Details

Time bar (total: 3.2s)

sample20.0ms

Algorithm
intervals
Results
8.0ms313×body80valid

simplify38.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
12.2b
(/ (* x (+ y z)) z)

rewrite36.0ms

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:
21.0ms
(* x (+ y z))
14.0ms
(/ (* x (+ y z)) z)

series70.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* x (+ y z))
42.0ms
(/ (* x (+ y z)) z)

simplify32.0ms

Counts
52 → 52

prune119.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
4.0b
(/ x (/ z (+ y z)))

rewrite34.0ms

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:
11.0ms
(/ z (+ y z))
16.0ms
(/ x (/ z (+ y z)))

series98.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ z (+ y z))
55.0ms
(/ x (/ z (+ y z)))

simplify46.0ms

Counts
129 → 129

prune251.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ y z))
0.5b
(cbrt (+ y z))
0.5b
(cbrt (+ y z))
0.6b
(* (cbrt (+ y z)) (cbrt (+ y z)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
4.0ms
(cbrt (+ y z))
4.0ms
(cbrt (+ y z))
4.0ms
(cbrt (+ y z))
42.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))

series614.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (+ y z))
151.0ms
(cbrt (+ y z))
140.0ms
(cbrt (+ y z))
184.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))

simplify138.0ms

Counts
107 → 107

prune310.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
4.2b
(* x (/ (+ y z) z))

rewrite47.0ms

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

series65.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (+ y z) z)
46.0ms
(* x (/ (+ y z) z))

simplify83.0ms

Counts
74 → 74

prune127.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample923.0ms

Algorithm
intervals
Results
572.0ms9595×body80valid