Details

Time bar (total: 14.5s)

sample29.0ms

Algorithm
intervals
Results
14.0ms358×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5000
81978
7763
6513
5402
4272
3166
276
127
09

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* z z) (+ z 1.0))
15.1b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
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×pow-prod-down add-cube-cbrt
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
24.0ms
(* (* z z) (+ z 1.0))
43.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series165.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* (* z z) (+ z 1.0))
105.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify2.4s

Counts
57 → 57
Iterations
IterNodes
done5000
23520
1389
0112

prune223.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.5b
(* (/ x (* z z)) (/ y (+ z 1.0)))
10.7b
(/ x (* z z))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-cbrt-cube add-exp-log
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×clear-num frac-2neg flip3-+ flip-+
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 107
Calls
3 calls:
8.0ms
(/ y (+ z 1.0))
39.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
6.0ms
(/ x (* z z))

series132.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ y (+ z 1.0))
58.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
32.0ms
(/ x (* z z))

simplify2.0s

Counts
116 → 116
Iterations
IterNodes
done5001
23892
1553
0180

prune485.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(* (cbrt x) (cbrt x))

series1.0s

Counts
4 → 12
Calls
4 calls:
259.0ms
(cbrt x)
233.0ms
(cbrt x)
258.0ms
(cbrt x)
254.0ms
(* (cbrt x) (cbrt x))

simplify1.1s

Counts
85 → 85
Iterations
IterNodes
done5001
2723
1138
061

prune437.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize102.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 46
Calls
4 calls:
2.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (cbrt x))
7.0ms
(cbrt (* (cbrt x) (cbrt x)))
7.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.3s

Counts
4 → 12
Calls
4 calls:
305.0ms
(cbrt (cbrt x))
266.0ms
(cbrt (cbrt x))
364.0ms
(cbrt (* (cbrt x) (cbrt x)))
400.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify1.2s

Counts
58 → 58
Iterations
IterNodes
done5000
42461
3699
2225
190
050

prune433.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes500.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample970.0ms

Algorithm
intervals
Results
640.0ms10771×body80valid