Details

Time bar (total: 12.0s)

sample45.0ms

Algorithm
intervals
Results
12.0ms271×body80valid
11.0ms271×body80nan

simplify173.0ms

Counts
1 → 1
Iterations
IterNodes
done180
8180
7178
6160
5142
4123
385
251
121
010

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

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))

rewrite61.0ms

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:
7.0ms
(+ x (* y (sqrt z)))
38.0ms
(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
14.0ms
(* y (sqrt z))

series164.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(+ x (* y (sqrt z)))
66.0ms
(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
50.0ms
(* y (sqrt z))

simplify1.7s

Counts
89 → 89
Iterations
IterNodes
done5001
22282
1519
0163

prune465.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize21.0ms

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)))

rewrite76.0ms

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:
3.0ms
(sqrt (sqrt z))
21.0ms
(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
10.0ms
(* y (sqrt (sqrt z)))
36.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series366.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(sqrt (sqrt z))
57.0ms
(* (/ 1.0 2.0) (+ x (* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))))
89.0ms
(* y (sqrt (sqrt z)))
56.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.8s

Counts
127 → 127
Iterations
IterNodes
done5001
23586
1714
0230

prune563.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
11×add-cbrt-cube add-exp-log
7×pow1
5×prod-exp associate-*r/ cbrt-unprod
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*l* pow-prod-down add-cube-cbrt
2×expm1-log1p-u log1p-expm1-u
1×cbrt-undiv +-commutative sum-log fma-def flip3-+ div-exp associate-*r* frac-add *-commutative flip-+
Counts
2 → 38
Calls
2 calls:
18.0ms
(+ (* x (/ 1.0 2.0)) (* y (* (sqrt z) (/ 1.0 2.0))))
26.0ms
(* y (* (sqrt z) (/ 1.0 2.0)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(+ (* x (/ 1.0 2.0)) (* y (* (sqrt z) (/ 1.0 2.0))))
71.0ms
(* y (* (sqrt z) (/ 1.0 2.0)))

simplify1.0s

Counts
44 → 44
Iterations
IterNodes
done5000
21380
1335
0112

prune263.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
35×sqrt-prod
23×pow1
19×associate-*r*
14×*-un-lft-identity add-cube-cbrt
13×associate-*l* add-exp-log
12×sqrt-pow1
11×add-cbrt-cube
9×unswap-sqr
8×pow1/2
7×pow-prod-down
6×pow-prod-up
5×prod-exp cbrt-unprod
4×expm1-log1p-u cube-unmult log1p-expm1-u add-log-exp
3×*-commutative
2×cbrt-prod pow-plus rem-cbrt-cube
1×pow1/3 sqrt-unprod
Counts
4 → 109
Calls
4 calls:
16.0ms
(* y (sqrt (sqrt z)))
37.0ms
(* (* y (sqrt (sqrt z))) (cbrt (* (sqrt (sqrt z)) (sqrt z))))
28.0ms
(* (sqrt (sqrt z)) (sqrt z))
9.0ms
(cbrt (* (sqrt (sqrt z)) (sqrt z)))

series527.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* y (sqrt (sqrt z)))
47.0ms
(* (* y (sqrt (sqrt z))) (cbrt (* (sqrt (sqrt z)) (sqrt z))))
210.0ms
(* (sqrt (sqrt z)) (sqrt z))
167.0ms
(cbrt (* (sqrt (sqrt z)) (sqrt z)))

simplify1.8s

Counts
121 → 121
Iterations
IterNodes
done5000
22391
1458
0176

prune550.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes217.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample1.8s

Algorithm
intervals
Results
840.0ms8533×body80valid
471.0ms8495×body80nan