Details

Time bar (total: 19.2s)

sample61.0ms

Algorithm
intervals
Results
30.0ms356×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5000
72538
6794
5305
4145
393
254
124
011

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.2b
(/ y (* z 3.0))
6.8b
(/ t (* (* z 3.0) y))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
25×add-sqr-sqrt
23×associate-+l+ add-cbrt-cube add-exp-log add-cube-cbrt
21×prod-diff
15×times-frac
9×pow1 add-log-exp
7×prod-exp cbrt-unprod
6×associate-/l*
5×cbrt-undiv fma-def div-exp div-inv
4×expm1-log1p-u log1p-expm1-u
3×associate-*r* pow-prod-down
2×clear-num associate-/r* sum-log frac-2neg frac-add distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg flip3-+ flip3-- diff-log associate-*l* *-commutative associate-+l- flip-+ flip-- difference-of-squares
Counts
4 → 115
Calls
4 calls:
114.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
14.0ms
(* (* z 3.0) y)
6.0ms
(/ y (* z 3.0))
22.0ms
(/ t (* (* z 3.0) y))

series286.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
44.0ms
(* (* z 3.0) y)
40.0ms
(/ y (* z 3.0))
49.0ms
(/ t (* (* z 3.0) y))

simplify2.0s

Counts
127 → 127
Iterations
IterNodes
done5001
23192
1510
0184

prune928.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (/ (- y) 3.0) (/ y 3.0)) (/ (/ t (* z 3.0)) y)))
0.3b
(/ t (* z 3.0))
0.3b
(* (/ y 3.0) (/ 1 z))
3.6b
(/ (/ t (* z 3.0)) y)

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
61×times-frac
54×add-sqr-sqrt
41×*-un-lft-identity
40×add-exp-log
37×add-cube-cbrt
30×add-cbrt-cube
15×div-exp
13×associate-*r* associate-*l*
11×cbrt-undiv
10×prod-exp associate-/l*
8×div-inv
6×pow1 cbrt-unprod add-log-exp unswap-sqr
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×fma-def
2×rec-exp clear-num frac-2neg 1-exp fma-udef
1×frac-times +-commutative associate-+l+ associate-+r+ sum-log flip3-+ pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative flip-+ distribute-lft-out associate-/l/
Counts
4 → 151
Calls
4 calls:
10.0ms
(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (/ (- y) 3.0) (/ y 3.0)) (/ (/ t (* z 3.0)) y)))
21.0ms
(/ t (* z 3.0))
39.0ms
(* (/ y 3.0) (/ 1 z))
23.0ms
(/ (/ t (* z 3.0)) y)

series324.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(+ (fma 1 x (- (* (/ y 3.0) (/ 1 z)))) (fma (/ 1 z) (+ (/ (- y) 3.0) (/ y 3.0)) (/ (/ t (* z 3.0)) y)))
40.0ms
(/ t (* z 3.0))
42.0ms
(* (/ y 3.0) (/ 1 z))
39.0ms
(/ (/ t (* z 3.0)) y)

simplify2.2s

Counts
163 → 163
Iterations
IterNodes
done5001
24206
1753
0268

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (pow (* (* y z) 3.0) 1)))
0.2b
(/ y (* z 3.0))
0.3b
(* (* y z) 3.0)
6.8b
(/ t (pow (* (* y z) 3.0) 1))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
33×add-sqr-sqrt
31×add-cube-cbrt
27×times-frac
26×add-exp-log
23×associate-+l+
21×prod-diff
16×add-cbrt-cube
9×pow1 add-log-exp
7×div-exp prod-exp
6×associate-/r* associate-/l*
5×fma-def div-inv
4×expm1-log1p-u unpow-prod-down cbrt-unprod log1p-expm1-u sqr-pow
3×cbrt-undiv associate-*r* pow-prod-down pow-exp
2×clear-num sum-log frac-2neg frac-add distribute-lft-out distribute-lft-out--
1×pow-to-exp +-commutative sub-neg flip3-+ flip3-- diff-log associate-*l* *-commutative associate-+l- flip-+ flip-- difference-of-squares
Counts
4 → 131
Calls
4 calls:
125.0ms
(+ (- x (/ y (* z 3.0))) (/ t (pow (* (* y z) 3.0) 1)))
6.0ms
(/ y (* z 3.0))
15.0ms
(* (* y z) 3.0)
20.0ms
(/ t (pow (* (* y z) 3.0) 1))

series273.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(+ (- x (/ y (* z 3.0))) (/ t (pow (* (* y z) 3.0) 1)))
41.0ms
(/ y (* z 3.0))
43.0ms
(* (* y z) 3.0)
59.0ms
(/ t (pow (* (* y z) 3.0) 1))

simplify1.9s

Counts
143 → 143
Iterations
IterNodes
done5001
23384
1587
0230

prune966.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ 0.3333333333333333 (/ z y))) (/ t (pow (* (* y z) 3.0) 1)))
0.3b
(* (* y z) 3.0)
0.7b
(/ 0.3333333333333333 (/ z y))
6.8b
(/ t (pow (* (* y z) 3.0) 1))

rewrite310.0ms

Algorithm
rewrite-expression-head
Rules
291×times-frac
216×add-sqr-sqrt
214×*-un-lft-identity
207×add-cube-cbrt
134×associate-+l+
132×prod-diff
26×add-exp-log
18×associate-/r* div-inv
16×add-cbrt-cube
9×pow1 add-log-exp
8×div-exp
7×fma-def
6×prod-exp associate-/l*
4×expm1-log1p-u cbrt-undiv unpow-prod-down associate-/r/ log1p-expm1-u sqr-pow
3×associate-*r* pow-prod-down pow-exp cbrt-unprod difference-of-squares
2×clear-num sum-log frac-2neg frac-add distribute-lft-out distribute-lft-out--
1×pow-to-exp +-commutative sub-neg flip3-+ flip3-- diff-log associate-*l* *-commutative associate-+l- flip-+ flip--
Counts
4 → 293
Calls
4 calls:
229.0ms
(+ (- x (/ 0.3333333333333333 (/ z y))) (/ t (pow (* (* y z) 3.0) 1)))
25.0ms
(* (* y z) 3.0)
12.0ms
(/ 0.3333333333333333 (/ z y))
9.0ms
(/ t (pow (* (* y z) 3.0) 1))

series280.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(+ (- x (/ 0.3333333333333333 (/ z y))) (/ t (pow (* (* y z) 3.0) 1)))
38.0ms
(* (* y z) 3.0)
43.0ms
(/ 0.3333333333333333 (/ z y))
43.0ms
(/ t (pow (* (* y z) 3.0) 1))

simplify655.0ms

Counts
305 → 305
Iterations
IterNodes
done5001
11338
0479

prune2.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes555.0ms

Accuracy

66.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.9b

bsearch2.0ms

simplify8.0ms

Iterations
IterNodes
done39
139
028

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.4s11017×body80valid