Details

Time bar (total: 38.7s)

sample67.0ms

Algorithm
intervals
Results
21.0ms279×body80valid

simplify423.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.2b
(* (/ (- x y) (- z y)) t)

rewrite184.0ms

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-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
55.0ms
(/ (- x y) (- z y))
119.0ms
(* (/ (- x y) (- z y)) t)

series396.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(/ (- x y) (- z y))
296.0ms
(* (/ (- x y) (- z y)) t)

simplify5.4s

Counts
112 → 112
Iterations
IterNodes
done5008
33879
21104
1381
0147

prune937.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 68
Calls
4 calls:
8.0ms
(cbrt (- z y))
8.0ms
(cbrt (- x y))
9.0ms
(cbrt (- x y))
16.0ms
(cbrt (- x y))

series1.4s

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt (- z y))
499.0ms
(cbrt (- x y))
360.0ms
(cbrt (- x y))
279.0ms
(cbrt (- x y))

simplify6.8s

Counts
80 → 80
Iterations
IterNodes
done5001
42995
31127
2500
1242
0118

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (- z y))
0.0b
(- (/ x (- z y)) (/ y (- z y)))
0.0b
(/ y (- z y))
2.2b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
743×*-un-lft-identity
725×add-sqr-sqrt
711×times-frac
441×prod-diff
417×add-cube-cbrt
161×distribute-lft-out--
149×difference-of-squares
98×associate-/r/
51×flip3-- flip--
49×div-inv
21×fma-neg
18×associate-*l*
10×add-exp-log associate-/r* add-cbrt-cube
6×pow1 distribute-rgt-out-- associate-/l* add-log-exp
4×expm1-log1p-u associate-*l/ log1p-expm1-u
3×associate-*r*
2×cbrt-undiv frac-2neg div-exp clear-num frac-sub sub-div
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 610
Calls
4 calls:
21.0ms
(/ x (- z y))
238.0ms
(- (/ x (- z y)) (/ y (- z y)))
23.0ms
(/ y (- z y))
784.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series661.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ x (- z y))
155.0ms
(- (/ x (- z y)) (/ y (- z y)))
75.0ms
(/ y (- z y))
370.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify4.9s

Counts
622 → 622
Iterations
IterNodes
done5000
23280
11337
0593

prune7.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
8.7b
(* (- x y) (/ t (- z y)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
21.0ms
(/ t (- z y))
92.0ms
(* (- x y) (/ t (- z y)))

series500.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(/ t (- z y))
406.0ms
(* (- x y) (/ t (- z y)))

simplify2.7s

Counts
93 → 93
Iterations
IterNodes
done5000
21213
1325
0134

prune711.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes823.0ms

Accuracy

27.4% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.2b

bsearch6.0ms

simplify14.0ms

Iterations
IterNodes
done23
123
018

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.4s8716×body80valid