Details

Time bar (total: 43.6s)

sample34.0ms

Algorithm
intervals
Results
14.0ms281×body80valid

simplify721.0ms

Counts
1 → 1
Iterations
IterNodes
done169
10169
9166
8162
7146
6120
598
472
347
225
117
08

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize55.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.7b
(* (/ (- x y) (- z y)) t)

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*l/ *-commutative
Counts
2 → 108
Calls
2 calls:
78.0ms
(/ (- x y) (- z y))
133.0ms
(* (/ (- x y) (- z y)) t)

series271.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(/ (- x y) (- z y))
180.0ms
(* (/ (- x y) (- z y)) t)

simplify7.4s

Counts
114 → 114
Iterations
IterNodes
done5023
33935
21106
1383
0149

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.2b
(/ 1 (/ (- z y) (- x y)))
1.7b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite491.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×expm1-log1p-u associate-*r* cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-/l/
1×div-sub pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
3 → 335
Calls
3 calls:
78.0ms
(/ (- z y) (- x y))
52.0ms
(/ 1 (/ (- z y) (- x y)))
278.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series651.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(/ (- z y) (- x y))
216.0ms
(/ 1 (/ (- z y) (- x y)))
342.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify5.4s

Counts
344 → 344
Iterations
IterNodes
done5003
22916
11027
0359

prune3.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
1.7b
(/ t (/ (- z y) (- x y)))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
8×associate-/l*
6×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×div-sub
Counts
2 → 200
Calls
2 calls:
86.0ms
(/ (- z y) (- x y))
77.0ms
(/ t (/ (- z y) (- x y)))

series384.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(/ (- z y) (- x y))
292.0ms
(/ t (/ (- z y) (- x y)))

simplify5.1s

Counts
206 → 206
Iterations
IterNodes
done5002
22757
1739
0276

prune2.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize236.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
1.7b
(/ t (* (* (/ (cbrt (- z y)) (cbrt (- x y))) (/ (cbrt (- z y)) (cbrt (- x y)))) (/ (cbrt (- z y)) (cbrt (- x y)))))

rewrite511.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
31×add-cbrt-cube
24×cbrt-undiv div-exp
18×prod-exp cbrt-unprod
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt
7×associate-/r/
6×cbrt-div
5×frac-times associate-*l/
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×times-frac flip3-- pow1/3 associate-*r/ flip-- associate-/l* distribute-lft-out-- difference-of-squares
1×clear-num associate-/r* frac-2neg div-inv
Counts
4 → 103
Calls
4 calls:
20.0ms
(cbrt (- x y))
19.0ms
(cbrt (- x y))
19.0ms
(cbrt (- x y))
437.0ms
(/ t (* (* (/ (cbrt (- z y)) (cbrt (- x y))) (/ (cbrt (- z y)) (cbrt (- x y)))) (/ (cbrt (- z y)) (cbrt (- x y)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
304.0ms
(cbrt (- x y))
292.0ms
(cbrt (- x y))
295.0ms
(cbrt (- x y))
246.0ms
(/ t (* (* (/ (cbrt (- z y)) (cbrt (- x y))) (/ (cbrt (- z y)) (cbrt (- x y)))) (/ (cbrt (- z y)) (cbrt (- x y)))))

simplify9.1s

Counts
115 → 115
Iterations
IterNodes
done5000
34430
21343
1462
0186

prune1.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes1.4s

Accuracy

47.4% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.2b

bsearch2.0ms

simplify8.0ms

Iterations
IterNodes
done21
121
017

end0.0ms

sample1.3s

Algorithm
intervals
Results
742.0ms8721×body80valid