Details

Time bar (total: 7.0s)

sample31.0ms

Algorithm
intervals
Results
12.0ms324×body80valid

simplify925.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.7b
(/ (* x (- y z)) y)

rewrite74.0ms

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:
30.0ms
(* x (- y z))
42.0ms
(/ (* x (- y z)) y)

series125.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* x (- y z))
70.0ms
(/ (* x (- y z)) y)

simplify410.0ms

Counts
55 → 55

prune94.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
3.5b
(/ x (/ y (- y z)))

rewrite36.0ms

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:
11.0ms
(/ y (- y z))
17.0ms
(/ x (/ y (- y z)))

series118.0ms

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

simplify695.0ms

Counts
145 → 145

prune762.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* y (/ 1 (- y z)))
3.5b
(/ x (* y (/ 1 (- y z))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
8×prod-exp
7×distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv associate-/r* associate-/r/ associate-/l*
4×cbrt-unprod
3×rec-exp 1-exp associate-*l* div-inv add-log-exp unswap-sqr
2×flip3-- frac-2neg associate-*r/ clear-num un-div-inv flip--
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 112
Calls
3 calls:
16.0ms
(/ 1 (- y z))
30.0ms
(* y (/ 1 (- y z)))
16.0ms
(/ x (* y (/ 1 (- y z))))

series169.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ 1 (- y z))
61.0ms
(* y (/ 1 (- y z)))
53.0ms
(/ x (* y (/ 1 (- y z))))

simplify509.0ms

Counts
121 → 121

prune225.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
3.9b
(* x (/ (- y z) y))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
19.0ms
(/ (- y z) y)
36.0ms
(* x (/ (- y z) y))

series110.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (- y z) y)
71.0ms
(* x (/ (- y z) y))

simplify576.0ms

Counts
82 → 82

prune149.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes136.0ms

Accuracy

-1037% (12.7b remaining)

Error of 12.7b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify881.0ms

end0.0ms

sample838.0ms

Algorithm
intervals
Results
347.0ms9627×body80valid