Details

Time bar (total: 11.1s)

sample41.0ms

Algorithm
intervals
Results
18.0ms339×body80valid

simplify983.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.4b

localize27.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
16.0b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
pow1
cbrt-undiv div-exp
*-un-lft-identity
add-sqr-sqrt associate-*r/ associate-*r*
add-cube-cbrt pow-prod-down
flip3-+ associate-/r/ flip-+ add-log-exp
distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
36.0ms
(* (* z z) (+ z 1.0))
47.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* (* z z) (+ z 1.0))
95.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify883.0ms

Counts
57 → 57

prune112.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 8.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.3b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.2b
(/ x (* z z))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
prod-exp cbrt-unprod
associate-*l* distribute-lft-out
associate-/l*
pow1 associate-/r*
associate-/r/ div-inv unswap-sqr
add-log-exp
frac-2neg flip3-+ clear-num flip-+
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
18.0ms
(/ y (+ z 1.0))
85.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
13.0ms
(/ x (* z z))

series182.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ y (+ z 1.0))
86.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
41.0ms
(/ x (* z z))

simplify932.0ms

Counts
116 → 116

prune379.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
13.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.4s

Counts
4 → 12
Calls
4 calls:
283.0ms
(* (cbrt x) (cbrt x))
293.0ms
(cbrt x)
292.0ms
(cbrt x)
518.0ms
(cbrt x)

simplify901.0ms

Counts
85 → 85

prune296.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.8b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
1.7b
(* (/ x z) (/ y (+ z 1.0)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
distribute-lft-out
frac-times associate-*r/
rec-exp 1-exp
pow-prod-down associate-*l/ associate-/r* associate-/r/ div-inv unswap-sqr
associate-/l* add-log-exp
flip3-+ *-commutative flip-+
frac-2neg clear-num
Counts
3 → 149
Calls
3 calls:
19.0ms
(/ y (+ z 1.0))
71.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
45.0ms
(* (/ x z) (/ y (+ z 1.0)))

series154.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ y (+ z 1.0))
52.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
62.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify1.5s

Counts
158 → 158

prune288.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

1.2% (2.5b remaining)

Error of 2.7b against oracle of 0.2b and baseline of 2.7b

bsearch0.0ms

simplify1.1s

end0.0ms

sample1.2s

Algorithm
intervals
Results
694.0ms10770×body80valid