Details

Time bar (total: 8.5s)

sample28.0ms

Algorithm
intervals
Results
11.0ms288×body80valid

simplify1.0s

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod 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 → 49
Calls
2 calls:
20.0ms
(* x (- y z))
16.0ms
(/ (* x (- y z)) y)

series92.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* x (- y z))
52.0ms
(/ (* x (- y z)) y)

simplify527.0ms

Counts
55 → 55

prune92.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
14.0ms
(/ y (- y z))
24.0ms
(/ x (/ y (- y z)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ y (- y z))
53.0ms
(/ x (/ y (- y z)))

simplify730.0ms

Counts
145 → 145

prune359.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

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)

rewrite151.0ms

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×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 435
Calls
3 calls:
12.0ms
(/ y (- y z))
45.0ms
(/ 1 (/ (/ y (- y z)) x))
37.0ms
(/ (/ y (- y z)) x)

series462.0ms

Counts
3 → 9
Calls
3 calls:
308.0ms
(/ y (- y z))
50.0ms
(/ 1 (/ (/ y (- y z)) x))
103.0ms
(/ (/ y (- y z)) x)

simplify707.0ms

Counts
444 → 444

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
50×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
26×associate-/r*
21×add-exp-log
16×add-cbrt-cube
10×div-exp distribute-lft-out-- difference-of-squares
7×cbrt-undiv associate-/r/
4×prod-exp div-inv associate-/l*
3×flip3-- flip--
2×pow1 frac-2neg 1-exp clear-num cbrt-unprod add-log-exp
Counts
2 → 101
Calls
2 calls:
17.0ms
(/ y (- y z))
28.0ms
(/ (* 1 x) (/ y (- y z)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(/ y (- y z))
58.0ms
(/ (* 1 x) (/ y (- y z)))

simplify760.0ms

Counts
107 → 107

prune215.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes122.0ms

Accuracy

-266.9% (12.3b remaining)

Error of 12.4b against oracle of 0.0b and baseline of 3.4b

bsearch68.0ms

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

simplify683.0ms

end0.0ms

sample853.0ms

Algorithm
intervals
Results
381.0ms9526×body80valid