Details

Time bar (total: 11.3s)

sample43.0ms

Algorithm
intervals
Results
21.0ms324×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
01011
12011
24711
313810
436910
5135310
done500010

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv associate-*r/ div-exp associate-/l/
1×pow1 expm1-log1p-u flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
109.0ms
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

series71.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

simplify733.0ms

Counts
28 → 28
Iterations

Useful iterations: done (732.0ms)

IterNodesCost
070430
1201415
2930342
done5000315

prune94.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 4.0 (/ (- x y) z))
0.0b
(/ (- x y) z)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
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×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 80
Calls
2 calls:
27.0ms
(* 4.0 (/ (- x y) z))
23.0ms
(/ (- x y) z)

series84.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* 4.0 (/ (- x y) z))
34.0ms
(/ (- x y) z)

simplify836.0ms

Counts
86 → 86
Iterations

Useful iterations: 2 (240.0ms)

IterNodesCost
0118859
1301806
21292740
done5001740

prune364.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x z) (/ y z))
0.0b
(* 4.0 (- (/ x z) (/ y z)))

rewrite309.0ms

Algorithm
rewrite-expression-head
Rules
731×times-frac
587×add-sqr-sqrt
577×*-un-lft-identity
561×add-cube-cbrt
507×prod-diff
171×distribute-rgt-in distribute-lft-in
83×div-inv
13×fma-neg
12×associate-*r*
8×distribute-lft-out-- difference-of-squares
4×pow1 add-exp-log associate-*r/ add-cbrt-cube add-log-exp
3×sub-neg associate-*l*
2×expm1-log1p-u flip3-- distribute-rgt-out-- frac-sub flip-- log1p-expm1-u sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 582
Calls
2 calls:
53.0ms
(- (/ x z) (/ y z))
171.0ms
(* 4.0 (- (/ x z) (/ y z)))

series98.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- (/ x z) (/ y z))
65.0ms
(* 4.0 (- (/ x z) (/ y z)))

simplify1.3s

Counts
588 → 588
Iterations

Useful iterations: done (1.2s)

IterNodesCost
071624713
1156721806
done500017209

prune2.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (+ x y))
0.0b
(* 4.0 (/ (- (* x x) (* y y)) (* z (+ x y))))
2.1b
(- (* x x) (* y y))
27.4b
(/ (- (* x x) (* y y)) (* z (+ x y)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
14×associate-*r*
13×*-un-lft-identity
11×add-cube-cbrt
8×pow1 times-frac
7×associate-*r/
6×associate-*l* prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv expm1-log1p-u div-exp associate-/r/ log1p-expm1-u associate-/l* difference-of-squares
3×flip3-+ flip-+
2×flip3-- pow-prod-down *-commutative flip-- div-inv associate-/l/ unswap-sqr
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in fma-neg diff-log div-sub prod-diff clear-num associate-/r* distribute-lft-out
Counts
4 → 104
Calls
4 calls:
20.0ms
(* z (+ x y))
50.0ms
(* 4.0 (/ (- (* x x) (* y y)) (* z (+ x y))))
9.0ms
(- (* x x) (* y y))
32.0ms
(/ (- (* x x) (* y y)) (* z (+ x y)))

series216.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* z (+ x y))
84.0ms
(* 4.0 (/ (- (* x x) (* y y)) (* z (+ x y))))
33.0ms
(- (* x x) (* y y))
63.0ms
(/ (- (* x x) (* y y)) (* z (+ x y)))

simplify1.7s

Counts
116 → 116
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01561655
14881617
228931376
done50011366

prune454.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11111
done1111

end0.0ms

sample1.1s

Algorithm
intervals
Results
541.0ms10132×body80valid