Details

Time bar (total: 36.2s)

sample50.0ms

Algorithm
intervals
Results
24.0ms400×body80valid

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
done5000
74383
61002
5377
4203
3110
259
123
011

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
39×add-sqr-sqrt
32×add-cube-cbrt
25×times-frac
18×prod-diff
16×associate-*l*
11×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube add-exp-log
7×distribute-lft-out
5×associate-*r*
4×pow1 associate-/l*
3×associate-/r*
2×expm1-log1p-u frac-times cbrt-undiv sub-neg flip3-- div-exp prod-exp associate-*r/ cbrt-unprod log1p-expm1-u div-inv flip-- add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-+ pow-prod-down associate-*l/ *-commutative flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 100
Calls
2 calls:
31.0ms
(/ (+ z x) y)
63.0ms
(* (/ (+ z x) y) (- x z))

series116.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (+ z x) y)
72.0ms
(* (/ (+ z x) y) (- x z))

simplify2.1s

Counts
106 → 106
Iterations
IterNodes
done5000
23140
1516
0180

prune459.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (/ y x)) (/ z (/ y z)))
0.1b
(/ x (/ y x))
0.2b
(/ z (/ y z))

rewrite565.0ms

Algorithm
rewrite-expression-head
Rules
6058×times-frac
3240×add-sqr-sqrt
3224×*-un-lft-identity
3204×add-cube-cbrt
1936×prod-diff
368×div-inv
91×associate-/r/
44×fma-neg
26×associate-/r*
13×add-cbrt-cube add-exp-log
9×difference-of-squares
6×cbrt-undiv div-exp associate-/l* distribute-lft-out--
5×add-log-exp
3×expm1-log1p-u pow1 log1p-expm1-u
2×clear-num frac-2neg
1×sub-neg flip3-- diff-log frac-sub flip--
Counts
3 → 2154
Calls
3 calls:
181.0ms
(- (/ x (/ y x)) (/ z (/ y z)))
7.0ms
(/ x (/ y x))
7.0ms
(/ z (/ y z))

series148.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(- (/ x (/ y x)) (/ z (/ y z)))
32.0ms
(/ x (/ y x))
33.0ms
(/ z (/ y z))

simplify1.3s

Counts
2163 → 2163
Iterations
IterNodes
done5001
02429

prune18.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ z (sqrt (/ y z)))
0.1b
(/ x (/ y x))
5.9b
(sqrt (/ y z))
5.9b
(sqrt (/ y z))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
179×times-frac
115×add-sqr-sqrt
109×*-un-lft-identity add-cube-cbrt
78×sqrt-prod
29×associate-/r*
12×div-inv
11×add-cbrt-cube add-exp-log
6×pow1 associate-/l*
4×expm1-log1p-u cbrt-undiv rem-sqrt-square div-exp log1p-expm1-u add-log-exp
3×sqrt-div
2×clear-num frac-2neg sqrt-pow1 pow1/2 associate-/r/
Counts
4 → 208
Calls
4 calls:
9.0ms
(/ z (sqrt (/ y z)))
8.0ms
(/ x (/ y x))
4.0ms
(sqrt (/ y z))
4.0ms
(sqrt (/ y z))

series285.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(/ z (sqrt (/ y z)))
40.0ms
(/ x (/ y x))
54.0ms
(sqrt (/ y z))
88.0ms
(sqrt (/ y z))

simplify1.6s

Counts
220 → 220
Iterations
IterNodes
done5001
23556
1709
0345

prune1.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ x z) (- (pow x 3) (pow z 3)))
0.2b
(- (pow x 3) (pow z 3))
2.8b
(* (fma z (+ x z) (* x x)) y)
35.2b
(/ (* (+ x z) (- (pow x 3) (pow z 3))) (* (fma z (+ x z) (* x x)) y))

rewrite376.0ms

Algorithm
rewrite-expression-head
Rules
432×prod-diff
279×add-sqr-sqrt
249×*-un-lft-identity
243×unpow-prod-down cube-prod
227×add-cube-cbrt
146×distribute-rgt-in distribute-lft-in
89×sqr-pow
73×cube-mult unpow3
32×difference-of-squares
28×associate-*r*
20×add-cbrt-cube add-exp-log
12×fma-neg
10×distribute-lft-out--
8×frac-times pow1 associate-/l/
7×flip3-- associate-*l* flip--
6×flip3-+ prod-exp cbrt-unprod flip-+ add-log-exp
4×expm1-log1p-u cbrt-undiv div-exp associate-*l/ associate-*r/ log1p-expm1-u
3×sub-neg
2×difference-cubes pow-prod-down *-commutative unswap-sqr
1×clear-num associate-/r* frac-2neg times-frac diff-log div-inv distribute-lft-out associate-/l*
Counts
4 → 586
Calls
4 calls:
166.0ms
(* (+ x z) (- (pow x 3) (pow z 3)))
47.0ms
(- (pow x 3) (pow z 3))
11.0ms
(* (fma z (+ x z) (* x x)) y)
117.0ms
(/ (* (+ x z) (- (pow x 3) (pow z 3))) (* (fma z (+ x z) (* x x)) y))

series469.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* (+ x z) (- (pow x 3) (pow z 3)))
86.0ms
(- (pow x 3) (pow z 3))
79.0ms
(* (fma z (+ x z) (* x x)) y)
232.0ms
(/ (* (+ x z) (- (pow x 3) (pow z 3))) (* (fma z (+ x z) (* x x)) y))

simplify1.3s

Counts
598 → 598
Iterations
IterNodes
done5001
11869
0512

prune1.5s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes222.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.7s13547×body80valid