Details

Time bar (total: 22.7s)

sample51.0ms

Algorithm
intervals
Results
26.0ms341×body80valid

simplify4.6s

Counts
1 → 1
Iterations
IterNodes
done5000
112823
101465
9888
8547
7333
6217
5165
4107
360
227
114
08

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
8.6b
(* (- y x) (/ z t))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac
7×add-cbrt-cube add-exp-log
5×associate-*l*
4×pow1 add-log-exp
3×fma-def
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp cbrt-unprod log1p-expm1-u flip-- unswap-sqr
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down associate-*r/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
11.0ms
(+ x (* (- y x) (/ z t)))
50.0ms
(* (- y x) (/ z t))

series149.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(+ x (* (- y x) (/ z t)))
81.0ms
(* (- y x) (/ z t))

simplify3.3s

Counts
62 → 62
Iterations
IterNodes
done5000
34950
21072
1318
0119

prune361.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ x (/ t z)))
1.8b
(fma (/ z t) y (- x (/ x (/ t z))))
5.9b
(/ x (/ t z))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
204×add-sqr-sqrt
197×*-un-lft-identity
195×add-cube-cbrt
132×prod-diff
17×div-inv
13×associate-/r*
8×add-cbrt-cube add-exp-log
5×add-log-exp
4×associate-/r/
3×expm1-log1p-u pow1 cbrt-undiv fma-neg div-exp log1p-expm1-u associate-/l* difference-of-squares
1×clear-num sub-neg frac-2neg flip3-- diff-log fma-udef flip-- distribute-lft-out--
Counts
3 → 235
Calls
3 calls:
32.0ms
(- x (/ x (/ t z)))
0.0ms
(fma (/ z t) y (- x (/ x (/ t z))))
8.0ms
(/ x (/ t z))

series155.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- x (/ x (/ t z)))
66.0ms
(fma (/ z t) y (- x (/ x (/ t z))))
51.0ms
(/ x (/ t z))

simplify2.8s

Counts
244 → 244
Iterations
IterNodes
done5000
24956
11353
0501

prune2.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) t)
4.7b
(fma (/ (- y x) t) z x)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
3×associate-/r*
2×expm1-log1p-u pow1 log1p-expm1-u add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp fma-udef div-inv flip--
Counts
2 → 50
Calls
2 calls:
28.0ms
(/ (- y x) t)
1.0ms
(fma (/ (- y x) t) z x)

series131.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- y x) t)
82.0ms
(fma (/ (- y x) t) z x)

simplify2.0s

Counts
56 → 56
Iterations
IterNodes
done5000
31512
2446
1199
093

prune413.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- y x))
0.4b
(/ 1 (/ t (- y x)))
4.7b
(fma (/ 1 (/ t (- y x))) z x)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp
1×fma-udef pow-flip inv-pow
Counts
3 → 159
Calls
3 calls:
10.0ms
(/ t (- y x))
15.0ms
(/ 1 (/ t (- y x)))
0.0ms
(fma (/ 1 (/ t (- y x))) z x)

series170.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(/ t (- y x))
56.0ms
(/ 1 (/ t (- y x)))
50.0ms
(fma (/ 1 (/ t (- y x))) z x)

simplify3.2s

Counts
168 → 168
Iterations
IterNodes
done5000
34966
21380
1543
0227

prune790.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes495.0ms

Accuracy

13.8% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.0b

bsearch151.0ms

Steps
ItersRangePoint
7
7.264930716204441e-148
6.79534442507812e-146
3.7129663721873005e-146
9
4.7887272772883084e-300
3.7026783114754454e-295
4.822393349640528e-297

simplify4.0ms

Iterations
IterNodes
done27
127
021

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.0s10706×body80valid