Details

Time bar (total: 11.9s)

sample32.0ms

Algorithm
intervals
Results
12.0ms302×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3447
4737
51027
62407
76517
819267
done50007

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.9b
(/ (* x (- y z)) y)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
37.0ms
(* x (- y z))
32.0ms
(/ (* x (- y z)) y)

series150.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* x (- y z))
88.0ms
(/ (* x (- y z)) y)

simplify844.0ms

Counts
77 → 77
Iterations

Useful iterations: done (841.0ms)

IterNodesCost
01401001
1351820
21627674
done5002646

prune165.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.4b
(/ x (/ y (- y z)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
20.0ms
(/ y (- y z))
37.0ms
(/ x (/ y (- y z)))

series138.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ y (- y z))
85.0ms
(/ x (/ y (- y z)))

simplify1.3s

Counts
149 → 149
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02222078
15651961
227751871
done50011867

prune527.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

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

series1.2s

Counts
4 → 12
Calls
4 calls:
256.0ms
(cbrt x)
305.0ms
(cbrt y)
319.0ms
(cbrt y)
316.0ms
(cbrt y)

simplify1.3s

Counts
64 → 64
Iterations

Useful iterations: 3 (158.0ms)

IterNodesCost
046284
181268
2210244
3640232
41940232
done5000232

prune327.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (/ (/ y (- y z)) x))
2.4b
(/ (/ y (- y z)) x)

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
439×add-sqr-sqrt *-un-lft-identity
335×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
31×add-exp-log
27×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
17×flip3-- flip--
10×cbrt-undiv
4×pow1
3×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 441
Calls
3 calls:
13.0ms
(/ y (- y z))
60.0ms
(/ 1 (/ (/ y (- y z)) x))
40.0ms
(/ (/ y (- y z)) x)

series263.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(/ y (- y z))
86.0ms
(/ 1 (/ (/ y (- y z)) x))
99.0ms
(/ (/ y (- y z)) x)

simplify1.6s

Counts
450 → 450
Iterations

Useful iterations: done (1.6s)

IterNodesCost
05838515
116507406
done50017116

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes123.0ms

Accuracy

24.2% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.9b

bsearch130.0ms

Steps
ItersRangePoint
9
4.0403307989120256e+166
9.7743658136685e+173
2.6125485154435965e+170
7
-2.6379924648064006e+103
-5.4060873445015506e+101
-9.212480238144807e+101

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02379
12748
done2748

end0.0ms

sample892.0ms

Algorithm
intervals
Results
447.0ms9601×body80valid