Details

Time bar (total: 10.8s)

sample26.0ms

Algorithm
intervals
Results
10.0ms346×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01111
11811
22411
32511
done2511

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* x y) (* z t)) (* a b))
0.0b
(+ (* x y) (* z t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 24
Calls
2 calls:
11.0ms
(+ (+ (* x y) (* z t)) (* a b))
3.0ms
(+ (* x y) (* z t))

series88.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(+ (+ (* x y) (* z t)) (* a b))
36.0ms
(+ (* x y) (* z t))

simplify776.0ms

Counts
30 → 30
Iterations

Useful iterations: 3 (204.0ms)

IterNodesCost
057421
1186395
2623373
32136369
done5000369

prune83.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.2b
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
0.8b
(sqrt (+ (* x y) (* z t)))
0.8b
(sqrt (+ (* x y) (* z t)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
2.0ms
(+ (* x y) (* z t))
18.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
3.0ms
(sqrt (+ (* x y) (* z t)))
3.0ms
(sqrt (+ (* x y) (* z t)))

series210.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* x y) (* z t))
37.0ms
(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
70.0ms
(sqrt (+ (* x y) (* z t)))
70.0ms
(sqrt (+ (* x y) (* z t)))

simplify2.9s

Counts
110 → 110
Iterations

Useful iterations: 3 (504.0ms)

IterNodesCost
01062066
12411477
28711367
342571304
done50001304

prune278.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y))))
1.8b
(* (* t z) (- (* t z) (* x y)))
2.8b
(+ (pow (* x y) 3) (pow (* z t) 3))
38.8b
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y)))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt times-frac
11×add-exp-log add-cbrt-cube
9×pow1
8×add-log-exp
5×sum-cubes distribute-lft-out associate-/l*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in flip3-+ flip-+
3×associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp associate-*l* clear-num *-commutative flip-- div-inv
Counts
4 → 91
Calls
4 calls:
10.0ms
(+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y))))
12.0ms
(* (* t z) (- (* t z) (* x y)))
7.0ms
(+ (pow (* x y) 3) (pow (* z t) 3))
39.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y)))))

series481.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y))))
60.0ms
(* (* t z) (- (* t z) (* x y)))
198.0ms
(+ (pow (* x y) 3) (pow (* z t) 3))
132.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y)))))

simplify1.1s

Counts
103 → 103
Iterations

Useful iterations: 2 (162.0ms)

IterNodesCost
01673118
14502966
223762721
done50012721

prune365.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

13.0b
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (sqrt (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y))))))
24.4b
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y)))))
24.4b
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y)))))
25.2b
(* (/ 1 (sqrt (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y)))))) (/ (+ (pow (* x y) 3) (pow (* z t) 3)) (sqrt (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y)))))))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
103×add-sqr-sqrt
100×times-frac
87×*-un-lft-identity
59×sqrt-prod
55×add-cube-cbrt
36×associate-*r*
28×add-exp-log
24×associate-*l*
18×add-cbrt-cube
15×unswap-sqr
13×sum-cubes distribute-lft-out
10×sqrt-div
9×div-exp
8×pow1 prod-exp
6×flip3-+ associate-/r* associate-/r/ flip-+
5×cbrt-undiv associate-/l*
4×cbrt-unprod add-log-exp
3×div-inv
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp associate-/l/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 186
Calls
4 calls:
40.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (sqrt (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y))))))
16.0ms
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y)))))
16.0ms
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y)))))
125.0ms
(* (/ 1 (sqrt (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y)))))) (/ (+ (pow (* x y) 3) (pow (* z t) 3)) (sqrt (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y)))))))

series553.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (sqrt (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y))))))
113.0ms
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y)))))
118.0ms
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y)))))
135.0ms
(* (/ 1 (sqrt (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y)))))) (/ (+ (pow (* x y) 3) (pow (* z t) 3)) (sqrt (+ (* (* x y) (* x y)) (* (* t z) (- (* t z) (* x y)))))))

simplify1.9s

Counts
198 → 198
Iterations

Useful iterations: 2 (285.0ms)

IterNodesCost
023411258
169710475
236609079
done50009079

prune657.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes286.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
11611
done1611

end0.0ms

sample756.0ms

Algorithm
intervals
Results
361.0ms11878×body80valid