Details

Time bar (total: 12.6s)

sample31.0ms

Algorithm
intervals
Results
21.0ms271×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done15
115
011

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.1b

localize43.0ms

Local error

Found 2 expressions with local error:

0.5b
(+ (* a c) (* b d))
24.1b
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/r* flip3-+ flip-+ associate-/l*
2×pow1 associate-/r/ insert-posit16 associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 44
Calls
2 calls:
8.0ms
(+ (* a c) (* b d))
33.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series150.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ (* a c) (* b d))
96.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify1.7s

Counts
50 → 50
Iterations
IterNodes
done5002
32755
2794
1237
085

prune266.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 23.6b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (* a c) (* b d))
15.7b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
28.5b
(sqrt (+ (* c c) (* d d)))
28.5b
(sqrt (+ (* c c) (* d d)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
18×times-frac sqrt-prod
6×pow1 associate-/r* add-cbrt-cube sqrt-div add-exp-log add-log-exp
5×flip3-+ flip-+
4×insert-posit16
3×associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
4 → 88
Calls
4 calls:
15.0ms
(+ (* a c) (* b d))
27.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
9.0ms
(sqrt (+ (* c c) (* d d)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (* a c) (* b d))
130.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
45.0ms
(sqrt (+ (* c c) (* d d)))
48.0ms
(sqrt (+ (* c c) (* d d)))

simplify1.7s

Counts
100 → 100
Iterations
IterNodes
done5000
32339
2799
1281
0117

prune584.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 22.2b

localize28.0ms

Local error

Found 4 expressions with local error:

8.3b
(/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
28.5b
(sqrt (+ (* c c) (* d d)))
28.5b
(sqrt (+ (* c c) (* d d)))
28.5b
(sqrt (+ (* c c) (* d d)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
45×sqrt-prod
32×add-sqr-sqrt
29×*-un-lft-identity add-cube-cbrt
27×times-frac
10×sqrt-div
9×associate-/r*
7×pow1
6×add-cbrt-cube add-exp-log
5×flip3-+ flip-+
4×insert-posit16 add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 104
Calls
4 calls:
27.0ms
(/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))
11.0ms
(sqrt (+ (* c c) (* d d)))

series370.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(/ (+ (* a c) (* b d)) (sqrt (sqrt (+ (* c c) (* d d)))))
37.0ms
(sqrt (+ (* c c) (* d d)))
55.0ms
(sqrt (+ (* c c) (* d d)))
47.0ms
(sqrt (+ (* c c) (* d d)))

simplify1.8s

Counts
116 → 116
Iterations
IterNodes
done5000
32149
2785
1305
0142

prune752.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 22.2b

localize48.0ms

Local error

Found 4 expressions with local error:

10.6b
(* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))))
28.5b
(sqrt (+ (* c c) (* d d)))
29.4b
(cbrt (+ (* c c) (* d d)))
29.4b
(cbrt (+ (* c c) (* d d)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
71×add-sqr-sqrt
53×times-frac
37×*-un-lft-identity
33×associate-*r* add-cube-cbrt
27×sqrt-prod
26×add-exp-log
18×cbrt-prod
16×add-cbrt-cube
13×associate-*l*
12×unswap-sqr
8×div-exp prod-exp
7×pow1
6×cbrt-div
4×cbrt-undiv flip3-+ sqrt-div cbrt-unprod flip-+ insert-posit16 add-log-exp
2×rec-exp pow1/3 1-exp associate-/r/ div-inv
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 127
Calls
4 calls:
50.0ms
(* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))))
9.0ms
(sqrt (+ (* c c) (* d d)))
7.0ms
(cbrt (+ (* c c) (* d d)))
4.0ms
(cbrt (+ (* c c) (* d d)))

series759.0ms

Counts
4 → 12
Calls
4 calls:
483.0ms
(* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (+ (* a c) (* b d)) (sqrt (cbrt (+ (* c c) (* d d))))))
53.0ms
(sqrt (+ (* c c) (* d d)))
105.0ms
(cbrt (+ (* c c) (* d d)))
117.0ms
(cbrt (+ (* c c) (* d d)))

simplify1.4s

Counts
139 → 139
Iterations
IterNodes
done5000
22458
1743
0251

prune688.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 22.2b

regimes364.0ms

Accuracy

0% (2.4b remaining)

Error of 25.7b against oracle of 23.3b and baseline of 25.7b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
013

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s8459×body80valid