Details

Time bar (total: 13.5s)

sample59.0ms

Algorithm
intervals
Results
24.0ms428×body80valid

simplify73.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-+l+
Counts
3 → 38
Calls
3 calls:
9.0ms
(+ (* x y) (* z t))
124.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
48.0ms
(+ (+ (* x y) (* z t)) (* a b))

series399.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+ (* x y) (* z t))
265.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
80.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify457.0ms

Counts
47 → 47

prune172.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
2.7b
(cbrt (+ (* x y) (* z t)))
2.7b
(cbrt (+ (* x y) (* z t)))
2.7b
(cbrt (+ (* x y) (* z t)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-+ pow1/3 flip-+
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
51.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
5.0ms
(cbrt (+ (* x y) (* z t)))
5.0ms
(cbrt (+ (* x y) (* z t)))
5.0ms
(cbrt (+ (* x y) (* z t)))

series619.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
149.0ms
(cbrt (+ (* x y) (* z t)))
149.0ms
(cbrt (+ (* x y) (* z t)))
129.0ms
(cbrt (+ (* x y) (* z t)))

simplify1.3s

Counts
99 → 99

prune608.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

2.7b
(cbrt (+ (* x y) (* z t)))
2.7b
(cbrt (+ (* x y) (* z t)))
2.7b
(cbrt (+ (* x y) (* z t)))
2.7b
(cbrt (+ (* x y) (* z t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
5.0ms
(cbrt (+ (* x y) (* z t)))
5.0ms
(cbrt (+ (* x y) (* z t)))
5.0ms
(cbrt (+ (* x y) (* z t)))
5.0ms
(cbrt (+ (* x y) (* z t)))

series643.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(cbrt (+ (* x y) (* z t)))
170.0ms
(cbrt (+ (* x y) (* z t)))
159.0ms
(cbrt (+ (* x y) (* z t)))
154.0ms
(cbrt (+ (* x y) (* z t)))

simplify1.4s

Counts
64 → 64

prune475.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (* x y) (* z t)) (* a b))
0.1b
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.1b
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b
(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite321.0ms

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
flip3-+ flip-+ add-log-exp
swap-sqr
add-exp-log associate-*r* associate-*l* add-cbrt-cube
pow-prod-up
frac-times unswap-sqr
pow-prod-down sum-log pow-sqr
rem-sqrt-square associate-*r/ associate-*l/
+-commutative pow2 associate-+l+ pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 100
Calls
4 calls:
59.0ms
(+ (+ (* x y) (* z t)) (* a b))
47.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
33.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
175.0ms
(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

series1.3s

Counts
4 → 12
Calls
4 calls:
67.0ms
(+ (+ (* x y) (* z t)) (* a b))
558.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
624.0ms
(sqrt (+ (+ (* x y) (* z t)) (* a b)))
73.0ms
(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify768.0ms

Counts
112 → 112

prune486.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes855.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify73.0ms

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.2s13733×body80valid