Details

Time bar (total: 12.4s)

sample23.0ms

Algorithm
intervals
Results
10.0ms267×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
24011
38011
417411
529711
642011
757711
872211
982111
1083511
done83511

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
8.3b
(/ x (* (- y z) (- y t)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
add-exp-log add-cbrt-cube
frac-times associate-/r/
add-cube-cbrt
associate-*r* associate-*l*
pow1 associate-*r/ associate-*l/
times-frac associate-/l*
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod 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 → 63
Calls
2 calls:
50.0ms
(* (- y z) (- y t))
26.0ms
(/ x (* (- y z) (- y t)))

series130.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* (- y z) (- y t))
94.0ms
(/ x (* (- y z) (- y t)))

simplify1.0s

Counts
69 → 69
Iterations

Useful iterations: 2 (217.0ms)

IterNodesCost
0125860
1303838
21214754
done5000754

prune253.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
1.6b
(/ (/ x (- y z)) (- y t))

rewrite96.0ms

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 frac-2neg clear-num add-log-exp
associate-/l/
Counts
2 → 185
Calls
2 calls:
19.0ms
(/ x (- y z))
50.0ms
(/ (/ x (- y z)) (- y t))

series152.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ x (- y z))
109.0ms
(/ (/ x (- y z)) (- y t))

simplify2.9s

Counts
191 → 191
Iterations

Useful iterations: 2 (386.0ms)

IterNodesCost
02643352
16383172
216573096
349883096
done50003096

prune613.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y t) (- y z))
8.3b
(/ x (* (- y t) (- y z)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
add-exp-log add-cbrt-cube
frac-times associate-/r/
add-cube-cbrt
associate-*r* associate-*l*
pow1 associate-*r/ associate-*l/
times-frac associate-/l*
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod 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 → 63
Calls
2 calls:
41.0ms
(* (- y t) (- y z))
23.0ms
(/ x (* (- y t) (- y z)))

series103.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y t) (- y z))
72.0ms
(/ x (* (- y t) (- y z)))

simplify1.1s

Counts
69 → 69
Iterations

Useful iterations: 2 (213.0ms)

IterNodesCost
0125860
1303838
21214754
done5001754

prune251.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.9b
(* (/ (* (cbrt x) (cbrt x)) (- y t)) (/ (cbrt x) (- y z)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
prod-exp cbrt-unprod
cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
pow1 unswap-sqr
associate-/r/ add-log-exp
pow1/3
flip3-- flip-- div-inv
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
89.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y t)) (/ (cbrt x) (- y z)))

series936.0ms

Counts
4 → 12
Calls
4 calls:
316.0ms
(cbrt x)
267.0ms
(cbrt x)
256.0ms
(cbrt x)
96.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y t)) (/ (cbrt x) (- y z)))

simplify1.7s

Counts
122 → 122
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01801821
15141741
220151345
done50001239

prune385.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
done1011

end0.0ms

sample881.0ms

Algorithm
intervals
Results
568.0ms8463×body80valid