Details

Time bar (total: 10.3s)

sample42.0ms

Algorithm
intervals
Results
10.0ms275×body80valid
10.0ms272×body80nan

simplify97.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

0.2b
(* y (sqrt z))

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 z))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(* y (sqrt z))

simplify1.4s

Counts
25 → 25

prune66.0ms

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

rewrite86.0ms

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 z))
5.0ms
(sqrt (sqrt z))
20.0ms
(* y (sqrt (sqrt z)))
51.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series547.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(sqrt (sqrt z))
165.0ms
(sqrt (sqrt z))
124.0ms
(* y (sqrt (sqrt z)))
75.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify807.0ms

Counts
100 → 100

prune399.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b
(sqrt (sqrt z))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (pow z (/ 1 4)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
22×sqrt-prod
19×add-sqr-sqrt
18×add-exp-log
16×associate-*r*
11×add-cube-cbrt *-un-lft-identity
10×prod-exp add-cbrt-cube
7×pow1
4×sqrt-pow1 associate-*l* cbrt-unprod
3×unpow-prod-down add-log-exp unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative
1×pow-prod-down sqr-pow
Counts
3 → 69
Calls
3 calls:
2.0ms
(sqrt (sqrt z))
20.0ms
(* y (sqrt (sqrt z)))
51.0ms
(* (* y (sqrt (sqrt z))) (pow z (/ 1 4)))

series470.0ms

Counts
3 → 9
Calls
3 calls:
209.0ms
(sqrt (sqrt z))
118.0ms
(* y (sqrt (sqrt z)))
142.0ms
(* (* y (sqrt (sqrt z))) (pow z (/ 1 4)))

simplify1.0s

Counts
78 → 78

prune326.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.1b
(pow (/ 1 z) -1/4)
0.3b
(* y (pow (/ 1 z) -1/4))
0.3b
(* (* y (pow (/ 1 z) -1/4)) (pow z (/ 1 4)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
45×prod-exp
32×add-sqr-sqrt unpow-prod-down
27×pow-exp
24×associate-*r*
23×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
12×pow-to-exp
10×div-exp add-cbrt-cube
5×pow1 rec-exp 1-exp unswap-sqr
4×associate-*l* cbrt-unprod sqr-pow
3×pow-unpow pow-pow add-log-exp
2×*-commutative div-inv
1×pow-flip inv-pow
Counts
3 → 111
Calls
3 calls:
14.0ms
(pow (/ 1 z) -1/4)
50.0ms
(* y (pow (/ 1 z) -1/4))
46.0ms
(* (* y (pow (/ 1 z) -1/4)) (pow z (/ 1 4)))

series479.0ms

Counts
3 → 9
Calls
3 calls:
272.0ms
(pow (/ 1 z) -1/4)
115.0ms
(* y (pow (/ 1 z) -1/4))
92.0ms
(* (* y (pow (/ 1 z) -1/4)) (pow z (/ 1 4)))

simplify972.0ms

Counts
120 → 120

prune397.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes315.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify174.0ms

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.0s8654×body80nan
543.0ms8522×body80valid