Details

Time bar (total: 7.6s)

sample20.0ms

Algorithm
intervals
Results
8.0ms308×body80valid

simplify635.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
11.4b
(/ (* x (+ y z)) z)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r/ associate-*r*
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
46.0ms
(* x (+ y z))
25.0ms
(/ (* x (+ y z)) z)

series80.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* x (+ y z))
51.0ms
(/ (* x (+ y z)) z)

simplify557.0ms

Counts
52 → 52

prune154.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.1b
(/ x (/ z (+ y z)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 123
Calls
2 calls:
29.0ms
(/ z (+ y z))
32.0ms
(/ x (/ z (+ y z)))

series142.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ z (+ y z))
63.0ms
(/ x (/ z (+ y z)))

simplify795.0ms

Counts
129 → 129

prune311.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
7.6b
(/ (* x y) z)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv div-exp
1×+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 33
Calls
2 calls:
36.0ms
(+ (/ (* x y) z) x)
20.0ms
(/ (* x y) z)

series75.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ (/ (* x y) z) x)
27.0ms
(/ (* x y) z)

simplify1.4s

Counts
39 → 39

prune96.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 1 expressions with local error:

11.1b
(* (/ x z) (+ y z))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
4×associate-*r*
3×pow1
2×frac-times flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out add-log-exp
Counts
1 → 39
Calls
1 calls:
47.0ms
(* (/ x z) (+ y z))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(* (/ x z) (+ y z))

simplify556.0ms

Counts
42 → 42

prune90.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (3.1b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 3.2b

bsearch74.0ms

Steps
ItersRangePoint
7
2.2542686958119885e-135
5.428598952016307e-133
6.538483641819976e-134
6
-1.0850525207692737e-234
-1.7946587150619438e-235
-1.072355443395786e-234

simplify1.2s

end0.0ms

sample935.0ms

Algorithm
intervals
Results
444.0ms9530×body80valid