Details

Time bar (total: 6.1s)

sample46.0ms

Algorithm
intervals
Results
19.0ms343×body80valid

simplify10.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
6.5b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite341.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
79.0ms
(- (/ y z) (/ t (- 1.0 z)))
24.0ms
(/ t (- 1.0 z))
232.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series197.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- (/ y z) (/ t (- 1.0 z)))
48.0ms
(/ t (- 1.0 z))
88.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify96.0ms

Counts
98 → 98

prune280.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b
(* t (/ 1 (- 1.0 z)))
6.5b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
26×add-cube-cbrt
24×associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* add-log-exp
5×prod-exp associate-/r*
4×flip3-- div-exp associate-/r/ frac-sub flip-- unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv distribute-rgt-in rec-exp distribute-lft-in 1-exp pow-prod-down *-commutative div-inv
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 125
Calls
4 calls:
13.0ms
(/ 1 (- 1.0 z))
20.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
36.0ms
(* t (/ 1 (- 1.0 z)))
53.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series195.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ 1 (- 1.0 z))
46.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
48.0ms
(* t (/ 1 (- 1.0 z)))
67.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify41.0ms

Counts
137 → 137

prune462.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
3.0b
(* (- x) (/ t (- 1.0 z)))
8.5b
(* x (/ y z))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
47×*-un-lft-identity
41×times-frac
34×associate-*r*
33×add-cube-cbrt
15×add-exp-log add-cbrt-cube
13×associate-*l*
7×pow1 distribute-lft-out-- difference-of-squares
5×associate-/r*
4×prod-exp associate-/r/ cbrt-unprod unswap-sqr
3×cbrt-undiv distribute-lft-neg-in distribute-rgt-neg-in div-exp div-inv associate-/l* add-log-exp
2×flip3-- associate-*r/ pow-prod-down *-commutative flip--
1×distribute-lft-neg-out neg-mul-1 frac-2neg clear-num
Counts
3 → 117
Calls
3 calls:
12.0ms
(/ t (- 1.0 z))
62.0ms
(* (- x) (/ t (- 1.0 z)))
20.0ms
(* x (/ y z))

series161.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ t (- 1.0 z))
98.0ms
(* (- x) (/ t (- 1.0 z)))
24.0ms
(* x (/ y z))

simplify60.0ms

Counts
126 → 126

prune562.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.0b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
3.0b
(* (- x) (/ t (- 1.0 z)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
27×add-exp-log
26×*-un-lft-identity associate-*r*
20×add-cube-cbrt
19×add-cbrt-cube
18×times-frac
13×associate-*l*
11×prod-exp cbrt-unprod
8×pow1
6×cbrt-prod
5×cbrt-undiv div-exp
4×add-log-exp unswap-sqr
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*r/ pow-prod-down associate-/r/ *-commutative div-inv
1×distribute-lft-neg-out neg-mul-1 flip3-- flip--
Counts
4 → 100
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
47.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
45.0ms
(* (- x) (/ t (- 1.0 z)))

series734.0ms

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt y)
259.0ms
(cbrt y)
102.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
108.0ms
(* (- x) (/ t (- 1.0 z)))

simplify68.0ms

Counts
112 → 112

prune594.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes494.0ms

Accuracy

-183.8% (5.2b remaining)

Error of 5.3b against oracle of 0.1b and baseline of 1.9b

bsearch0.0ms

simplify122.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
537.0ms10100×body80valid