Details

Time bar (total: 10.8s)

sample62.0ms

Algorithm
intervals
Results
15.0ms295×body80nan
14.0ms272×body80valid

simplify113.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.2b
(* y (sqrt z))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×associate-*l*
2×unswap-sqr
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 33
Calls
2 calls:
12.0ms
(+ x (* y (sqrt z)))
33.0ms
(* y (sqrt z))

series117.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ x (* y (sqrt z)))
66.0ms
(* y (sqrt z))

simplify1.8s

Counts
39 → 39

prune155.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite100.0ms

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:
5.0ms
(sqrt (sqrt z))
5.0ms
(sqrt (sqrt z))
25.0ms
(* y (sqrt (sqrt z)))
57.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series656.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(sqrt (sqrt z))
224.0ms
(sqrt (sqrt z))
132.0ms
(* y (sqrt (sqrt z)))
62.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify556.0ms

Counts
100 → 100

prune319.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
12.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
225.0ms
(* (cbrt z) (cbrt z))
283.0ms
(cbrt z)
305.0ms
(cbrt z)
270.0ms
(cbrt z)

simplify706.0ms

Counts
85 → 85

prune421.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (sqrt z)))
0.2b
(* y (sqrt (sqrt (sqrt z))))
0.3b
(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
0.3b
(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-prod
33×associate-*r*
30×add-sqr-sqrt
23×pow1
20×add-exp-log add-cbrt-cube
19×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
9×sqrt-pow1
5×associate-*l*
4×add-log-exp unswap-sqr
3×rem-sqrt-square pow1/2 *-commutative
Counts
4 → 109
Calls
4 calls:
4.0ms
(sqrt (sqrt (sqrt z)))
20.0ms
(* y (sqrt (sqrt (sqrt z))))
49.0ms
(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
175.0ms
(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

series438.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(sqrt (sqrt (sqrt z)))
99.0ms
(* y (sqrt (sqrt (sqrt z))))
86.0ms
(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
45.0ms
(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

simplify845.0ms

Counts
121 → 121

prune469.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes355.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify113.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
877.0ms8502×body80valid
472.0ms8721×body80nan