Details

Time bar (total: 14.8s)

sample48.0ms

Algorithm
intervals
Results
14.0ms271×body80nan
9.0ms271×body80valid

simplify179.0ms

Counts
1 → 1
Iterations
IterNodes
done173
8173
7167
6140
5126
4101
380
251
121
010

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.2b
(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
0.2b
(* y (sqrt z))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
16×associate-*l*
15×*-un-lft-identity add-cube-cbrt
10×times-frac add-cbrt-cube add-exp-log
9×associate-*r*
7×pow1
5×add-log-exp
4×sqrt-prod unswap-sqr
3×expm1-log1p-u fma-def flip3-+ prod-exp cbrt-unprod flip-+ log1p-expm1-u
2×frac-times pow-prod-down associate-*r/ *-commutative
1×distribute-rgt-in cbrt-undiv +-commutative sum-log distribute-lft-in div-exp associate-*l/ div-inv
Counts
3 → 80
Calls
3 calls:
4.0ms
(+ x (* y (sqrt z)))
24.0ms
(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
14.0ms
(* y (sqrt z))

series171.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ x (* y (sqrt z)))
67.0ms
(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
55.0ms
(* y (sqrt z))

simplify1.5s

Counts
89 → 89
Iterations
IterNodes
done5003
21891
1519
0163

prune439.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.2b
(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
31×sqrt-prod
21×*-un-lft-identity associate-*r* add-cube-cbrt
17×associate-*l*
16×add-cbrt-cube add-exp-log
15×pow1
10×times-frac
6×prod-exp cbrt-unprod
5×pow-prod-down unswap-sqr
4×expm1-log1p-u sqrt-pow1 log1p-expm1-u add-log-exp
3×*-commutative
2×frac-times rem-sqrt-square flip3-+ pow1/2 associate-*r/ flip-+
1×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp associate-*l/ div-inv
Counts
4 → 115
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
22.0ms
(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
10.0ms
(* y (sqrt (sqrt z)))
31.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series475.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(sqrt (sqrt z))
55.0ms
(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
106.0ms
(* y (sqrt (sqrt z)))
60.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify2.6s

Counts
127 → 127
Iterations
IterNodes
done5000
22688
1713
0230

prune701.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (/ 1.0 2.0)) (* (* (/ 1.0 2.0) y) (sqrt z)))
0.2b
(* (* (/ 1.0 2.0) y) (sqrt z))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
11×add-cbrt-cube add-exp-log
7×pow1
6×associate-*r*
5×prod-exp cbrt-unprod
4×add-sqr-sqrt *-un-lft-identity associate-*l/ add-cube-cbrt add-log-exp
3×pow-prod-down sqrt-prod
2×expm1-log1p-u log1p-expm1-u
1×cbrt-undiv +-commutative sum-log fma-def flip3-+ div-exp associate-*l* frac-add associate-*r/ *-commutative flip-+
Counts
2 → 41
Calls
2 calls:
16.0ms
(+ (* x (/ 1.0 2.0)) (* (* (/ 1.0 2.0) y) (sqrt z)))
29.0ms
(* (* (/ 1.0 2.0) y) (sqrt z))

series155.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(+ (* x (/ 1.0 2.0)) (* (* (/ 1.0 2.0) y) (sqrt z)))
82.0ms
(* (* (/ 1.0 2.0) y) (sqrt z))

simplify1.5s

Counts
47 → 47
Iterations
IterNodes
done5000
21343
1360
0121

prune324.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (fabs (cbrt z))) (* (sqrt (sqrt z)) y))
0.3b
(* (* (sqrt (fabs (cbrt z))) (* (sqrt (sqrt z)) y)) (sqrt (sqrt (cbrt z))))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log sqrt-prod
13×associate-*r*
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×cbrt-prod pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow1/3 *-commutative
Counts
4 → 81
Calls
4 calls:
33.0ms
(* (sqrt (fabs (cbrt z))) (* (sqrt (sqrt z)) y))
128.0ms
(* (* (sqrt (fabs (cbrt z))) (* (sqrt (sqrt z)) y)) (sqrt (sqrt (cbrt z))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
210.0ms
(* (sqrt (fabs (cbrt z))) (* (sqrt (sqrt z)) y))
335.0ms
(* (* (sqrt (fabs (cbrt z))) (* (sqrt (sqrt z)) y)) (sqrt (sqrt (cbrt z))))
244.0ms
(cbrt z)
286.0ms
(cbrt z)

simplify1.9s

Counts
93 → 93
Iterations
IterNodes
done5003
21699
1479
0183

prune754.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes446.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample2.0s

Algorithm
intervals
Results
526.0ms8533×body80valid
515.0ms8495×body80nan