
12×distribute-lft-out-- difference-of-squares
7×add-cbrt-cube div-exp
5×div-inv
3×pow1 cbrt-undiv associate-/l*
2×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
1×clear-num frac-2neg associate-/r/ fma-udef pow-flip inv-pow
Counts
2 → 112
Calls
2 calls:
17.0ms
(/ 1 (/ (- z a) y))
0.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

series343.0ms

Counts
2 → 6
Calls
2 calls:
130.0ms
(/ 1 (/ (- z a) y))
212.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify2.1s

Counts
118 → 118
Iterations

Useful iterations: done (2.1s)

IterNodesCost
018838992
146429814
2186929549
done500125801

prune514.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y (- z a)) (- z t) x))
3.9b
(fma (/ y (- z a)) (- z t) x)
3.9b
(fma (/ y (- z a)) (- z t) x)
3.9b
(fma (/ y (- z a)) (- z t) x)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×cbrt-prod fma-udef
1×pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (/ y (- z a)) (- z t) x))
0.0ms
(fma (/ y (- z a)) (- z t) x)
0.0ms
(fma (/ y (- z a)) (- z t) x)
0.0ms
(fma (/ y (- z a)) (- z t) x)

series761.0ms

Counts
4 → 12
Calls
4 calls:
387.0ms
(cbrt (fma (/ y (- z a)) (- z t) x))
126.0ms
(fma (/ y (- z a)) (- z t) x)
114.0ms
(fma (/ y (- z a)) (- z t) x)
134.0ms
(fma (/ y (- z a)) (- z t) x)

simplify3.2s

Counts
55 → 55
Iterations

Useful iterations: 4 (838.0ms)

IterNodesCost
04713778
18413567
216913567
349813297
4304413155
done500013155

prune496.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) (- z a)))
0.0b
(* y (- z t))
9.8b
(/ (* y (- z t)) (- z a))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-cbrt-cube add-exp-log
5×pow1 associate-/r* times-frac associate-*r* add-log-exp
4×associate-*r/
3×expm1-log1p-u fma-def flip3-- associate-*l* log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv sub-neg div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 94
Calls
3 calls:
17.0ms
(+ x (/ (* y (- z t)) (- z a)))
23.0ms
(* y (- z t))
33.0ms
(/ (* y (- z t)) (- z a))

series321.0ms

Counts
3 → 9
Calls
3 calls:
137.0ms
(+ x (/ (* y (- z t)) (- z a)))
47.0ms
(* y (- z t))
137.0ms
(/ (* y (- z t)) (- z a))

simplify1.8s

Counts
103 → 103
Iterations

Useful iterations: done (1.8s)

IterNodesCost
018226630
147523377
2199419588
done500019313

prune521.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes745.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010205
111205
done11205

end0.0ms

sample1.1s

Algorithm
intervals
Results
500.0ms8710×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid