Details

Time bar (total: 2.8s)

sample31.0ms

Algorithm
intervals
Results
12.0ms320×body80valid

simplify6.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
12.0b
(/ (* x (+ y z)) z)

rewrite50.0ms

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:
32.0ms
(* x (+ y z))
16.0ms
(/ (* x (+ y z)) z)

series103.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (+ y z))
65.0ms
(/ (* x (+ y z)) z)

simplify103.0ms

Counts
52 → 52

prune132.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.0b
(/ x (/ z (+ y z)))

rewrite53.0ms

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:
18.0ms
(/ z (+ y z))
26.0ms
(/ x (/ z (+ y z)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ z (+ y z))
72.0ms
(/ x (/ z (+ y z)))

simplify41.0ms

Counts
129 → 129

prune305.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ y z))
0.2b
(* z (/ 1 (+ y z)))
3.0b
(/ x (* z (/ 1 (+ y z))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
31×add-exp-log
30×add-sqr-sqrt
29×times-frac
23×add-cube-cbrt
19×add-cbrt-cube
18×associate-*r*
11×div-exp
8×prod-exp
7×distribute-lft-out
6×pow1 cbrt-undiv associate-/r/ associate-/l*
5×associate-/r*
4×cbrt-unprod
3×rec-exp 1-exp associate-*l* div-inv add-log-exp unswap-sqr
2×frac-2neg flip3-+ associate-*r/ clear-num un-div-inv flip-+
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 105
Calls
3 calls:
13.0ms
(/ 1 (+ y z))
35.0ms
(* z (/ 1 (+ y z)))
19.0ms
(/ x (* z (/ 1 (+ y z))))

series148.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ 1 (+ y z))
58.0ms
(* z (/ 1 (+ y z)))
55.0ms
(/ x (* z (/ 1 (+ y z))))

simplify27.0ms

Counts
114 → 114

prune181.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
3.4b
(* x (/ (+ y z) z))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
21.0ms
(/ (+ y z) z)
29.0ms
(* x (/ (+ y z) z))

series62.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (+ y z) z)
43.0ms
(* x (/ (+ y z) z))

simplify46.0ms

Counts
74 → 74

prune120.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 3.1b

bsearch95.0ms

Steps
ItersRangePoint
9
3.933853753432697e-24
3.819815686374106e-19
9.073765212035872e-20
10
1.1020070098455542e-228
7.496821165963665e-218
1.277387360816594e-224

simplify45.0ms

end0.0ms

sample846.0ms

Algorithm
intervals
Results
368.0ms9583×body80valid