Details

Time bar (total: 12.9s)

sample43.0ms

Algorithm
intervals
Results
10.0ms271×body80valid
10.0ms267×body80nan

simplify131.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* y (sqrt x))

rewrite11.0ms

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:
10.0ms
(* y (sqrt x))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(* y (sqrt x))

simplify1.5s

Counts
25 → 25

prune87.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite82.0ms

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:
2.0ms
(sqrt (sqrt x))
2.0ms
(sqrt (sqrt x))
21.0ms
(* y (sqrt (sqrt x)))
54.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series670.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(sqrt (sqrt x))
261.0ms
(sqrt (sqrt x))
118.0ms
(* y (sqrt (sqrt x)))
72.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify759.0ms

Counts
100 → 100

prune403.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.3b
(* y (sqrt (sqrt x)))
0.3b
(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
0.4b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

rewrite283.0ms

Algorithm
rewrite-expression-head
Rules
58×sqrt-prod
33×associate-*r*
26×add-sqr-sqrt
22×pow1
20×add-exp-log add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×sqrt-pow1 add-log-exp
3×*-commutative unswap-sqr
2×rem-sqrt-square pow1/2
Counts
4 → 102
Calls
4 calls:
5.0ms
(sqrt (sqrt x))
28.0ms
(* y (sqrt (sqrt x)))
200.0ms
(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
39.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

series595.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(sqrt (sqrt x))
124.0ms
(* y (sqrt (sqrt x)))
58.0ms
(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
191.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))

simplify1.2s

Counts
114 → 114

prune493.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(pow (sqrt (sqrt (sqrt x))) 3)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
36×sqrt-prod
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod
9×cbrt-prod sqrt-pow1
8×pow1
7×pow-pow
5×add-exp-log add-cbrt-cube
4×add-log-exp
3×pow-unpow pow1/2 pow1/3
1×cube-mult pow-to-exp unpow3 pow-exp sqrt-pow2 rem-cube-cbrt sqr-pow
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
7.0ms
(pow (sqrt (sqrt (sqrt x))) 3)

series1.1s

Counts
4 → 12
Calls
4 calls:
218.0ms
(cbrt x)
259.0ms
(cbrt x)
324.0ms
(cbrt x)
288.0ms
(pow (sqrt (sqrt (sqrt x))) 3)

simplify3.2s

Counts
93 → 93

prune503.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify130.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
429.0ms8553×body80nan
425.0ms8550×body80valid
0.0ms1×body640valid
0.0ms1×body1280valid