Details

Time bar (total: 9.8s)

sample41.0ms

Algorithm
intervals
Results
10.0ms272×body80valid
9.0ms258×body80nan

simplify129.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.3b
(* y (sqrt x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
20.0ms
(* y (sqrt x))

series90.0ms

Counts
1 → 3
Calls
1 calls:
90.0ms
(* y (sqrt x))

simplify2.0s

Counts
25 → 25

prune85.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.3b
(* y (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
4.0ms
(sqrt (sqrt x))
4.0ms
(sqrt (sqrt x))
25.0ms
(* y (sqrt (sqrt x)))
54.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series670.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(sqrt (sqrt x))
213.0ms
(sqrt (sqrt x))
134.0ms
(* y (sqrt (sqrt x)))
65.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify807.0ms

Counts
100 → 100

prune440.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.1b
(sqrt (sqrt x))
0.3b
(* y (pow x (/ 1/2 2)))
0.3b
(* (* y (pow x (/ 1/2 2))) (sqrt (sqrt x)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
19×sqrt-prod
18×add-exp-log add-sqr-sqrt
16×associate-*r*
11×add-cube-cbrt *-un-lft-identity
10×prod-exp add-cbrt-cube
7×pow1
4×unpow-prod-down sqrt-pow1 associate-*l* cbrt-unprod
3×add-log-exp unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative sqr-pow
1×pow-prod-down
Counts
3 → 69
Calls
3 calls:
2.0ms
(sqrt (sqrt x))
13.0ms
(* y (pow x (/ 1/2 2)))
31.0ms
(* (* y (pow x (/ 1/2 2))) (sqrt (sqrt x)))

series434.0ms

Counts
3 → 9
Calls
3 calls:
228.0ms
(sqrt (sqrt x))
98.0ms
(* y (pow x (/ 1/2 2)))
107.0ms
(* (* y (pow x (/ 1/2 2))) (sqrt (sqrt x)))

simplify881.0ms

Counts
78 → 78

prune327.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.1b
(sqrt (sqrt x))
0.3b
(* y (* (pow x (/ 1/2 2)) (sqrt (sqrt x))))
0.5b
(* (pow x (/ 1/2 2)) (sqrt (sqrt x)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt sqrt-prod
18×add-exp-log
11×add-cube-cbrt *-un-lft-identity
10×associate-*r* associate-*l* prod-exp add-cbrt-cube
9×sqrt-pow1 unswap-sqr
8×pow1
6×unpow-prod-down
5×pow1/2
4×cbrt-unprod sqr-pow
3×add-log-exp
2×pow-to-exp rem-sqrt-square pow-prod-down pow-exp *-commutative pow-prod-up
1×pow-sqr
Counts
3 → 79
Calls
3 calls:
2.0ms
(sqrt (sqrt x))
57.0ms
(* y (* (pow x (/ 1/2 2)) (sqrt (sqrt x))))
26.0ms
(* (pow x (/ 1/2 2)) (sqrt (sqrt x)))

series410.0ms

Counts
3 → 9
Calls
3 calls:
233.0ms
(sqrt (sqrt x))
105.0ms
(* y (* (pow x (/ 1/2 2)) (sqrt (sqrt x))))
71.0ms
(* (pow x (/ 1/2 2)) (sqrt (sqrt x)))

simplify792.0ms

Counts
88 → 88

prune380.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify114.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
793.0ms8139×body80nan
419.0ms8481×body80valid
0.0ms2×body640valid