Details

Time bar (total: 21.9s)

sample61.0ms

Algorithm
intervals
Results
25.0ms458×body80valid

simplify4.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite541.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
8.0ms
(+ (* x y) (* z t))
37.0ms
(+ (+ (* x y) (* z t)) (* a b))
495.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series359.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ (* x y) (* z t))
62.0ms
(+ (+ (* x y) (* z t)) (* a b))
246.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify43.0ms

Counts
47 → 47

prune174.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite852.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
82.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
92.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
79.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
596.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series696.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
160.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
169.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
196.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify125.0ms

Counts
99 → 99

prune521.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.6b
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
38×cbrt-prod add-sqr-sqrt
28×cbrt-div
22×add-cube-cbrt *-un-lft-identity
18×pow1
14×flip3-+ pow1/3 flip-+
12×swap-sqr associate-*r* associate-*l*
8×add-exp-log frac-times unswap-sqr
4×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 122
Calls
4 calls:
68.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
85.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
670.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
683.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series659.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
151.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
191.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
183.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify116.0ms

Counts
134 → 134

prune818.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
13×add-log-exp
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* sum-log add-cbrt-cube
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 associate-+l+ pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
168.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
172.0ms
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
148.0ms
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
521.0ms
(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series10.8s

Counts
4 → 12
Calls
4 calls:
244.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
5.2s
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
5.1s
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
294.0ms
(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify55.0ms

Counts
113 → 113

prune440.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes588.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

end0.0ms

sample2.3s

Algorithm
intervals
Results
840.0ms13576×body80valid