Details

Time bar (total: 44.4s)

sample59.0ms

Algorithm
intervals
Results
44.0ms256×body80valid

simplify18.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
18.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize40.0ms

Local error

Found 3 expressions with local error:

25.2b
(sqrt (+ (* re re) (* im im)))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
0.0b
(+ (* re re) (* im im))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
21×pow1
17×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
6×sqrt-pow1 pow1/2 associate-/l*
5×add-cbrt-cube add-exp-log add-log-exp
4×associate-/r* sqrt-div
3×flip3-+ sqrt-prod flip-+ insert-posit16
2×log-div div-sub
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg div-exp div-inv
Counts
3 → 77
Calls
3 calls:
Slowest
42.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
12.0ms
(sqrt (+ (* re re) (* im im)))
7.0ms
(+ (* re re) (* im im))

series275.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
197.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
47.0ms
(sqrt (+ (* re re) (* im im)))
31.0ms
(+ (* re re) (* im im))

simplify2.9s

Counts
76 → 86
Calls
76 calls:
Slowest
438.0ms
(/ (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im))))) (* (* (log 10) (log 10)) (log 10)))
349.0ms
(sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
323.0ms
(/ (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (log 10))
295.0ms
(/ (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (log 10))
222.0ms
(sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))

prune1.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.9b

localize60.0ms

Local error

Found 4 expressions with local error:

25.2b
(sqrt (+ (* re re) (* im im)))
0.4b
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10)))
0.2b
(* (/ 1 (sqrt (log 10))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10))))
0.0b
(+ (* re re) (* im im))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
108×add-sqr-sqrt
78×sqrt-prod
67×*-un-lft-identity
61×log-pow add-cube-cbrt
53×pow1
46×associate-*r*
28×add-exp-log
25×associate-*l*
18×add-cbrt-cube
16×sqrt-pow1 pow1/2
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv
4×sqrt-div cbrt-unprod insert-posit16
3×flip3-+ flip-+ div-inv
2×log-div rec-exp 1-exp div-sub
1×frac-times +-commutative rem-sqrt-square clear-num sum-log frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 209
Calls
4 calls:
Slowest
42.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10))))
22.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10)))
14.0ms
(+ (* re re) (* im im))
6.0ms
(sqrt (+ (* re re) (* im im)))

series553.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
267.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10)))
203.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10))))
51.0ms
(sqrt (+ (* re re) (* im im)))
31.0ms
(+ (* re re) (* im im))

simplify11.4s

Counts
234 → 221
Calls
234 calls:
Slowest
778.0ms
(/ (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10))))
520.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10)))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10)))))
361.0ms
(/ (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (log 10)))
318.0ms
(sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
313.0ms
(* (/ (* (* 1 1) 1) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))) (/ (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))))

prune3.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.8b

localize69.0ms

Local error

Found 4 expressions with local error:

25.2b
(sqrt (+ (* re re) (* im im)))
25.2b
(sqrt (+ (* re re) (* im im)))
25.2b
(sqrt (+ (* re re) (* im im)))
1.6b
(* (sqrt (log 10)) (log 10))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×pow1
14×sqrt-prod
12×*-un-lft-identity add-cube-cbrt
7×associate-*l*
6×log-prod add-cbrt-cube sqrt-div add-exp-log
5×sqrt-pow1 pow1/2
4×associate-*r* insert-posit16 add-log-exp
3×distribute-rgt-in rem-sqrt-square distribute-lft-in flip3-+ flip-+
2×pow-plus log-pow pow-prod-up unswap-sqr
1×cube-unmult pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 84
Calls
4 calls:
Slowest
12.0ms
(sqrt (+ (* re re) (* im im)))
12.0ms
(sqrt (+ (* re re) (* im im)))
11.0ms
(* (sqrt (log 10)) (log 10))
7.0ms
(sqrt (+ (* re re) (* im im)))

series154.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
62.0ms
(sqrt (+ (* re re) (* im im)))
46.0ms
(sqrt (+ (* re re) (* im im)))
46.0ms
(sqrt (+ (* re re) (* im im)))
0.0ms
(* (sqrt (log 10)) (log 10))

simplify2.6s

Counts
60 → 94
Calls
60 calls:
Slowest
527.0ms
(* (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10))) (* (* (log 10) (log 10)) (log 10)))
352.0ms
(* (/ 1 (sqrt (log 10))) (cbrt (/ (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im))))) (* (sqrt (log 10)) (log 10)))))
292.0ms
(sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
284.0ms
(sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
261.0ms
(sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))

prune1.5s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.8b

localize26.0ms

Local error

Found 4 expressions with local error:

25.2b
(sqrt (+ (* re re) (* im im)))
0.7b
(/ (log 10) (log (sqrt (+ (* re re) (* im im)))))
0.3b
(/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im))))))
0.0b
(+ (* re re) (* im im))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
94×log-pow
91×add-sqr-sqrt
90×*-un-lft-identity add-cube-cbrt
79×pow1
34×associate-/r*
22×sqrt-pow1 pow1/2
17×add-exp-log
11×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv add-log-exp
4×cbrt-undiv insert-posit16
3×sqrt-prod
2×rec-exp clear-num frac-2neg flip3-+ sqrt-div 1-exp flip-+
1×+-commutative rem-sqrt-square sum-log associate-/r/ pow-flip inv-pow
Counts
4 → 212
Calls
4 calls:
Slowest
7.0ms
(/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im))))))
7.0ms
(+ (* re re) (* im im))
6.0ms
(/ (log 10) (log (sqrt (+ (* re re) (* im im)))))
6.0ms
(sqrt (+ (* re re) (* im im)))

series458.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
192.0ms
(/ 1 (/ (log 10) (log (sqrt (+ (* re re) (* im im))))))
180.0ms
(/ (log 10) (log (sqrt (+ (* re re) (* im im)))))
57.0ms
(sqrt (+ (* re re) (* im im)))
29.0ms
(+ (* re re) (* im im))

simplify14.7s

Counts
284 → 224
Calls
284 calls:
Slowest
535.0ms
(/ (* (* (log 10) (log 10)) (log 10)) (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im))))))
500.0ms
(/ (* (* 1 1) 1) (* (* (/ (log 10) (log (sqrt (+ (* re re) (* im im))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))) (/ (log 10) (log (sqrt (+ (* re re) (* im im)))))))
381.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (log 10)) (cbrt (log 10))) (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))))
365.0ms
(sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
278.0ms
(/ (sqrt 1) (/ (* (cbrt (log 10)) (cbrt (log 10))) (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))))

prune2.1s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.8b

regimes1.4s

Accuracy

56.6% (10.3b remaining)

Error of 17.7b against oracle of 7.4b and baseline of 31.1b

bsearch229.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.5s8000×body80valid