Details

Time bar (total: 11.8s)

sample38.0ms

Algorithm
intervals
Results
17.0ms358×body80valid

simplify944.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.1b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×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:
69.0ms
(* (* z z) (+ z 1.0))
44.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series161.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* (* z z) (+ z 1.0))
82.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify923.0ms

Counts
57 → 57

prune108.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
4.3b
(* (/ x (* z z)) (/ y (+ z 1.0)))
6.8b
(/ x (* z z))

rewrite74.0ms

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
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
13.0ms
(/ y (+ z 1.0))
45.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
12.0ms
(/ x (* z z))

series118.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ y (+ z 1.0))
56.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
25.0ms
(/ x (* z z))

simplify879.0ms

Counts
116 → 116

prune272.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
17.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series984.0ms

Counts
4 → 12
Calls
4 calls:
249.0ms
(* (cbrt x) (cbrt x))
260.0ms
(cbrt x)
224.0ms
(cbrt x)
250.0ms
(cbrt x)

simplify924.0ms

Counts
85 → 85

prune312.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
81×cbrt-prod
40×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l* unswap-sqr
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 96
Calls
4 calls:
30.0ms
(* (cbrt (cbrt x)) (cbrt (cbrt x)))
1.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))

series1.6s

Counts
4 → 12
Calls
4 calls:
448.0ms
(* (cbrt (cbrt x)) (cbrt (cbrt x)))
354.0ms
(cbrt (cbrt x))
367.0ms
(cbrt (cbrt x))
385.0ms
(cbrt (cbrt x))

simplify915.0ms

Counts
108 → 108

prune416.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes277.0ms

Accuracy

-321.9% (5.0b remaining)

Error of 5.1b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify1.5s

end0.0ms

sample1.1s

Algorithm
intervals
Results
639.0ms10698×body80valid