Details

Time bar (total: 6.9s)

sample24.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
29.1b
(sqrt (+ (* re re) (* im im)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
20×pow1
16×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
6×sqrt-pow1 pow1/2 associate-/l*
4×add-exp-log sqrt-div associate-/r* add-cbrt-cube
3×sqrt-prod
2×log-div flip3-+ div-sub flip-+ add-log-exp
1×cbrt-undiv rem-sqrt-square frac-2neg div-exp clear-num div-inv
Counts
2 → 63
Calls
2 calls:
42.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
9.0ms
(sqrt (+ (* re re) (* im im)))

series195.0ms

Counts
2 → 6
Calls
2 calls:
154.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
40.0ms
(sqrt (+ (* re re) (* im im)))

simplify133.0ms

Counts
69 → 69

prune205.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
0.4b
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
29.1b
(sqrt (+ (* re re) (* im im)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
107×add-sqr-sqrt
78×sqrt-prod
66×*-un-lft-identity
61×log-pow
60×add-cube-cbrt
52×pow1
46×associate-*r*
27×add-exp-log
25×associate-*l*
17×add-cbrt-cube
16×sqrt-pow1 pow1/2
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
6×associate-/l*
5×cbrt-undiv
4×sqrt-div cbrt-unprod
3×div-inv add-log-exp
2×log-div rec-exp flip3-+ 1-exp div-sub flip-+
1×frac-times rem-sqrt-square frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 194
Calls
3 calls:
66.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
32.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
14.0ms
(sqrt (+ (* re re) (* im im)))

series409.0ms

Counts
3 → 9
Calls
3 calls:
149.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
218.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
43.0ms
(sqrt (+ (* re re) (* im im)))

simplify69.0ms

Counts
203 → 203

prune453.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
0.3b
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
3.8b
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
29.1b
(sqrt (+ (* re re) (* im im)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
47×*-un-lft-identity
46×times-frac
45×add-cube-cbrt
41×sqrt-prod
30×log-prod
25×pow-unpow associate-*l*
24×unpow-prod-down
16×add-exp-log
15×pow1
10×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube
8×log-pow
5×unswap-sqr
4×associate-*r* prod-exp add-log-exp sqr-pow
3×pow-pow rem-log-exp
2×pow-to-exp sqrt-pow1 pow1/2 sqrt-div div-exp pow-exp cbrt-unprod div-inv
1×cbrt-undiv rem-sqrt-square rec-exp flip3-+ 1-exp pow-prod-down associate-*l/ *-commutative sqrt-pow2 flip-+
Counts
4 → 151
Calls
4 calls:
15.0ms
(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
59.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
15.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
9.0ms
(sqrt (+ (* re re) (* im im)))

series1.1s

Counts
4 → 12
Calls
4 calls:
304.0ms
(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
375.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
353.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
43.0ms
(sqrt (+ (* re re) (* im im)))

simplify63.0ms

Counts
163 → 163

prune431.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
0.3b
(* (/ 1 (sqrt (log 10.0))) (* 1 (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))))
3.8b
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
29.1b
(sqrt (+ (* re re) (* im im)))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
50×add-cube-cbrt log-prod *-un-lft-identity
45×sqrt-prod
42×times-frac
40×distribute-rgt-in distribute-lft-in
38×add-exp-log
36×unpow-prod-down
25×pow-unpow associate-*l*
20×prod-exp
18×pow1
16×add-cbrt-cube
7×1-exp log-pow
6×div-exp cbrt-unprod sqr-pow
4×add-log-exp
3×rec-exp pow-pow rem-log-exp pow-prod-down
2×cbrt-undiv pow-to-exp sqrt-pow1 pow1/2 sqrt-div pow-exp div-inv
1×rem-sqrt-square flip3-+ associate-*r* associate-*l/ *-commutative sqrt-pow2 flip-+
Counts
4 → 174
Calls
4 calls:
15.0ms
(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
88.0ms
(* (/ 1 (sqrt (log 10.0))) (* 1 (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))))
15.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
9.0ms
(sqrt (+ (* re re) (* im im)))

series1.0s

Counts
4 → 12
Calls
4 calls:
299.0ms
(log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
362.0ms
(* (/ 1 (sqrt (log 10.0))) (* 1 (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))))
344.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
44.0ms
(sqrt (+ (* re re) (* im im)))

simplify68.0ms

Counts
186 → 186

prune376.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 7.0b

regimes669.0ms

Accuracy

57.2% (10.6b remaining)

Error of 17.8b against oracle of 7.2b and baseline of 32.0b

bsearch152.0ms

Steps
ItersRangePoint
8
4.309422734686771e+129
1.5352083456254553e+134
4.016329389982055e+133
4
1.9447514843596075e-296
3.5660361064754014e-296
2.570866863735433e-296
7
-1.4840491665705872e-183
-1.9343760202872156e-185
-5.89967699622497e-185
10
-7.876869382815934e+47
-1.2380517177182275e+38
-3.8091466320812615e+47

simplify2.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
834.0ms8000×body80valid