Details

Time bar (total: 17.5s)

sample32.0ms

Algorithm
intervals
Results
15.0ms255×body80valid
0.0ms1×body1280valid

simplify4.7s

Counts
1 → 1
Iterations
IterNodes
done5000
84082
71989
61145
5750
4496
3200
279
133
016

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize29.0ms

Local error

Found 3 expressions with local error:

0.3b
(fma z x (fma a t (* (- (+ z a) b) y)))
0.5b
(fma a t (* (- (+ z a) b) y))
22.2b
(/ (fma z x (fma a t (* (- (+ z a) b) y))) (+ x (+ y t)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
15×times-frac
13×add-sqr-sqrt add-cube-cbrt
12×distribute-lft-out
5×associate-/r* add-cbrt-cube add-exp-log
3×expm1-log1p-u pow1 log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/ fma-udef
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv
Counts
3 → 59
Calls
3 calls:
0.0ms
(fma z x (fma a t (* (- (+ z a) b) y)))
0.0ms
(fma a t (* (- (+ z a) b) y))
31.0ms
(/ (fma z x (fma a t (* (- (+ z a) b) y))) (+ x (+ y t)))

series457.0ms

Counts
3 → 9
Calls
3 calls:
140.0ms
(fma z x (fma a t (* (- (+ z a) b) y)))
73.0ms
(fma a t (* (- (+ z a) b) y))
243.0ms
(/ (fma z x (fma a t (* (- (+ z a) b) y))) (+ x (+ y t)))

simplify1.8s

Counts
68 → 68
Iterations
IterNodes
done5003
32094
2543
1190
093

prune519.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.7b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ x (+ y t)))
0.3b
(fma z x (fma a t (* (- (+ z a) b) y)))
0.5b
(fma a t (* (- (+ z a) b) y))
22.3b
(* (fma z x (fma a t (* (- (+ z a) b) y))) (/ 1 (+ x (+ y t))))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
32×times-frac
31×add-sqr-sqrt
24×add-cube-cbrt
21×associate-*r* distribute-lft-out
17×add-exp-log
11×add-cbrt-cube
7×pow1
5×associate-/r*
4×expm1-log1p-u div-exp prod-exp associate-/r/ log1p-expm1-u add-log-exp
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ fma-udef div-inv
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 109
Calls
4 calls:
39.0ms
(/ 1 (+ x (+ y t)))
0.0ms
(fma z x (fma a t (* (- (+ z a) b) y)))
0.0ms
(fma a t (* (- (+ z a) b) y))
82.0ms
(* (fma z x (fma a t (* (- (+ z a) b) y))) (/ 1 (+ x (+ y t))))

series549.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(/ 1 (+ x (+ y t)))
126.0ms
(fma z x (fma a t (* (- (+ z a) b) y)))
93.0ms
(fma a t (* (- (+ z a) b) y))
252.0ms
(* (fma z x (fma a t (* (- (+ z a) b) y))) (/ 1 (+ x (+ y t))))

simplify2.3s

Counts
121 → 121
Iterations
IterNodes
done5002
33520
2968
1301
0132

prune736.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.7b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (+ x (+ y t)) (fma z x (fma a t (* (- (+ z a) b) y)))))
0.3b
(fma z x (fma a t (* (- (+ z a) b) y)))
0.5b
(fma a t (* (- (+ z a) b) y))
22.3b
(/ (+ x (+ y t)) (fma z x (fma a t (* (- (+ z a) b) y))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
132×times-frac
70×add-sqr-sqrt add-cube-cbrt
48×distribute-lft-out
22×associate-/r*
17×add-exp-log
11×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×pow1
4×expm1-log1p-u cbrt-undiv log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp fma-udef associate-/l/
1×flip3-+ associate-/r/ flip-+ pow-flip inv-pow
Counts
4 → 161
Calls
4 calls:
29.0ms
(/ 1 (/ (+ x (+ y t)) (fma z x (fma a t (* (- (+ z a) b) y)))))
0.0ms
(fma z x (fma a t (* (- (+ z a) b) y)))
0.0ms
(fma a t (* (- (+ z a) b) y))
54.0ms
(/ (+ x (+ y t)) (fma z x (fma a t (* (- (+ z a) b) y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
817.0ms
(/ 1 (/ (+ x (+ y t)) (fma z x (fma a t (* (- (+ z a) b) y)))))
167.0ms
(fma z x (fma a t (* (- (+ z a) b) y)))
77.0ms
(fma a t (* (- (+ z a) b) y))
128.0ms
(/ (+ x (+ y t)) (fma z x (fma a t (* (- (+ z a) b) y))))

simplify2.2s

Counts
173 → 173
Iterations
IterNodes
done5000
34738
21346
1458
0188

prune811.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 4.9b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune0.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 4.9b

regimes793.0ms

Accuracy

47.4% (11.6b remaining)

Error of 16.6b against oracle of 4.9b and baseline of 27.1b

bsearch90.0ms

Steps
ItersRangePoint
10
1.4758585064246528e+124
3.8846249050047975e+135
1.495453019463624e+124
6
-2.406524831510308e+91
-3.8143119474197446e+90
-4.963679822741099e+90

simplify4.0ms

Iterations
IterNodes
done28
128
022

end0.0ms

sample926.0ms

Algorithm
intervals
Results
635.0ms7997×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid