Details

Time bar (total: 15.1s)

sample23.0ms

Algorithm
intervals
Results
9.0ms288×body80valid

simplify130.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3447
4697
5937
61087
71107
done1107

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.0b
(/ (* x (- y z)) y)

rewrite66.0ms

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:
28.0ms
(* x (- y z))
35.0ms
(/ (* x (- y z)) y)

series99.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* x (- y z))
59.0ms
(/ (* x (- y z)) y)

simplify3.6s

Counts
77 → 77
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
01401001
1300814
2850666
34488624
done5000624

prune224.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
3.6b
(/ x (/ y (- y z)))

rewrite47.0ms

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:
13.0ms
(/ y (- y z))
27.0ms
(/ x (/ y (- y z)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ y (- y z))
70.0ms
(/ x (/ y (- y z)))

simplify1.5s

Counts
149 → 149
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02222078
14661939
216351867
done50001858

prune500.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(log1p (expm1 (/ y (- y z))))
0.0b
(/ y (- y z))
0.6b
(expm1 (/ y (- y z)))
3.6b
(/ x (log1p (expm1 (/ y (- y z)))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt *-un-lft-identity
24×times-frac
22×add-cube-cbrt
8×add-exp-log associate-/r* add-cbrt-cube
6×associate-/l*
5×log1p-expm1-u
4×pow1 expm1-log1p-u distribute-lft-out-- add-log-exp difference-of-squares
2×cbrt-undiv frac-2neg div-exp clear-num associate-/r/ div-inv
1×log1p-udef expm1-log1p flip3-- log1p-expm1 flip-- expm1-udef
Counts
4 → 90
Calls
4 calls:
0.0ms
(log1p (expm1 (/ y (- y z))))
11.0ms
(/ y (- y z))
0.0ms
(expm1 (/ y (- y z)))
7.0ms
(/ x (log1p (expm1 (/ y (- y z)))))

series567.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(log1p (expm1 (/ y (- y z))))
80.0ms
(/ y (- y z))
116.0ms
(expm1 (/ y (- y z)))
244.0ms
(/ x (log1p (expm1 (/ y (- y z)))))

simplify2.4s

Counts
102 → 102
Iterations

Useful iterations: 3 (428.0ms)

IterNodesCost
01371070
1240930
2506862
31283860
done5000860

prune317.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (/ (/ y (- y z)) x))
3.6b
(/ (/ y (- y z)) x)

rewrite159.0ms

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:
16.0ms
(/ y (- y z))
71.0ms
(/ 1 (/ (/ y (- y z)) x))
24.0ms
(/ (/ y (- y z)) x)

series320.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(/ y (- y z))
82.0ms
(/ 1 (/ (/ y (- y z)) x))
162.0ms
(/ (/ y (- y z)) x)

simplify2.6s

Counts
450 → 450
Iterations

Useful iterations: done (2.6s)

IterNodesCost
05838515
113447406
226866558
done50006456

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes132.0ms

Accuracy

47.1% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.4b

bsearch93.0ms

Steps
ItersRangePoint
8
8.666561730544872e-18
4.405667100367089e-14
2.7317275713955442e-15
5
-2.294626366488831e+97
-1.033466382081211e+97
-1.290655561206784e+97

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02131
12531
done2531

end0.0ms

sample989.0ms

Algorithm
intervals
Results
495.0ms9526×body80valid