Details

Time bar (total: 20.8s)

sample29.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
2149
done149

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize14.0ms

Local error

Found 1 expressions with local error:

7.6b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
60.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series77.0ms

Counts
1 → 3
Calls
1 calls:
77.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify2.2s

Counts
55 → 55
Iterations

Useful iterations: 3 (605.0ms)

IterNodesCost
097855
1214831
2688797
33092795
done5001795

prune284.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.6b

localize18.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- 1.0 (/ y z)))
7.2b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 101
Calls
2 calls:
37.0ms
(/ 1 (- 1.0 (/ y z)))
111.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series144.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ 1 (- 1.0 (/ y z)))
76.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify7.3s

Counts
107 → 107
Iterations

Useful iterations: 2 (683.0ms)

IterNodesCost
01471404
13771242
231071087
done50011087

prune494.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.6b

localize18.0ms

Local error

Found 1 expressions with local error:

7.6b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
57.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series87.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify2.7s

Counts
55 → 55
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
097855
1214831
2688797
33092795
done5001795

prune339.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.6b

localize31.0ms

Local error

Found 4 expressions with local error:

3.3b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
7.9b
(cbrt (- 1.0 (/ y z)))
7.9b
(cbrt (- 1.0 (/ y z)))
7.9b
(cbrt (- 1.0 (/ y z)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod cbrt-div
9×add-exp-log add-cube-cbrt flip3-- flip--
8×associate-/r/
7×times-frac add-cbrt-cube
6×difference-of-squares
4×pow1 expm1-log1p-u frac-times log1p-expm1-u associate-/l* add-log-exp
3×pow1/3 distribute-lft-out--
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/ distribute-lft-out
1×frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
4 → 89
Calls
4 calls:
77.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
15.0ms
(cbrt (- 1.0 (/ y z)))
16.0ms
(cbrt (- 1.0 (/ y z)))
17.0ms
(cbrt (- 1.0 (/ y z)))

series1.8s

Counts
4 → 12
Calls
4 calls:
384.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
470.0ms
(cbrt (- 1.0 (/ y z)))
481.0ms
(cbrt (- 1.0 (/ y z)))
480.0ms
(cbrt (- 1.0 (/ y z)))

simplify2.3s

Counts
101 → 101
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01501613
13501520
28941397
332411365
done50001348

prune844.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 5.6b

regimes566.0ms

Accuracy

71.5% (0.5b remaining)

Error of 6.4b against oracle of 5.9b and baseline of 7.7b

bsearch3.0ms

simplify10.0ms

Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
02569
13357
done3357

end0.0ms

sample1.1s

Algorithm
intervals
Results
503.0ms8000×body80valid