Details

Time bar (total: 12.4s)

sample32.0ms

Algorithm
intervals
Results
22.0ms270×body80valid

simplify36.0ms

Counts
1 → 1
Iterations
IterNodes
670
570
466
348
236
119
011

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.2b

localize19.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* b c) (* a d))
25.2b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite28.0ms

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* associate-/l*
2×pow1 flip3-- associate-/r/ insert-posit16 flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-sub div-exp flip-+ div-inv
Counts
2 → 46
Calls
2 calls:
7.0ms
(- (* b c) (* a d))
21.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series177.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(- (* b c) (* a d))
108.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify936.0ms

Counts
52 → 52
Iterations
IterNodes
32836
2838
1256
088

prune521.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 24.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(- (* b c) (* a d))
16.3b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
29.5b
(sqrt (+ (* c c) (* d d)))
29.5b
(sqrt (+ (* c c) (* d d)))

rewrite43.0ms

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
4×insert-posit16
3×flip3-+ flip-+ associate-/l*
2×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 associate-/r/ flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
4 → 90
Calls
4 calls:
10.0ms
(- (* b c) (* a d))
21.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

series255.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* b c) (* a d))
122.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
46.0ms
(sqrt (+ (* c c) (* d d)))
42.0ms
(sqrt (+ (* c c) (* d d)))

simplify677.0ms

Counts
102 → 102
Iterations
IterNodes
32500
2898
1311
0121

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 23.2b

localize39.0ms

Local error

Found 4 expressions with local error:

9.3b
(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
29.5b
(sqrt (+ (* c c) (* d d)))
29.5b
(sqrt (+ (* c c) (* d d)))
29.5b
(sqrt (+ (* c c) (* d d)))

rewrite66.0ms

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
4×flip3-+ flip-+ 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 flip3-- div-sub div-exp div-inv flip--
Counts
4 → 105
Calls
4 calls:
35.0ms
(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))
17.0ms
(sqrt (+ (* c c) (* d d)))

series389.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(/ (- (* b c) (* a d)) (sqrt (sqrt (+ (* c c) (* d d)))))
39.0ms
(sqrt (+ (* c c) (* d d)))
55.0ms
(sqrt (+ (* c c) (* d d)))
48.0ms
(sqrt (+ (* c c) (* d d)))

simplify835.0ms

Counts
117 → 117
Iterations
IterNodes
32490
2915
1340
0144

prune1.6s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 23.2b

localize44.0ms

Local error

Found 4 expressions with local error:

9.5b
(* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))))
29.5b
(sqrt (+ (* c c) (* d d)))
30.6b
(cbrt (+ (* c c) (* d d)))
30.6b
(cbrt (+ (* c c) (* d d)))

rewrite66.0ms

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:
46.0ms
(* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))))
8.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(cbrt (+ (* c c) (* d d)))
4.0ms
(cbrt (+ (* c c) (* d d)))

series784.0ms

Counts
4 → 12
Calls
4 calls:
509.0ms
(* (/ 1 (fabs (cbrt (+ (* c c) (* d d))))) (/ (- (* b c) (* a d)) (sqrt (cbrt (+ (* c c) (* d d))))))
51.0ms
(sqrt (+ (* c c) (* d d)))
116.0ms
(cbrt (+ (* c c) (* d d)))
108.0ms
(cbrt (+ (* c c) (* d d)))

simplify705.0ms

Counts
139 → 139
Iterations
IterNodes
22312
1720
0251

prune1.9s

Pruning

13 alts after pruning (9 fresh and 4 done)

Merged error: 23.0b

regimes495.0ms

Accuracy

-8.6% (2.8b remaining)

Error of 25.9b against oracle of 23.1b and baseline of 25.7b

bsearch37.0ms

Steps
ItersRangePoint
5
5.461763845755053e+58
1.6053559124068705e+59
9.136570255790176e+58

simplify3.0ms

Iterations
IterNodes
223
123
018

end0.0ms

sample1.6s

Algorithm
intervals
Results
983.0ms8496×body80valid