Details

Time bar (total: 10.2s)

sample23.0ms

Algorithm
intervals
Results
14.0ms288×body80valid

simplify40.0ms

Counts
1 → 1
Iterations
IterNodes
done51
851
750
646
542
435
331
220
116
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
9.1b
(/ (* x (+ y z)) z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r* associate-*r/
3×associate-/r* times-frac associate-*l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ insert-posit16 add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 48
Calls
2 calls:
13.0ms
(* x (+ y z))
13.0ms
(/ (* x (+ y z)) z)

series70.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* x (+ y z))
42.0ms
(/ (* x (+ y z)) z)

simplify2.2s

Counts
54 → 54
Iterations
IterNodes
done5004
33864
2822
1242
088

prune203.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.6b
(/ x (/ z (+ y z)))

rewrite28.0ms

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-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
Counts
2 → 125
Calls
2 calls:
10.0ms
(/ z (+ y z))
16.0ms
(/ x (/ z (+ y z)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ z (+ y z))
60.0ms
(/ x (/ z (+ y z)))

simplify1.1s

Counts
131 → 131
Iterations
IterNodes
done5001
21719
1479
0189

prune393.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ z y) z)
3.2b
(* x (/ (+ z y) z))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-cbrt-cube add-exp-log
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-/r* associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-+ pow-prod-down associate-*r/ *-commutative flip-+
Counts
2 → 70
Calls
2 calls:
16.0ms
(/ (+ z y) z)
27.0ms
(* x (/ (+ z y) z))

series95.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (+ z y) z)
66.0ms
(* x (/ (+ z y) z))

simplify2.0s

Counts
76 → 76
Iterations
IterNodes
done5064
33875
2807
1244
099

prune238.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
11.9b
(* (/ (* (cbrt x) (cbrt x)) z) (* (cbrt x) (+ y z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
18×add-cbrt-cube
11×prod-exp cbrt-unprod
9×cbrt-prod add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
7×associate-*l*
6×associate-*r/
4×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp insert-posit16 add-log-exp
3×times-frac pow1/3 pow-prod-down
2×frac-times flip3-+ flip-+
1×associate-*r* associate-*l/ *-commutative div-inv
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
45.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (cbrt x) (+ y z)))

series891.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(cbrt x)
275.0ms
(cbrt x)
286.0ms
(cbrt x)
96.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (cbrt x) (+ y z)))

simplify1.3s

Counts
88 → 88
Iterations
IterNodes
done5004
21810
1400
0123

prune274.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes193.0ms

Accuracy

90.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify4.0ms

Iterations
IterNodes
done26
126
023

end0.0ms

sample852.0ms

Algorithm
intervals
Results
587.0ms9518×body80valid