Details

Time bar (total: 7.1s)

sample41.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
10.0ms251×body80nan

simplify3.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize11.0ms

Local error

Found 3 expressions with local error:

1.4b
(+ (* x y) (* x z))
1.8b
(+ (+ (* x y) (* x z)) (* y z))
18.8b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
5×add-sqr-sqrt
4×pow1 add-cube-cbrt *-un-lft-identity sum-log
3×add-exp-log flip3-+ sqrt-prod add-cbrt-cube flip-+
2×+-commutative sqrt-div
1×rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 distribute-lft-out
Counts
3 → 40
Calls
3 calls:
8.0ms
(+ (* x y) (* x z))
33.0ms
(+ (+ (* x y) (* x z)) (* y z))
45.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series188.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (* x y) (* x z))
30.0ms
(+ (+ (* x y) (* x z)) (* y z))
122.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify106.0ms

Counts
49 → 49

prune146.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 19.8b

localize16.0ms

Local error

Found 4 expressions with local error:

1.8b
(+ (+ (* x y) (* x z)) (* y z))
1.8b
(+ (+ (* x y) (* x z)) (* y z))
18.8b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.8b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
14×add-log-exp
8×add-sqr-sqrt
6×pow1 add-cube-cbrt *-un-lft-identity sum-log sqrt-prod
4×add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
2×+-commutative rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2
Counts
4 → 56
Calls
4 calls:
37.0ms
(+ (+ (* x y) (* x z)) (* y z))
39.0ms
(+ (+ (* x y) (* x z)) (* y z))
37.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
33.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series302.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (+ (* x y) (* x z)) (* y z))
30.0ms
(+ (+ (* x y) (* x z)) (* y z))
122.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))
125.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify89.0ms

Counts
68 → 68

prune325.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 19.8b

localize27.0ms

Local error

Found 4 expressions with local error:

15.5b
(cbrt (+ (* x y) (* x z)))
15.5b
(cbrt (+ (* x y) (* x z)))
15.5b
(cbrt (+ (* x y) (* x z)))
18.8b
(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×cbrt-div
5×pow1
4×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
3×pow1/3 sqrt-prod distribute-lft-out
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 57
Calls
4 calls:
8.0ms
(cbrt (+ (* x y) (* x z)))
8.0ms
(cbrt (+ (* x y) (* x z)))
8.0ms
(cbrt (+ (* x y) (* x z)))
175.0ms
(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

series679.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(cbrt (+ (* x y) (* x z)))
183.0ms
(cbrt (+ (* x y) (* x z)))
189.0ms
(cbrt (+ (* x y) (* x z)))
143.0ms
(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

simplify94.0ms

Counts
69 → 69

prune396.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 19.8b

localize36.0ms

Local error

Found 4 expressions with local error:

15.5b
(cbrt (+ (* x y) (* x z)))
15.5b
(cbrt (+ (* x y) (* x z)))
15.5b
(cbrt (+ (* x y) (* x z)))
18.8b
(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (cbrt (+ (* x y) (* x z)))) (* y z)))

rewrite620.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×cbrt-div
5×pow1
4×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
3×pow1/3 sqrt-prod distribute-lft-out
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 57
Calls
4 calls:
9.0ms
(cbrt (+ (* x y) (* x z)))
9.0ms
(cbrt (+ (* x y) (* x z)))
9.0ms
(cbrt (+ (* x y) (* x z)))
590.0ms
(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (cbrt (+ (* x y) (* x z)))) (* y z)))

series658.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt (+ (* x y) (* x z)))
138.0ms
(cbrt (+ (* x y) (* x z)))
177.0ms
(cbrt (+ (* x y) (* x z)))
153.0ms
(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (cbrt (+ (* x y) (* x z)))) (* y z)))

simplify121.0ms

Counts
69 → 69

prune487.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 19.8b

regimes312.0ms

Accuracy

0% (0.1b remaining)

Error of 20.2b against oracle of 20.1b and baseline of 20.2b

bsearch0.0ms

simplify4.0ms

end0.0ms

sample2.0s

Algorithm
intervals
Results
833.0ms7780×body80nan
534.0ms8000×body80valid