Details

Time bar (total: 16.9s)

sample46.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
2149
done149

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
7.1b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
75×*-un-lft-identity
57×times-frac
49×add-cube-cbrt
39×prod-diff
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube div-inv associate-/l* add-log-exp
3×fma-neg
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+
Counts
2 → 111
Calls
2 calls:
20.0ms
(- 1.0 (/ y z))
56.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series111.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(- 1.0 (/ y z))
91.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify2.2s

Counts
117 → 117
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02202574
15222340
221511858
done50001542

prune372.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.8b
(/ 1 (- 1.0 (/ y z)))
6.3b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
79×*-un-lft-identity
73×times-frac
60×add-cube-cbrt
39×prod-diff
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×div-inv add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×expm1-log1p-u flip3-- fma-neg flip-- log1p-expm1-u associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
3 → 160
Calls
3 calls:
27.0ms
(- 1.0 (/ y z))
26.0ms
(/ 1 (- 1.0 (/ y z)))
129.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series155.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(- 1.0 (/ y z))
67.0ms
(/ 1 (- 1.0 (/ y z)))
66.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify5.1s

Counts
169 → 169
Iterations

Useful iterations: 2 (1.0s)

IterNodesCost
02703123
16862745
243422132
done50002132

prune678.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (/ 1 (- 1.0 (/ y z))))
0.0b
(expm1 (log1p (/ 1 (- 1.0 (/ y z)))))
0.8b
(/ 1 (- 1.0 (/ y z)))
6.3b
(* (+ x y) (expm1 (log1p (/ 1 (- 1.0 (/ y z))))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
27×*-un-lft-identity
22×times-frac
17×add-cube-cbrt
10×add-exp-log
8×add-cbrt-cube difference-of-squares
7×pow1
6×associate-/r*
5×expm1-log1p-u
4×associate-*l* log1p-expm1-u distribute-lft-out-- add-log-exp
3×associate-*r* associate-/l*
2×div-exp associate-*l/ associate-/r/
1×cbrt-undiv rec-exp log1p-udef expm1-log1p flip3-- pow-flip frac-2neg flip3-+ 1-exp log1p-expm1 pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod flip-+ div-inv distribute-lft-out inv-pow expm1-udef unswap-sqr
Counts
4 → 92
Calls
4 calls:
0.0ms
(log1p (/ 1 (- 1.0 (/ y z))))
0.0ms
(expm1 (log1p (/ 1 (- 1.0 (/ y z)))))
41.0ms
(/ 1 (- 1.0 (/ y z)))
28.0ms
(* (+ x y) (expm1 (log1p (/ 1 (- 1.0 (/ y z))))))

series475.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(log1p (/ 1 (- 1.0 (/ y z))))
111.0ms
(expm1 (log1p (/ 1 (- 1.0 (/ y z)))))
81.0ms
(/ 1 (- 1.0 (/ y z)))
141.0ms
(* (+ x y) (expm1 (log1p (/ 1 (- 1.0 (/ y z))))))

simplify765.0ms

Counts
104 → 104
Iterations

Useful iterations: done (762.0ms)

IterNodesCost
01401259
12921093
21171967
done5001957

prune530.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.2b

localize43.0ms

Local error

Found 4 expressions with local error:

2.3b
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
7.4b
(cbrt (- 1.0 (/ y z)))
7.4b
(cbrt (- 1.0 (/ y z)))
7.4b
(cbrt (- 1.0 (/ y z)))

rewrite142.0ms

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:
83.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
18.0ms
(cbrt (- 1.0 (/ y z)))
17.0ms
(cbrt (- 1.0 (/ y z)))
18.0ms
(cbrt (- 1.0 (/ y z)))

series1.6s

Counts
4 → 12
Calls
4 calls:
385.0ms
(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
413.0ms
(cbrt (- 1.0 (/ y z)))
371.0ms
(cbrt (- 1.0 (/ y z)))
421.0ms
(cbrt (- 1.0 (/ y z)))

simplify1.9s

Counts
101 → 101
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01501613
13501520
28941397
332411365
done50001348

prune659.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.2b

regimes396.0ms

Accuracy

57.4% (0.9b remaining)

Error of 6.3b against oracle of 5.4b and baseline of 7.5b

bsearch3.0ms

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02469
13061
done3061

end0.0ms

sample1.2s

Algorithm
intervals
Results
382.0ms7998×body80valid
0.0ms2×body1280valid