Details

Time bar (total: 17.1s)

sample27.0ms

Algorithm
intervals
Results
12.0ms367×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5000
81998
7830
6571
5421
4285
3178
278
127
09

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* z z) (+ z 1.0))
15.9b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite65.0ms

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×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u 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 → 55
Calls
2 calls:
32.0ms
(* (* z z) (+ z 1.0))
30.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series178.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* (* z z) (+ z 1.0))
99.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify2.4s

Counts
61 → 61
Iterations
IterNodes
done5000
23636
1400
0116

prune226.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.4b

localize13.0ms

Local error

Found 2 expressions with local error:

7.0b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.8b
(/ x (* z z))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
24×add-sqr-sqrt
22×times-frac
20×*-un-lft-identity
18×associate-*r*
14×add-cube-cbrt
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
4×pow1 unswap-sqr
3×div-inv distribute-lft-out associate-/l*
2×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×frac-times clear-num associate-/r* frac-2neg flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+
Counts
2 → 78
Calls
2 calls:
38.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
6.0ms
(/ x (* z z))

series96.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
30.0ms
(/ x (* z z))

simplify2.2s

Counts
84 → 84
Iterations
IterNodes
done5002
23686
1494
0154

prune419.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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)

rewrite21.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
14.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
298.0ms
(* (cbrt x) (cbrt x))
232.0ms
(cbrt x)
256.0ms
(cbrt x)
283.0ms
(cbrt x)

simplify1.3s

Counts
93 → 93
Iterations
IterNodes
done5001
2725
1142
065

prune543.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
237.0ms
(cbrt x)
265.0ms
(cbrt x)
295.0ms
(cbrt x)
243.0ms
(cbrt x)

simplify2.9s

Counts
64 → 64
Iterations
IterNodes
done5000
54918
4936
3322
2113
146
026

prune442.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

regimes871.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.1s

Algorithm
intervals
Results
838.0ms10824×body80valid