Details

Time bar (total: 3.3s)

sample22.0ms

Algorithm
intervals
Results
10.0ms272×body80valid

simplify85.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1405
2845
32005
44635
57085
612615
718545
824465
928115
1028135
1128135
done28135

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
7.2b
(/ x (* (- y z) (- y t)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
add-exp-log add-cbrt-cube
frac-times associate-/r/
associate-*r* associate-*l*
pow1 associate-*r/ associate-*l/
times-frac associate-/l*
cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
38.0ms
(* (- y z) (- y t))
16.0ms
(/ x (* (- y z) (- y t)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (- y z) (- y t))
60.0ms
(/ x (* (- y z) (- y t)))

simplify51.0ms

Counts
91 → 91
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0390703
11853534
25003534
done5003534

prune372.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.6b
(/ 1 (* (- y z) (- y t)))
6.8b
(* x (/ 1 (* (- y z) (- y t))))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
30×add-sqr-sqrt
26×*-un-lft-identity
22×add-cube-cbrt
20×associate-*r*
19×add-cbrt-cube
18×flip3-- prod-diff flip--
16×associate-/r/
14×prod-exp
12×frac-times
11×distribute-rgt-in distribute-lft-in
10×pow1
div-exp associate-*l*
associate-*r/
times-frac associate-*l/ cbrt-unprod
cbrt-undiv rec-exp 1-exp
expm1-log1p-u pow-prod-down log1p-expm1-u associate-/l* add-log-exp
sub-neg pow-flip *-commutative div-inv distribute-lft-out-- difference-of-squares unswap-sqr
frac-2neg clear-num associate-/r* un-div-inv inv-pow
Counts
3 → 134
Calls
3 calls:
38.0ms
(* (- y z) (- y t))
28.0ms
(/ 1 (* (- y z) (- y t)))
78.0ms
(* x (/ 1 (* (- y z) (- y t))))

series158.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* (- y z) (- y t))
63.0ms
(/ 1 (* (- y z) (- y t)))
65.0ms
(* x (/ 1 (* (- y z) (- y t))))

simplify76.0ms

Counts
143 → 143
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05151000
12682783
25002773
done5002773

prune272.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.4b
(/ (/ x (- y z)) (- y t))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
add-exp-log add-cbrt-cube
flip3-- flip-- div-inv
cbrt-undiv div-exp
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 189
Calls
2 calls:
11.0ms
(/ x (- y z))
31.0ms
(/ (/ x (- y z)) (- y t))

series92.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ x (- y z))
63.0ms
(/ (/ x (- y z)) (- y t))

simplify58.0ms

Counts
195 → 195
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
06481751
123351707
250031707
done50031707

prune414.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- y t))
0.0b
(/ 1 (- y z))
2.0b
(* (/ 1 (- y z)) (/ x (- y t)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
prod-exp associate-/r/
pow1 cbrt-undiv associate-/l* unswap-sqr
flip3-- flip-- cbrt-unprod div-inv
expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
frac-2neg clear-num
frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 156
Calls
3 calls:
11.0ms
(/ x (- y t))
13.0ms
(/ 1 (- y z))
55.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ x (- y t))
40.0ms
(/ 1 (- y z))
135.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

simplify55.0ms

Counts
165 → 165
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0532932
12297821
25001789
done5001789

prune317.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes139.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115
done115

end0.0ms

sample488.0ms

Algorithm
intervals
Results
216.0ms8468×body80valid