Details

Time bar (total: 20.9s)

sample82.0ms

Algorithm
intervals
Results
53.0ms439×body80valid

simplify37.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01115
12415
24414
35814
46014
done6014

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
18.6b
(/ (* z z) (* t t))

rewrite489.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
1×frac-2neg times-frac clear-num associate-/r* fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
1.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
487.0ms
(/ (* z z) (* t t))

series203.0ms

Counts
2 → 6
Calls
2 calls:
162.0ms
(fma (/ x y) (/ x y) (/ (* z z) (* t t)))
41.0ms
(/ (* z z) (* t t))

simplify5.5s

Counts
39 → 39
Iterations

Useful iterations: done (5.5s)

IterNodesCost
066517
1153509
2520379
32009364
done5000354

prune211.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b
(* t (/ t z))
0.3b
(fma (/ x y) (/ x y) (/ z (* t (/ t z))))
4.9b
(/ z (* t (/ t z)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
5×pow1 cbrt-undiv div-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp
2×associate-*r/ div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative fma-udef
Counts
3 → 70
Calls
3 calls:
20.0ms
(* t (/ t z))
0.0ms
(fma (/ x y) (/ x y) (/ z (* t (/ t z))))
12.0ms
(/ z (* t (/ t z)))

series277.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* t (/ t z))
174.0ms
(fma (/ x y) (/ x y) (/ z (* t (/ t z))))
68.0ms
(/ z (* t (/ t z)))

simplify3.3s

Counts
79 → 79
Iterations

Useful iterations: done (3.3s)

IterNodesCost
0116821
1264798
2735673
32409647
done5000623

prune299.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (/ z t) t)
0.3b
(fma (/ x y) (/ x y) (* z (/ (/ z t) t)))
4.9b
(* z (/ (/ z t) t))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
90×add-sqr-sqrt
81×add-cube-cbrt *-un-lft-identity
43×associate-*r*
17×add-exp-log add-cbrt-cube
13×associate-/l*
9×div-inv
6×cbrt-undiv div-exp
5×pow1
3×expm1-log1p-u associate-*l* prod-exp associate-/r* cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative fma-udef associate-/l/
Counts
3 → 149
Calls
3 calls:
19.0ms
(/ (/ z t) t)
0.0ms
(fma (/ x y) (/ x y) (* z (/ (/ z t) t)))
59.0ms
(* z (/ (/ z t) t))

series273.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (/ z t) t)
172.0ms
(fma (/ x y) (/ x y) (* z (/ (/ z t) t)))
58.0ms
(* z (/ (/ z t) t))

simplify3.5s

Counts
158 → 158
Iterations

Useful iterations: done (3.5s)

IterNodesCost
02261885
15111760
212831573
344411517
done50011499

prune614.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ z (/ t z))
0.3b
(fma (/ x y) (/ x y) (* (/ 1 t) (/ z (/ t z))))
4.4b
(* (/ 1 t) (/ z (/ t z)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
117×add-sqr-sqrt
90×*-un-lft-identity
87×add-cube-cbrt
47×add-exp-log
44×associate-*r*
29×add-cbrt-cube
21×div-exp
13×associate-*l* associate-/r*
12×cbrt-undiv prod-exp
10×div-inv
9×unswap-sqr
6×cbrt-unprod
5×pow1
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative fma-udef
Counts
3 → 180
Calls
3 calls:
10.0ms
(/ z (/ t z))
0.0ms
(fma (/ x y) (/ x y) (* (/ 1 t) (/ z (/ t z))))
73.0ms
(* (/ 1 t) (/ z (/ t z)))

series257.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ z (/ t z))
169.0ms
(fma (/ x y) (/ x y) (* (/ 1 t) (/ z (/ t z))))
60.0ms
(* (/ 1 t) (/ z (/ t z)))

simplify2.2s

Counts
189 → 189
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02822548
17172201
224001910
done50001820

prune700.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.1b

regimes249.0ms

Accuracy

0% (1.0b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
11347
done1347

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.8s15360×body80valid